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103131212329 = 2932341109961
BaseRepresentation
bin110000000001100011…
…0010110101000101001
3100212012101120102001201
41200003012112220221
53142203042243304
6115213335444201
710310454561265
oct1400306265051
9325171512051
10103131212329
113a812976292
1217ba2526661
1399574454c2
144dc4c610a5
152a3909b3a4
hex1803196a29

103131212329 has 8 divisors (see below), whose sum is σ = 106691730120. Its totient is φ = 99570979200.

The previous prime is 103131212323. The next prime is 103131212333. The reversal of 103131212329 is 923212131301.

It can be written as a sum of positive squares in 4 ways, for example, as 24267408400 + 78863803929 = 155780^2 + 280827^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103131212329 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103131212297 and 103131212306.

It is not an unprimeable number, because it can be changed into a prime (103131212323) 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, 882909 + ... + 992869.

It is an arithmetic number, because the mean of its divisors is an integer number (13336466265).

Almost surely, 2103131212329 is an apocalyptic number.

It is an amenable number.

103131212329 is a deficient number, since it is larger than the sum of its proper divisors (3560517791).

103131212329 is a wasteful number, since it uses less digits than its factorization.

103131212329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142331.

The product of its (nonzero) digits is 1944, while the sum is 28.

The spelling of 103131212329 in words is "one hundred three billion, one hundred thirty-one million, two hundred twelve thousand, three hundred twenty-nine".

Divisors: 1 29 32341 109961 937889 3188869 3556248701 103131212329