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231311230220232 = 23325360616150477
BaseRepresentation
bin110100100110000001010111…
…101101011011011111001000
31010100000010201100022120022100
4310212001113231123133020
5220304300344414021412
62135542525010553400
766502453630002321
oct6446012755333710
91110003640276270
10231311230220232
11677805a6208238
1221b397bab98860
139c0b72b328496
144119747c37448
151bb1e08b55edc
hexd26057b5b7c8

231311230220232 has 48 divisors (see below), whose sum is σ = 638288064533340. Its totient is φ = 75648955794048.

The previous prime is 231311230220183. The next prime is 231311230220249. The reversal of 231311230220232 is 232022032113132.

231311230220232 is a `hidden beast` number, since 2 + 3 + 1 + 311 + 2 + 302 + 20 + 23 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 214313964765156 + 16997265455076 = 14639466^2 + 4122774^2 .

It is a junction number, because it is equal to n+sod(n) for n = 231311230220196 and 231311230220205.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30308071423 + ... + 30308079054.

Almost surely, 2231311230220232 is an apocalyptic number.

It is an amenable number.

231311230220232 is an abundant number, since it is smaller than the sum of its proper divisors (406976834313108).

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

231311230220232 is a wasteful number, since it uses less digits than its factorization.

231311230220232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60616150542 (or 60616150535 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 231311230220232 its reverse (232022032113132), we get a palindrome (463333262333364).

The spelling of 231311230220232 in words is "two hundred thirty-one trillion, three hundred eleven billion, two hundred thirty million, two hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 3816 60616150477 121232300954 181848451431 242464601908 363696902862 484929203816 545545354293 727393805724 1091090708586 1454787611448 2182181417172 3212655975281 4364362834344 6425311950562 9637967925843 12850623901124 19275935851686 25701247802248 28913903777529 38551871703372 57827807555058 77103743406744 115655615110116 231311230220232