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131303112103332 = 223213509551202761
BaseRepresentation
bin11101110110101101100011…
…010110101101010110100100
3122012220110021122022222012100
4131312231203112231112210
5114202232233144301312
61143131452244452100
736441223343630541
oct3566554326552644
9565813248288170
10131303112103332
1138923378798744
121288750a6aa030
135835aa4354690
14245d166bb1bc8
15102a7668085dc
hex776b635ad5a4

131303112103332 has 72 divisors (see below), whose sum is σ = 358138482581880. Its totient is φ = 40321584299520.

The previous prime is 131303112103279. The next prime is 131303112103337. The reversal of 131303112103332 is 233301211303131.

131303112103332 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 0 + 311 + 2 + 10 + 3 + 332 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4201253692416 + 127101858410916 = 2049696^2 + 11273946^2 .

It is a junction number, because it is equal to n+sod(n) for n = 131303112103296 and 131303112103305.

It is not an unprimeable number, because it can be changed into a prime (131303112103337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 275363169 + ... + 275839592.

It is an arithmetic number, because the mean of its divisors is an integer number (4974145591415).

Almost surely, 2131303112103332 is an apocalyptic number.

131303112103332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131303112103332 is an abundant number, since it is smaller than the sum of its proper divisors (226835370478548).

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

131303112103332 is a wasteful number, since it uses less digits than its factorization.

131303112103332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551203293 (or 551203288 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 131303112103332 its reverse (233301211303131), we get a palindrome (364604323406463).

The spelling of 131303112103332 in words is "one hundred thirty-one trillion, three hundred three billion, one hundred twelve million, one hundred three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 509 1018 1527 2036 3054 4581 6108 6617 9162 13234 18324 19851 26468 39702 59553 79404 119106 238212 551202761 1102405522 1653608283 2204811044 3307216566 4960824849 6614433132 7165635893 9921649698 14331271786 19843299396 21496907679 28662543572 42993815358 64490723037 85987630716 128981446074 257962892148 280562205349 561124410698 841686616047 1122248821396 1683373232094 2525059848141 3366746464188 3647308669537 5050119696282 7294617339074 10100239392564 10941926008611 14589234678148 21883852017222 32825778025833 43767704034444 65651556051666 131303112103332