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23321221311312 = 2433432934284809
BaseRepresentation
bin1010100110101111001010…
…00111001010101101010000
310001120111011000022010021000
411103113211013022231100
511024043330123430222
6121333342101102000
74624621414253541
oct523274507125520
9101514130263230
1023321221311312
1174815244a1321
1227479859b7900
131002249363882
145a8a788584c8
152a6989d4e9ac
hex1535e51cab50

23321221311312 has 160 divisors (see below), whose sum is σ = 68731094678400. Its totient is φ = 7567039484928.

The previous prime is 23321221311247. The next prime is 23321221311313. The reversal of 23321221311312 is 21311312212332.

23321221311312 is a `hidden beast` number, since 2 + 3 + 3 + 2 + 12 + 21 + 311 + 312 = 666.

It is a super-2 number, since 2×233212213113122 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23321221311313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3300364 + ... + 7585172.

It is an arithmetic number, because the mean of its divisors is an integer number (429569341740).

Almost surely, 223321221311312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23321221311312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34365547339200).

23321221311312 is an abundant number, since it is smaller than the sum of its proper divisors (45409873367088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23321221311312 is a wasteful number, since it uses less digits than its factorization.

23321221311312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4285162 (or 4285150 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 23321221311312 its reverse (21311312212332), we get a palindrome (44632533523644).

The spelling of 23321221311312 in words is "twenty-three trillion, three hundred twenty-one billion, two hundred twenty-one million, three hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 86 108 129 144 172 216 258 293 344 387 432 516 586 688 774 879 1032 1161 1172 1548 1758 2064 2322 2344 2637 3096 3516 4644 4688 5274 6192 7032 7911 9288 10548 12599 14064 15822 18576 21096 25198 31644 37797 42192 50396 63288 75594 100792 113391 126576 151188 201584 226782 302376 340173 453564 604752 680346 907128 1360692 1814256 2721384 4284809 5442768 8569618 12854427 17139236 25708854 34278472 38563281 51417708 68556944 77126562 102835416 115689843 154253124 184246787 205670832 231379686 308506248 368493574 462759372 552740361 617012496 736987148 925518744 1105480722 1255449037 1473974296 1658221083 1851037488 2210961444 2510898074 2947948592 3316442166 3766347111 4421922888 4974663249 5021796148 6632884332 7532694222 8843845776 9949326498 10043592296 11299041333 13265768664 15065388444 19898652996 20087184592 22598082666 26531537328 30130776888 33897123999 39797305992 45196165332 53984308591 60261553776 67794247998 79594611984 90392330664 107968617182 135588495996 161952925773 180784661328 215937234364 271176991992 323905851546 431874468728 485858777319 542353983984 647811703092 863748937456 971717554638 1295623406184 1457576331957 1943435109276 2591246812368 2915152663914 3886870218552 5830305327828 7773740437104 11660610655656 23321221311312