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131201420144431 = 713231031656136749
BaseRepresentation
bin11101110101001110110110…
…000010101010111100101111
3122012112201210112222012200011
4131311032312002222330233
5114144101002024110211
61143013033401114051
736430663333350340
oct3565166602527457
9565481715865604
10131201420144431
11388942342918aa
121286b86a188927
135829319152730
14245827b1600c7
151027cb3ca7921
hex7753b60aaf2f

131201420144431 has 64 divisors (see below), whose sum is σ = 170150303232000. Its totient is φ = 98321702307840.

The previous prime is 131201420144419. The next prime is 131201420144513. The reversal of 131201420144431 is 134441024102131.

It is not a de Polignac number, because 131201420144431 - 213 = 131201420136239 is a prime.

It is a super-2 number, since 2×1312014201444312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131201420144393 and 131201420144402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131201420144401) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3570185445 + ... + 3570222193.

It is an arithmetic number, because the mean of its divisors is an integer number (2658598488000).

Almost surely, 2131201420144431 is an apocalyptic number.

131201420144431 is a deficient number, since it is larger than the sum of its proper divisors (38948883087569).

131201420144431 is a wasteful number, since it uses less digits than its factorization.

131201420144431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53456.

The product of its (nonzero) digits is 9216, while the sum is 31.

Adding to 131201420144431 its reverse (134441024102131), we get a palindrome (265642444246562).

The spelling of 131201420144431 in words is "one hundred thirty-one trillion, two hundred one billion, four hundred twenty million, one hundred forty-four thousand, four hundred thirty-one".

Divisors: 1 7 13 23 91 103 161 299 721 1339 2093 2369 9373 16561 16583 30797 36749 115927 215293 215579 257243 380903 477737 845227 1507051 1705783 2666321 3344159 3785147 4951739 5916589 10987951 11940481 22175179 26496029 34662173 39233009 49206911 76915657 87058381 155226253 274631063 344448377 510029117 608600189 609408667 1131758953 3570203819 4260201323 7911802457 7922312671 13997804347 55382617199 62685819467 97984630429 181971456511 438800736269 814915653071 1273800195577 1441773847741 5704409571497 10092416934187 18743060020633 131201420144431