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130230561416345 = 51317979531274929
BaseRepresentation
bin11101100111000110101010…
…010110100010010010011001
3122002002220211201222210002022
4131213012222112202102121
5114032144142210310340
61140551032145144225
736300563500334615
oct3547065226422231
9562086751883068
10130230561416345
113854a51a8a7905
121273367b62b075
1357888c6376070
14242329b0aa345
15100c8e0a923b5
hex7671aa5a2499

130230561416345 has 64 divisors (see below), whose sum is σ = 180223982406720. Its totient is φ = 89485992787968.

The previous prime is 130230561416323. The next prime is 130230561416357. The reversal of 130230561416345 is 543614165032031.

It is a happy number.

It can be written as a sum of positive squares in 32 ways, for example, as 102324392264704 + 27906169151641 = 10115552^2 + 5282629^2 .

It is not a de Polignac number, because 130230561416345 - 232 = 130226266449049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 130230561416296 and 130230561416305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101509841 + ... + 102784769.

It is an arithmetic number, because the mean of its divisors is an integer number (2815999725105).

Almost surely, 2130230561416345 is an apocalyptic number.

It is an amenable number.

130230561416345 is a deficient number, since it is larger than the sum of its proper divisors (49993420990375).

130230561416345 is a wasteful number, since it uses less digits than its factorization.

130230561416345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276014.

The product of its (nonzero) digits is 777600, while the sum is 44.

The spelling of 130230561416345 in words is "one hundred thirty trillion, two hundred thirty billion, five hundred sixty-one million, four hundred sixteen thousand, three hundred forty-five".

Divisors: 1 5 13 17 65 85 97 221 485 953 1105 1261 1649 4765 6305 8245 12389 16201 21437 61945 81005 92441 107185 210613 462205 1053065 1201733 1274929 1571497 6008665 6374645 7857485 16574077 20429461 21673793 82870385 102147305 108368965 123668113 281759309 618340565 1215007337 1408796545 1607685469 2102357921 6075036685 8038427345 10511789605 15795095381 20655124729 27330652973 78975476905 103275623645 117855711689 136653264865 268516621477 589278558445 1342583107385 1532124251957 2003547098713 7660621259785 10017735493565 26046112283269 130230561416345