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131013303041229 = 3723461326591573
BaseRepresentation
bin11101110010011111101001…
…011000110111110011001101
3122011212202020100110020010120
4131302133221120313303031
5114133010221034304404
61142350402554455153
736411253532352330
oct3562375130676315
9564782210406116
10131013303041229
1138821480069974
121283b30a1344b9
13581466994684b
14244d1132d6617
151022e53b719d9
hex7727e9637ccd

131013303041229 has 16 divisors (see below), whose sum is σ = 199640177357952. Its totient is φ = 74864422680768.

The previous prime is 131013303041227. The next prime is 131013303041239. The reversal of 131013303041229 is 922140303310131.

It is not a de Polignac number, because 131013303041229 - 21 = 131013303041227 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131013303041229.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131013303041227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8368914 + ... + 18222659.

It is an arithmetic number, because the mean of its divisors is an integer number (12477511084872).

Almost surely, 2131013303041229 is an apocalyptic number.

It is an amenable number.

131013303041229 is a deficient number, since it is larger than the sum of its proper divisors (68626874316723).

131013303041229 is a wasteful number, since it uses less digits than its factorization.

131013303041229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26826196.

The product of its (nonzero) digits is 11664, while the sum is 33.

The spelling of 131013303041229 in words is "one hundred thirty-one trillion, thirteen billion, three hundred three million, forty-one thousand, two hundred twenty-nine".

Divisors: 1 3 7 21 234613 703839 1642291 4926873 26591573 79774719 186141011 558423033 6238728716249 18716186148747 43671101013743 131013303041229