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10350013113 = 3311172120249
BaseRepresentation
bin10011010001110100…
…01010101010111001
3222201022101010212000
421220322022222321
5132144100404423
64431004411213
7514324442226
oct115072125271
928638333760
1010350013113
114431349050
12200a246b09
13c8c37961b
1470283494d
1540899a843
hex268e8aab9

10350013113 has 32 divisors (see below), whose sum is σ = 16737840000. Its totient is φ = 6268780800.

The previous prime is 10350013111. The next prime is 10350013153. The reversal of 10350013113 is 31131005301.

10350013113 is a `hidden beast` number, since 1 + 0 + 350 + 0 + 1 + 311 + 3 = 666.

10350013113 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 10350013113 - 21 = 10350013111 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10350013111) 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 31 ways as a sum of consecutive naturals, for example, 501013 + ... + 521261.

It is an arithmetic number, because the mean of its divisors is an integer number (523057500).

Almost surely, 210350013113 is an apocalyptic number.

It is an amenable number.

10350013113 is a deficient number, since it is larger than the sum of its proper divisors (6387826887).

10350013113 is a wasteful number, since it uses less digits than its factorization.

10350013113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21990 (or 21984 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

Adding to 10350013113 its reverse (31131005301), we get a palindrome (41481018414).

The spelling of 10350013113 in words is "ten billion, three hundred fifty million, thirteen thousand, one hundred thirteen".

Divisors: 1 3 9 11 27 33 99 297 1721 5163 15489 18931 20249 46467 56793 60747 170379 182241 222739 511137 546723 668217 2004651 6013953 34848529 104545587 313636761 383333819 940910283 1150001457 3450004371 10350013113