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130332133022130 = 232513205354259613
BaseRepresentation
bin11101101000100101010000…
…011111011101100110110010
3122002110122000102212222011200
4131220211100133131212302
5114040330202023202010
61141105431053152030
736311120516623314
oct3550452037354662
9562418012788150
10130332133022130
1138589602380666
121274b2a778b616
135795362659450
142428174b4d7b4
151010387c6ccc0
hex7689507dd9b2

130332133022130 has 96 divisors (see below), whose sum is σ = 365107733683056. Its totient is φ = 32066128461312.

The previous prime is 130332133022107. The next prime is 130332133022213. The reversal of 130332133022130 is 31220331233031.

130332133022130 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 321 + 3 + 302 + 2 + 1 + 30 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 23325045819201 + 107007087202929 = 4829601^2 + 10344423^2 .

It is a junction number, because it is equal to n+sod(n) for n = 130332133022094 and 130332133022103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24727797 + ... + 29531816.

Almost surely, 2130332133022130 is an apocalyptic number.

130332133022130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

130332133022130 is an abundant number, since it is smaller than the sum of its proper divisors (234775600660926).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130332133022130 is a wasteful number, since it uses less digits than its factorization.

130332133022130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54261692 (or 54261689 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 130332133022130 its reverse (31220331233031), we get a palindrome (161552464255161).

The spelling of 130332133022130 in words is "one hundred thirty trillion, three hundred thirty-two billion, one hundred thirty-three million, twenty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 2053 4106 6159 10265 12318 18477 20530 26689 30795 36954 53378 61590 80067 92385 133445 160134 184770 240201 266890 400335 480402 800670 1201005 2402010 54259613 108519226 162778839 271298065 325557678 488336517 542596130 705374969 813894195 976673034 1410749938 1627788390 2116124907 2441682585 3526874845 4232249814 4883365170 6348374721 7053749690 10580624535 12696749442 21161249070 31741873605 63483747210 111394985489 222789970978 334184956467 556974927445 668369912934 1002554869401 1113949854890 1448134811357 1670924782335 2005109738802 2896269622714 3341849564670 4344404434071 5012774347005 7240674056785 8688808868142 10025548694010 13033213302213 14481348113570 21722022170355 26066426604426 43444044340710 65166066511065 130332133022130