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130356086013743 = 23110323873215239
BaseRepresentation
bin11101101000111011100100…
…001100110111111100101111
3122002112220211202200000111012
4131220323210030313330233
5114041223231004414433
61141124431553015435
736312626221656152
oct3550734414677457
9562486752600435
10130356086013743
11385987841a67a7
1212753a7155457b
1357976abca6c75
1424293a802dc99
151010cdaa75848
hex768ee4337f2f

130356086013743 has 16 divisors (see below), whose sum is σ = 136153399080960. Its totient is φ = 124569588278784.

The previous prime is 130356086013739. The next prime is 130356086013749. The reversal of 130356086013743 is 347310680653031.

It is a cyclic number.

It is not a de Polignac number, because 130356086013743 - 22 = 130356086013739 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 130356086013691 and 130356086013700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130356086013749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 605526518 + ... + 605741756.

It is an arithmetic number, because the mean of its divisors is an integer number (8509587442560).

Almost surely, 2130356086013743 is an apocalyptic number.

130356086013743 is a deficient number, since it is larger than the sum of its proper divisors (5797313067217).

130356086013743 is a wasteful number, since it uses less digits than its factorization.

130356086013743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240238.

The product of its (nonzero) digits is 3265920, while the sum is 50.

The spelling of 130356086013743 in words is "one hundred thirty trillion, three hundred fifty-six billion, eighty-six million, thirteen thousand, seven hundred forty-three".

Divisors: 1 23 1103 23873 25369 215239 549079 4950497 26331919 237408617 605634137 5138400647 5460398191 118183214881 5667655913641 130356086013743