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10131103343113 = 1943471759149993
BaseRepresentation
bin1001001101101101010011…
…0100001110001000001001
31022212112011000022010122221
42103123110310032020021
52311441444423434423
633314055320414041
72063643120360364
oct223332464161011
938775130263587
1010131103343113
1132566387a1165
121177586017321
135864887b15ac
142704c2d670db
151287eea9ce5d
hex936d4d0e209

10131103343113 has 32 divisors (see below), whose sum is σ = 11150913945600. Its totient is φ = 9169942110336.

The previous prime is 10131103343111. The next prime is 10131103343117. The reversal of 10131103343113 is 31134330113101.

It is a cyclic number.

It is not a de Polignac number, because 10131103343113 - 21 = 10131103343111 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10131103343111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67468845 + ... + 67618837.

It is an arithmetic number, because the mean of its divisors is an integer number (348466060800).

Almost surely, 210131103343113 is an apocalyptic number.

It is an amenable number.

10131103343113 is a deficient number, since it is larger than the sum of its proper divisors (1019810602487).

10131103343113 is a wasteful number, since it uses less digits than its factorization.

10131103343113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151861.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 10131103343113 its reverse (31134330113101), we get a palindrome (41265433456214).

The spelling of 10131103343113 in words is "ten trillion, one hundred thirty-one billion, one hundred three million, three hundred forty-three thousand, one hundred thirteen".

Divisors: 1 19 43 47 817 893 1759 2021 33421 38399 75637 82673 149993 1437103 1570787 2849867 3554939 6449699 7049671 67543841 122544281 133943749 263837687 303135853 5012916053 5759581207 11345020541 12400371289 215555390279 235607054491 533215965427 10131103343113