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23013215104 = 271138942017
BaseRepresentation
bin10101011011101100…
…011100101110000000
32012101211102110022011
4111123230130232000
5334112340340404
614323325022304
71443201046405
oct253354345600
965354373264
1023013215104
11983a3a6140
1245630b4994
132229a38259
14118456c2ac
158ea570604
hex55bb1cb80

23013215104 has 64 divisors (see below), whose sum is σ = 50144281200. Its totient is φ = 10433413120.

The previous prime is 23013215101. The next prime is 23013215143. The reversal of 23013215104 is 40151231032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23013215101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 526704 + ... + 568720.

Almost surely, 223013215104 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 23013215104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25072140600).

23013215104 is an abundant number, since it is smaller than the sum of its proper divisors (27131066096).

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

23013215104 is a wasteful number, since it uses less digits than its factorization.

23013215104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42431 (or 42419 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 23013215104 its reverse (40151231032), we get a palindrome (63164446136).

The spelling of 23013215104 in words is "twenty-three billion, thirteen million, two hundred fifteen thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 389 704 778 1408 1556 3112 4279 6224 8558 12448 17116 24896 34232 42017 49792 68464 84034 136928 168068 273856 336136 462187 547712 672272 924374 1344544 1848748 2689088 3697496 5378176 7394992 14789984 16344613 29579968 32689226 59159936 65378452 130756904 179790743 261513808 359581486 523027616 719162972 1046055232 1438325944 2092110464 2876651888 5753303776 11506607552 23013215104