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131012210100414 = 231730373079137359
BaseRepresentation
bin11101110010011110101000…
…001111101000100010111110
3122011212122102011220002012010
4131302132220033220202332
5114133001001241203124
61142350102313152050
736411214461460056
oct3562365017504276
9564778364802163
10131012210100414
1138820a6a1362a5
121283b0640bb626
135814524397cc6
14244d04c0b4566
151022ddcc32529
hex7727a83e88be

131012210100414 has 64 divisors (see below), whose sum is σ = 277621131110400. Its totient is φ = 41074692392448.

The previous prime is 131012210100341. The next prime is 131012210100419. The reversal of 131012210100414 is 414001012210131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131012210100419) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 953725467 + ... + 953862825.

It is an arithmetic number, because the mean of its divisors is an integer number (4337830173600).

Almost surely, 2131012210100414 is an apocalyptic number.

131012210100414 is an abundant number, since it is smaller than the sum of its proper divisors (146608921009986).

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

131012210100414 is a wasteful number, since it uses less digits than its factorization.

131012210100414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143497.

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 131012210100414 its reverse (414001012210131), we get a palindrome (545013222310545).

The spelling of 131012210100414 in words is "one hundred thirty-one trillion, twelve billion, two hundred ten million, one hundred thousand, four hundred fourteen".

Divisors: 1 2 3 6 17 34 51 102 3037 3079 6074 6158 9111 9237 18222 18474 51629 52343 103258 104686 137359 154887 157029 274718 309774 314058 412077 824154 2335103 4670206 7005309 9350923 14010618 18701846 28052769 56105538 158965691 317931382 417159283 422928361 476897073 834318566 845856722 953794146 1251477849 1268785083 2502955698 2537570166 7091707811 7189782137 14183415622 14379564274 21275123433 21569346411 42550246866 43138692822 1284433432357 2568866864714 3853300297071 7706600594142 21835368350069 43670736700138 65506105050207 131012210100414