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23113311012 = 22331127770237
BaseRepresentation
bin10101100001101010…
…010010001100100100
32012122210202212002000
4111201222102030210
5334314001423022
614341302245300
71445524621251
oct254152221444
965583685060
1023113311012
119890952730
124590726830
1322446b35bc
141193986428
159042436ac
hex561a92324

23113311012 has 96 divisors (see below), whose sum is σ = 65607911040. Its totient is φ = 6978648960.

The previous prime is 23113310989. The next prime is 23113311017. The reversal of 23113311012 is 21011331132.

23113311012 is a `hidden beast` number, since 2 + 311 + 331 + 10 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (23113311017) 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, 293958 + ... + 364194.

It is an arithmetic number, because the mean of its divisors is an integer number (683415740).

Almost surely, 223113311012 is an apocalyptic number.

23113311012 is a gapful number since it is divisible by the number (22) 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 23113311012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32803955520).

23113311012 is an abundant number, since it is smaller than the sum of its proper divisors (42494600028).

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

23113311012 is a wasteful number, since it uses less digits than its factorization.

23113311012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70538 (or 70530 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 23113311012 its reverse (21011331132), we get a palindrome (44124642144).

The spelling of 23113311012 in words is "twenty-three billion, one hundred thirteen million, three hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 277 297 396 554 594 831 1108 1188 1662 2493 3047 3324 4986 6094 7479 9141 9972 12188 14958 18282 27423 29916 36564 54846 70237 82269 109692 140474 164538 210711 280948 329076 421422 632133 772607 842844 1264266 1545214 1896399 2317821 2528532 3090428 3792798 4635642 6953463 7585596 9271284 13906926 19455649 20860389 27813852 38911298 41720778 58366947 77822596 83441556 116733894 175100841 214012139 233467788 350201682 428024278 525302523 642036417 700403364 856048556 1050605046 1284072834 1926109251 2101210092 2568145668 3852218502 5778327753 7704437004 11556655506 23113311012