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10123103232 = 2103211611637
BaseRepresentation
bin10010110110110001…
…00100110000000000
3222010111101221000100
421123120210300000
5131213003300412
64352301122400
7505600646334
oct113330446000
928114357010
1010123103232
114325256320
121b66259400
13c5435ca18
146c06497c4
153e3ac7edc
hex25b624c00

10123103232 has 264 divisors, whose sum is σ = 32430080592. Its totient is φ = 3015475200.

The previous prime is 10123103201. The next prime is 10123103303. The reversal of 10123103232 is 23230132101.

It is a tau number, because it is divible by the number of its divisors (264).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6183118 + ... + 6184754.

Almost surely, 210123103232 is an apocalyptic number.

10123103232 is a gapful number since it is divisible by the number (12) 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 10123103232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16215040296).

10123103232 is an abundant number, since it is smaller than the sum of its proper divisors (22306977360).

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

10123103232 is a wasteful number, since it uses less digits than its factorization.

10123103232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1735 (or 1714 counting only the distinct ones).

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

Adding to 10123103232 its reverse (23230132101), we get a palindrome (33353235333).

The spelling of 10123103232 in words is "ten billion, one hundred twenty-three million, one hundred three thousand, two hundred thirty-two".