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21220112320 = 265116199739
BaseRepresentation
bin10011110000110100…
…010011011111000000
32000202212101101200221
4103300310103133000
5321424322043240
613425352352424
71350565656451
oct236064233700
960685341627
1021220112320
118aaa222510
1241426a5714
1320023c16a4
14105436d128
15842e2aa4a
hex4f0d137c0

21220112320 has 112 divisors (see below), whose sum is σ = 55218787200. Its totient is φ = 7703147520.

The previous prime is 21220112299. The next prime is 21220112327. The reversal of 21220112320 is 2321102212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 21220112294 and 21220112303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21220112327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2174011 + ... + 2183749.

Almost surely, 221220112320 is an apocalyptic number.

21220112320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21220112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27609393600).

21220112320 is an abundant number, since it is smaller than the sum of its proper divisors (33998674880).

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

21220112320 is a wasteful number, since it uses less digits than its factorization.

21220112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10386 (or 10376 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 21220112320 its reverse (2321102212), we get a palindrome (23541214532).

The spelling of 21220112320 in words is "twenty-one billion, two hundred twenty million, one hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 619 704 880 1238 1760 2476 3095 3520 4952 6190 6809 9739 9904 12380 13618 19478 19808 24760 27236 34045 38956 39616 48695 49520 54472 68090 77912 97390 99040 107129 108944 136180 155824 194780 198080 214258 217888 272360 311648 389560 428516 435776 535645 544720 623296 779120 857032 1071290 1089440 1558240 1714064 2142580 2178880 3116480 3428128 4285160 6028441 6856256 8570320 12056882 17140640 24113764 30142205 34281280 48227528 60284410 66312851 96455056 120568820 132625702 192910112 241137640 265251404 331564255 385820224 482275280 530502808 663128510 964550560 1061005616 1326257020 1929101120 2122011232 2652514040 4244022464 5305028080 10610056160 21220112320