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130434430440231 = 32375937791756787
BaseRepresentation
bin11101101010000100100001…
…111001001001001100100111
3122002211102001201112020120200
4131222010201321021030213
5114044014203143041411
61141224430010001543
736321401531420631
oct3552044171111447
9562742051466520
10130434430440231
1138618a27623a05
1212767096a162b3
1357a1bb6118a88
14242d0bad69a51
151012d73a18e56
hex76a121e49327

130434430440231 has 48 divisors (see below), whose sum is σ = 196829122089600. Its totient is φ = 83150058700224.

The previous prime is 130434430440179. The next prime is 130434430440247. The reversal of 130434430440231 is 132044034434031.

130434430440231 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 344 + 304 + 4 + 0 + 2 + 3 + 1 = 666.

It is not a de Polignac number, because 130434430440231 - 27 = 130434430440103 is a prime.

It is a super-2 number, since 2×1304344304402312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130434430440031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73367620 + ... + 75124406.

It is an arithmetic number, because the mean of its divisors is an integer number (4100606710200).

Almost surely, 2130434430440231 is an apocalyptic number.

130434430440231 is a deficient number, since it is larger than the sum of its proper divisors (66394691649369).

130434430440231 is a wasteful number, since it uses less digits than its factorization.

130434430440231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1760668 (or 1760665 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 130434430440231 its reverse (132044034434031), we get a palindrome (262478464874262).

The spelling of 130434430440231 in words is "one hundred thirty trillion, four hundred thirty-four billion, four hundred thirty million, four hundred forty thousand, two hundred thirty-one".

Divisors: 1 3 9 37 59 111 177 333 531 2183 3779 6549 11337 19647 34011 139823 222961 419469 668883 1258407 1756787 2006649 5270361 8249557 15811083 24748671 65001119 74246013 103650433 195003357 310951299 585010071 932853897 3835066021 6638898073 11505198063 19916694219 34515594189 59750082657 245639228701 391694986307 736917686103 1175084958921 2210753058309 3525254876763 14492714493359 43478143480077 130434430440231