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10345502431 = 1147131152753
BaseRepresentation
bin10011010001010001…
…11101011011011111
3222200222212222100201
421220220331123133
5132141422034211
64430324004331
7514241214445
oct115050753337
928628788321
1010345502431
114429848110
1220088306a7
13c8b45a494
14701dbcb95
154083a90c1
hex268a3d6df

10345502431 has 16 divisors (see below), whose sum is σ = 11614192128. Its totient is φ = 9134569600.

The previous prime is 10345502429. The next prime is 10345502467. The reversal of 10345502431 is 13420554301.

It is a cyclic number.

It is not a de Polignac number, because 10345502431 - 21 = 10345502429 is a prime.

It is a super-2 number, since 2×103455024312 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10345502431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10345502471) 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, 8650 + ... + 144103.

It is an arithmetic number, because the mean of its divisors is an integer number (725887008).

Almost surely, 210345502431 is an apocalyptic number.

10345502431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10345502431 is a deficient number, since it is larger than the sum of its proper divisors (1268689697).

10345502431 is a wasteful number, since it uses less digits than its factorization.

10345502431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152942.

The product of its (nonzero) digits is 7200, while the sum is 28.

The spelling of 10345502431 in words is "ten billion, three hundred forty-five million, five hundred two thousand, four hundred thirty-one".

Divisors: 1 11 47 131 517 1441 6157 67727 152753 1680283 7179391 20010643 78973301 220117073 940500221 10345502431