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231424310212000 = 2553291995037157
BaseRepresentation
bin110100100111101010101011…
…110011010111010110100000
31010100101221121002021100002121
4310213222223303113112200
5220313123441403241000
62140110505503354024
766513566101035523
oct6447525363272640
91110357532240077
10231424310212000
1167814553993794
1221b576b92b2914
139c192ac966309
144120dd40c6bba
151bb4d26343b1a
hexd27aabcd75a0

231424310212000 has 96 divisors (see below), whose sum is σ = 588216755664720. Its totient is φ = 89377664588800.

The previous prime is 231424310211977. The next prime is 231424310212009. The reversal of 231424310212000 is 212013424132.

It can be written as a sum of positive squares in 8 ways, for example, as 7510077164304 + 223914233047696 = 2740452^2 + 14963764^2 .

It is a super-2 number, since 2×2314243102120002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (231424310212009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 997402579 + ... + 997634578.

Almost surely, 2231424310212000 is an apocalyptic number.

231424310212000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231424310212000 is an abundant number, since it is smaller than the sum of its proper divisors (356792445452720).

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

231424310212000 is a wasteful number, since it uses less digits than its factorization.

231424310212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1995037211 (or 1995037193 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 231424310212000 its reverse (212013424132), we get a palindrome (231636323636132).

The spelling of 231424310212000 in words is "two hundred thirty-one trillion, four hundred twenty-four billion, three hundred ten million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 125 145 160 200 232 250 290 400 464 500 580 725 800 928 1000 1160 1450 2000 2320 2900 3625 4000 4640 5800 7250 11600 14500 23200 29000 58000 116000 1995037157 3990074314 7980148628 9975185785 15960297256 19950371570 31920594512 39900743140 49875928925 57856077553 63841189024 79801486280 99751857850 115712155106 159602972560 199503715700 231424310212 249379644625 289280387765 319205945120 399007431400 462848620424 498759289250 578560775530 798014862800 925697240848 997518578500 1157121551060 1446401938825 1596029725600 1851394481696 1995037157000 2314243102120 2892803877650 3990074314000 4628486204240 5785607755300 7232009694125 7980148628000 9256972408480 11571215510600 14464019388250 23142431021200 28928038776500 46284862042400 57856077553000 115712155106000 231424310212000