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23023001013120 = 2732519120926957
BaseRepresentation
bin1010011110000011101011…
…10011000000101110000000
310000111222101112012022102200
411033001311303000232000
511004202101224404440
6120544342021113200
74564233266455203
oct517016563005600
9100458345168380
1023023001013120
117376aaa955369
1226ba018558800
13cb00a1168c74
14598467c2793a
1529dd33a39c30
hex14f075cc0b80

23023001013120 has 192 divisors, whose sum is σ = 79917541367040. Its totient is φ = 6107322839040.

The previous prime is 23023001013101. The next prime is 23023001013139. The reversal of 23023001013120 is 2131010032032.

23023001013120 is a `hidden beast` number, since 2 + 302 + 300 + 10 + 1 + 31 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (23023001013101) and next prime (23023001013139).

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 23023001013093 and 23023001013102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9363319 + ... + 11563638.

It is an arithmetic number, because the mean of its divisors is an integer number (416237194620).

Almost surely, 223023001013120 is an apocalyptic number.

23023001013120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23023001013120 is an abundant number, since it is smaller than the sum of its proper divisors (56894540353920).

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

23023001013120 is a wasteful number, since it uses less digits than its factorization.

23023001013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20927173 (or 20927158 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 23023001013120 its reverse (2131010032032), we get a palindrome (25154011045152).

The spelling of 23023001013120 in words is "twenty-three trillion, twenty-three billion, one million, thirteen thousand, one hundred twenty".