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10010100432 = 243208543759
BaseRepresentation
bin10010101001010011…
…00000001011010000
3221211121202210022110
421110221200023100
5131000041203212
64333143105320
7503026310163
oct112451401320
927747683273
1010010100432
114277493682
121b34442240
13c36b15967
146ad631ada
153d8c05a3c
hex254a602d0

10010100432 has 20 divisors (see below), whose sum is σ = 25859426240. Its totient is φ = 3336700128.

The previous prime is 10010100413. The next prime is 10010100437. The reversal of 10010100432 is 23400101001.

It is a happy number.

It is a super-2 number, since 2×100101004322 (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010100437) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 104271832 + ... + 104271927.

It is an arithmetic number, because the mean of its divisors is an integer number (1292971312).

Almost surely, 210010100432 is an apocalyptic number.

10010100432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10010100432 is an abundant number, since it is smaller than the sum of its proper divisors (15849325808).

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

10010100432 is a wasteful number, since it uses less digits than its factorization.

10010100432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208543770 (or 208543764 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10010100432 its reverse (23400101001), we get a palindrome (33410201433).

The spelling of 10010100432 in words is "ten billion, ten million, one hundred thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 208543759 417087518 625631277 834175036 1251262554 1668350072 2502525108 3336700144 5005050216 10010100432