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131201431400421 = 321997199229173573
BaseRepresentation
bin11101110101001110110110…
…101101100110111111100101
3122012112201211100011001222200
4131311032312231212333211
5114144101012414303141
61143013034442245113
736430663531130544
oct3565166655467745
9565481740131880
10131201431400421
113889423a67a678
121286b871ab6799
13582931b593b95
14245827c85015b
151027cb4c7cab6
hex7753b6b66fe5

131201431400421 has 96 divisors (see below), whose sum is σ = 203442613920000. Its totient is φ = 81240893927424.

The previous prime is 131201431400407. The next prime is 131201431400441. The reversal of 131201431400421 is 124004134102131.

It is a happy number.

131201431400421 is a `hidden beast` number, since 1 + 3 + 1 + 201 + 4 + 31 + 4 + 0 + 0 + 421 = 666.

It is not a de Polignac number, because 131201431400421 - 26 = 131201431400357 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131201431400441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 755799391 + ... + 755972963.

It is an arithmetic number, because the mean of its divisors is an integer number (2119193895000).

Almost surely, 2131201431400421 is an apocalyptic number.

It is an amenable number.

131201431400421 is a deficient number, since it is larger than the sum of its proper divisors (72241182519579).

131201431400421 is a wasteful number, since it uses less digits than its factorization.

131201431400421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174123 (or 174120 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 131201431400421 its reverse (124004134102131), we get a palindrome (255205565502552).

The spelling of 131201431400421 in words is "one hundred thirty-one trillion, two hundred one billion, four hundred thirty-one million, four hundred thousand, four hundred twenty-one".

Divisors: 1 3 9 19 57 97 171 199 229 291 597 687 873 1791 1843 2061 3781 4351 5529 11343 13053 16587 19303 22213 34029 39159 45571 57909 66639 136713 173573 173727 199917 366757 410139 422047 520719 865849 1100271 1266141 1562157 2597547 3297887 3300813 3798423 4420387 7792641 9893661 13261161 16836581 29680983 34541027 39748217 39783483 50509743 83987353 103623081 119244651 151529229 251962059 310869243 319895039 357733953 656279513 755216123 755886177 959685117 1968838539 2265648369 2879055351 3350479619 3855577049 5906515617 6796945107 7909895183 10051438857 11566731147 23729685549 30154316571 34700193441 63659112761 71189056647 73255963931 150288008477 190977338283 219767891793 450864025431 572932014849 659303675379 767259832751 1352592076293 2301779498253 6905338494759 14577936822269 43733810466807 131201431400421