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10131103343114 = 213974017090937
BaseRepresentation
bin1001001101101101010011…
…0100001110001000001010
31022212112011000022010122222
42103123110310032020022
52311441444423434424
633314055320414042
72063643120360365
oct223332464161012
938775130263588
1010131103343114
1132566387a1166
121177586017322
135864887b15b0
142704c2d670dc
151287eea9ce5e
hex936d4d0e20a

10131103343114 has 16 divisors (see below), whose sum is σ = 16534346300808. Its totient is φ = 4627688758272.

The previous prime is 10131103343111. The next prime is 10131103343117. The reversal of 10131103343114 is 41134330113101.

It is an interprime number because it is at equal distance from previous prime (10131103343111) and next prime (10131103343117).

It can be written as a sum of positive squares in 4 ways, for example, as 8357100448225 + 1774002894889 = 2890865^2 + 1331917^2 .

It is a super-2 number, since 2×101311033431142 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

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 7 ways as a sum of consecutive naturals, for example, 2008542947 + ... + 2008547990.

Almost surely, 210131103343114 is an apocalyptic number.

10131103343114 is a deficient number, since it is larger than the sum of its proper divisors (6403242957694).

10131103343114 is a wasteful number, since it uses less digits than its factorization.

10131103343114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4017091049.

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 10131103343114 its reverse (41134330113101), we get a palindrome (51265433456215).

The spelling of 10131103343114 in words is "ten trillion, one hundred thirty-one billion, one hundred three million, three hundred forty-three thousand, one hundred fourteen".

Divisors: 1 2 13 26 97 194 1261 2522 4017090937 8034181874 52222182181 104444364362 389657820889 779315641778 5065551671557 10131103343114