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10901055431 = 724312973989
BaseRepresentation
bin10100010011100000…
…01110011111000111
31001010201020222210202
422021300032133013
5134311132233211
65001411241115
7534065304500
oct121160163707
931121228722
1010901055431
1146943a8322
1221428a919b
131049593376
14755ab5ba7
1543c04753b
hex289c0e7c7

10901055431 has 24 divisors (see below), whose sum is σ = 12988982160. Its totient is φ = 9117142272.

The previous prime is 10901055349. The next prime is 10901055437. The reversal of 10901055431 is 13455010901.

10901055431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10901055431 - 210 = 10901054407 is a prime.

It is a super-2 number, since 2×109010554312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10901055394 and 10901055403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10901055437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2730785 + ... + 2734773.

It is an arithmetic number, because the mean of its divisors is an integer number (541207590).

Almost surely, 210901055431 is an apocalyptic number.

10901055431 is a deficient number, since it is larger than the sum of its proper divisors (2087926729).

10901055431 is a wasteful number, since it uses less digits than its factorization.

10901055431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5343 (or 5336 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 29.

The spelling of 10901055431 in words is "ten billion, nine hundred one million, fifty-five thousand, four hundred thirty-one".

Divisors: 1 7 43 49 301 1297 2107 3989 9079 27923 55771 63553 171527 195461 390397 1200689 2732779 5173733 8404823 36216131 222470519 253512917 1557293633 10901055431