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131201321434431 = 3297997196797751
BaseRepresentation
bin11101110101001110110000…
…001010000111110100111111
3122012112201112200020020000020
4131311032300022013310333
5114144100301241400211
61143013015513303223
736430661024340153
oct3565166012076477
9565481480206006
10131201321434431
11388941935a1596
121286b841104b13
135829301871151
14245826bdc7063
151027caa2aa306
hex7753b0287d3f

131201321434431 has 32 divisors (see below), whose sum is σ = 185147325081600. Its totient is φ = 82522806912000.

The previous prime is 131201321434397. The next prime is 131201321434481. The reversal of 131201321434431 is 134434123102131.

It is a happy number.

It is not a de Polignac number, because 131201321434431 - 221 = 131201319337279 is a prime.

It is a super-2 number, since 2×1312013214344312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131201321434392 and 131201321434401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131201321434481) 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, 97732195 + ... + 99065556.

It is an arithmetic number, because the mean of its divisors is an integer number (5785853908800).

Almost surely, 2131201321434431 is an apocalyptic number.

131201321434431 is a deficient number, since it is larger than the sum of its proper divisors (53946003647169).

131201321434431 is a wasteful number, since it uses less digits than its factorization.

131201321434431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196797959.

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 131201321434431 its reverse (134434123102131), we get a palindrome (265635444536562).

The spelling of 131201321434431 in words is "one hundred thirty-one trillion, two hundred one billion, three hundred twenty-one million, four hundred thirty-four thousand, four hundred thirty-one".

Divisors: 1 3 29 79 87 97 237 291 2291 2813 6873 7663 8439 22989 222227 666681 196797751 590393253 5707134779 15547022329 17121404337 19089381847 46641066987 57268145541 450863647541 553592073563 1352590942623 1508061165913 1660776220689 4524183497739 43733773811477 131201321434431