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232132331211400 = 235211310271342089
BaseRepresentation
bin110100110001111110000101…
…001001001000101010001000
31010102220122010021200201111101
4310301332011021020222020
5220411224003242231100
62141412042030511144
766616002365163124
oct6461760511105210
91112818107621441
10232132331211400
1167a67850322a04
12220509740654b4
139c6aca5ab9639
14414739c7a0584
151bc846469386a
hexd31f85248a88

232132331211400 has 48 divisors (see below), whose sum is σ = 544483844190900. Its totient is φ = 92031225108480.

The previous prime is 232132331211371. The next prime is 232132331211401. The reversal of 232132331211400 is 4112133231232.

It can be written as a sum of positive squares in 6 ways, for example, as 384868862884 + 231747462348516 = 620378^2 + 15223254^2 .

It is a super-2 number, since 2×2321323312114002 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (232132331211401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5135648445 + ... + 5135693644.

Almost surely, 2232132331211400 is an apocalyptic number.

232132331211400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232132331211400 is an abundant number, since it is smaller than the sum of its proper divisors (312351512979500).

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

232132331211400 is a wasteful number, since it uses less digits than its factorization.

232132331211400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10271342218 (or 10271342209 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 232132331211400 its reverse (4112133231232), we get a palindrome (236244464442632).

The spelling of 232132331211400 in words is "two hundred thirty-two trillion, one hundred thirty-two billion, three hundred thirty-one million, two hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 113 200 226 452 565 904 1130 2260 2825 4520 5650 11300 22600 10271342089 20542684178 41085368356 51356710445 82170736712 102713420890 205426841780 256783552225 410853683560 513567104450 1027134208900 1160661656057 2054268417800 2321323312114 4642646624228 5803308280285 9285293248456 11606616560570 23213233121140 29016541401425 46426466242280 58033082802850 116066165605700 232132331211400