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10146880137 = 319331537811
BaseRepresentation
bin10010111001100110…
…10001101010001001
3222012011010220210110
421130303101222021
5131240100131022
64354510504533
7506310025632
oct113463215211
928164126713
1010146880137
114337716259
121b72205149
13c592662b4
146c3878889
153e5c2300c
hex25ccd1a89

10146880137 has 16 divisors (see below), whose sum is σ = 14284286720. Its totient is φ = 6389182800.

The previous prime is 10146880129. The next prime is 10146880141. The reversal of 10146880137 is 73108864101.

10146880137 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10146880137 - 23 = 10146880129 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10146880095 and 10146880104.

It is not an unprimeable number, because it can be changed into a prime (10146880127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250039 + ... + 287772.

It is an arithmetic number, because the mean of its divisors is an integer number (892767920).

Almost surely, 210146880137 is an apocalyptic number.

It is an amenable number.

10146880137 is a deficient number, since it is larger than the sum of its proper divisors (4137406583).

10146880137 is a wasteful number, since it uses less digits than its factorization.

10146880137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538164.

The product of its (nonzero) digits is 32256, while the sum is 39.

The spelling of 10146880137 in words is "ten billion, one hundred forty-six million, eight hundred eighty thousand, one hundred thirty-seven".

Divisors: 1 3 19 57 331 993 6289 18867 537811 1613433 10218409 30655227 178015441 534046323 3382293379 10146880137