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10131979141 = 17829718937
BaseRepresentation
bin10010110111110100…
…11011101110000101
3222011010002212110201
421123322123232011
5131222241313031
64353215250501
7506036254534
oct113372335605
928133085421
1010131979141
11432a268989
121b69219a31
13c56149a3b
146c18ba31b
153e477cd61
hex25be9bb85

10131979141 has 8 divisors (see below), whose sum is σ = 10740933720. Its totient is φ = 9524464128.

The previous prime is 10131979129. The next prime is 10131979213. The reversal of 10131979141 is 14197913101.

10131979141 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1929054241 + 8202924900 = 43921^2 + 90570^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10131979141 - 233 = 1542044549 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10131979141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131679141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 345376 + ... + 373561.

It is an arithmetic number, because the mean of its divisors is an integer number (1342616715).

Almost surely, 210131979141 is an apocalyptic number.

It is an amenable number.

10131979141 is a deficient number, since it is larger than the sum of its proper divisors (608954579).

10131979141 is an equidigital number, since it uses as much as digits as its factorization.

10131979141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719783.

The product of its (nonzero) digits is 6804, while the sum is 37.

The spelling of 10131979141 in words is "ten billion, one hundred thirty-one million, nine hundred seventy-nine thousand, one hundred forty-one".

Divisors: 1 17 829 14093 718937 12221929 595998773 10131979141