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23115245242401 = 331365855399551
BaseRepresentation
bin1010100000101111011111…
…11110110100100000100001
310000211210111011222200101000
411100113233332310200201
511012210010240224101
6121054555211102213
74604010216462234
oct520275776644041
9100753434880330
1023115245242401
1174021363650a4
122713a80a41969
13cb89b1c07460
1459cad8bd741b
152a1431e1d486
hex1505effb4821

23115245242401 has 16 divisors (see below), whose sum is σ = 36879023749120. Its totient is φ = 14224766302800.

The previous prime is 23115245242361. The next prime is 23115245242499. The reversal of 23115245242401 is 10424254251132.

23115245242401 is a `hidden beast` number, since 2 + 3 + 1 + 1 + 5 + 2 + 4 + 5 + 242 + 401 = 666.

It is a de Polignac number, because none of the positive numbers 2k-23115245242401 is a prime.

It is a super-4 number, since 4×231152452424014 (a number of 55 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23115245242501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32927699425 + ... + 32927700126.

It is an arithmetic number, because the mean of its divisors is an integer number (2304938984320).

Almost surely, 223115245242401 is an apocalyptic number.

It is an amenable number.

23115245242401 is a deficient number, since it is larger than the sum of its proper divisors (13763778506719).

23115245242401 is a wasteful number, since it uses less digits than its factorization.

23115245242401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65855399573 (or 65855399567 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 23115245242401 its reverse (10424254251132), we get a palindrome (33539499493533).

The spelling of 23115245242401 in words is "twenty-three trillion, one hundred fifteen billion, two hundred forty-five million, two hundred forty-two thousand, four hundred one".

Divisors: 1 3 9 13 27 39 117 351 65855399551 197566198653 592698595959 856120194163 1778095787877 2568360582489 7705081747467 23115245242401