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131120330200032 = 2531971886145943
BaseRepresentation
bin11101110100000011010100…
…101101000101001111100000
3122012020222111020221020001010
4131310003110231011033200
5114141233414012400112
61142511503110140520
736422063005243305
oct3564032455051740
9565228436836033
10131120330200032
1138862902109428
1212857bb9351740
13582179527ac04
1424543877430ac
151025b19c8c63c
hex7740d4b453e0

131120330200032 has 48 divisors (see below), whose sum is σ = 362306175557760. Its totient is φ = 41406420062592.

The previous prime is 131120330200021. The next prime is 131120330200049. The reversal of 131120330200032 is 230002033021131.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1311203302000322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131120330199981 and 131120330200008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35943071148 + ... + 35943074795.

It is an arithmetic number, because the mean of its divisors is an integer number (7548045324120).

Almost surely, 2131120330200032 is an apocalyptic number.

131120330200032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131120330200032 is an abundant number, since it is smaller than the sum of its proper divisors (231185845357728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131120330200032 is a wasteful number, since it uses less digits than its factorization.

131120330200032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71886145975 (or 71886145967 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 131120330200032 its reverse (230002033021131), we get a palindrome (361122363221163).

The spelling of 131120330200032 in words is "one hundred thirty-one trillion, one hundred twenty billion, three hundred thirty million, two hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 71886145943 143772291886 215658437829 287544583772 431316875658 575089167544 862633751316 1150178335088 1365836772917 1725267502632 2300356670176 2731673545834 3450535005264 4097510318751 5463347091668 6901070010528 8195020637502 10926694183336 16390041275004 21853388366672 32780082550008 43706776733344 65560165100016 131120330200032