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131043144034201 = 7323149337133071
BaseRepresentation
bin11101110010111011011100…
…000011001110011110011001
3122011222121021000112201212111
4131302323130003032132121
5114134002324333043301
61142412220030512321
736413361161536000
oct3562733403163631
9564877230481774
10131043144034201
11388330a3579633
12128450579656a1
1358174140a8139
14245074458dc37
151023aed83c551
hex772edc0ce799

131043144034201 has 64 divisors (see below), whose sum is σ = 160587048960000. Its totient is φ = 106683148017600.

The previous prime is 131043144034093. The next prime is 131043144034259. The reversal of 131043144034201 is 102430441340131.

It is not a de Polignac number, because 131043144034201 - 213 = 131043144026009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131043144034291) 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, 3962462496 + ... + 3962495566.

It is an arithmetic number, because the mean of its divisors is an integer number (2509172640000).

Almost surely, 2131043144034201 is an apocalyptic number.

It is an amenable number.

131043144034201 is a deficient number, since it is larger than the sum of its proper divisors (29543904925799).

131043144034201 is a wasteful number, since it uses less digits than its factorization.

131043144034201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36635 (or 36621 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 131043144034201 its reverse (102430441340131), we get a palindrome (233473585374332).

The spelling of 131043144034201 in words is "one hundred thirty-one trillion, forty-three billion, one hundred forty-four million, thirty-four thousand, two hundred one".

Divisors: 1 7 23 49 149 161 343 1043 1127 3371 3427 7301 7889 23597 23989 33071 51107 77533 165179 167923 231497 502279 542731 760633 1156253 1175461 1620479 3515953 3799117 4927579 5324431 11343353 11552417 24611671 26593819 34493053 37271017 80866919 111482341 113334317 172281697 241451371 260897119 566068433 780376387 793340219 1690159597 2564093843 3962479031 5462634709 5553381533 16610868809 17948656901 38238442963 38873670731 116276081663 125640598307 382049982607 813932571641 879484188149 2674349878249 5697528001487 18720449147743 131043144034201