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10345991229 = 327229717127
BaseRepresentation
bin10011010001010101…
…10100110000111101
3222201000210210212100
421220222310300331
5132142033204404
64430342255313
7514245321510
oct115052646075
928630723770
1010345991229
11442a051382
122008a27539
13c8b59bb02
147020a8d77
15408453d39
hex268ab4c3d

10345991229 has 24 divisors (see below), whose sum is σ = 17153701760. Its totient is φ = 5886170208.

The previous prime is 10345991219. The next prime is 10345991233. The reversal of 10345991229 is 92219954301.

10345991229 is a `hidden beast` number, since 1 + 0 + 34 + 599 + 1 + 2 + 29 = 666.

10345991229 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 10345991229 - 27 = 10345991101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10345991219) 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, 344137 + ... + 372990.

Almost surely, 210345991229 is an apocalyptic number.

It is an amenable number.

10345991229 is a deficient number, since it is larger than the sum of its proper divisors (6807710531).

10345991229 is a wasteful number, since it uses less digits than its factorization.

10345991229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717369 (or 717366 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 10345991229 in words is "ten billion, three hundred forty-five million, nine hundred ninety-one thousand, two hundred twenty-nine".

Divisors: 1 3 7 9 21 63 229 687 1603 2061 4809 14427 717127 2151381 5019889 6454143 15059667 45179001 164222083 492666249 1149554581 1477998747 3448663743 10345991229