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10231110120 = 233571119101577
BaseRepresentation
bin10011000011101001…
…00101100111101000
3222102000122020121110
421201310211213220
5131423131010440
64411120110320
7511352000250
oct114164454750
928360566543
1010231110120
114380216510
121b964653a0
13c70847b1a
146d0b22960
153ed310080
hex261d259e8

10231110120 has 512 divisors, whose sum is σ = 40750387200. Its totient is φ = 1990656000.

The previous prime is 10231110107. The next prime is 10231110133. The reversal of 10231110120 is 2101113201.

It is an interprime number because it is at equal distance from previous prime (10231110107) and next prime (10231110133).

It is a super-2 number, since 2×102311101202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10231110096 and 10231110105.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17731272 + ... + 17731848.

It is an arithmetic number, because the mean of its divisors is an integer number (79590600).

Almost surely, 210231110120 is an apocalyptic number.

10231110120 is a gapful number since it is divisible by the number (10) 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 10231110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20375193600).

10231110120 is an abundant number, since it is smaller than the sum of its proper divisors (30519277080).

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

10231110120 is a wasteful number, since it uses less digits than its factorization.

10231110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10231110120 its reverse (2101113201), we get a palindrome (12332223321).

The spelling of 10231110120 in words is "ten billion, two hundred thirty-one million, one hundred ten thousand, one hundred twenty".