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10142112432 = 243211294009
BaseRepresentation
bin10010111001000010…
…00101101010110000
3222011211011200201210
421130201011222300
5131232340044212
64354220400120
7506221350624
oct113441055260
928154150653
1010142112432
114334a5a201
121b706a6040
13c5828717a
146c2d97184
153e55d053c
hex25c845ab0

10142112432 has 20 divisors (see below), whose sum is σ = 26200457240. Its totient is φ = 3380704128.

The previous prime is 10142112403. The next prime is 10142112457. The reversal of 10142112432 is 23421124101.

It is a junction number, because it is equal to n+sod(n) for n = 10142112399 and 10142112408.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 105646957 + ... + 105647052.

It is an arithmetic number, because the mean of its divisors is an integer number (1310022862).

Almost surely, 210142112432 is an apocalyptic number.

10142112432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10142112432 is an abundant number, since it is smaller than the sum of its proper divisors (16058344808).

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

10142112432 is a wasteful number, since it uses less digits than its factorization.

10142112432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211294020 (or 211294014 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 10142112432 its reverse (23421124101), we get a palindrome (33563236533).

The spelling of 10142112432 in words is "ten billion, one hundred forty-two million, one hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 211294009 422588018 633882027 845176036 1267764054 1690352072 2535528108 3380704144 5071056216 10142112432