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231311323113132 = 223371015158133153
BaseRepresentation
bin110100100110000001011101…
…001111110010011010101100
31010100000010221211010000102010
4310212001131033302122230
5220304301042204110012
62135542542130001220
766502456135404153
oct6446013517623254
91110003854100363
10231311323113132
1167780643695029
1221b39826116210
139c0b7446510b2
1441197562d859a
151bb1e11da4c3c
hexd2605d3f26ac

231311323113132 has 48 divisors (see below), whose sum is σ = 559801874937312. Its totient is φ = 74277117388800.

The previous prime is 231311323113127. The next prime is 231311323113133.

231311323113132 is nontrivially palindromic in base 10.

231311323113132 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 231311323113132.

It is not an unprimeable number, because it can be changed into a prime (231311323113133) 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, 2579021733 + ... + 2579111420.

It is an arithmetic number, because the mean of its divisors is an integer number (11662539061194).

Almost surely, 2231311323113132 is an apocalyptic number.

It is an amenable number.

231311323113132 is an abundant number, since it is smaller than the sum of its proper divisors (328490551824180).

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

231311323113132 is a wasteful number, since it uses less digits than its factorization.

231311323113132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5158133298 (or 5158133296 counting only the distinct ones).

The product of its digits is 5832, while the sum is 30.

The spelling of 231311323113132 in words is "two hundred thirty-one trillion, three hundred eleven billion, three hundred twenty-three million, one hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 37 74 101 111 148 202 222 303 404 444 606 1212 3737 7474 11211 14948 22422 44844 5158133153 10316266306 15474399459 20632532612 30948798918 61897597836 190850926661 381701853322 520971448453 572552779983 763403706644 1041942896906 1145105559966 1562914345359 2083885793812 2290211119932 3125828690718 6251657381436 19275943592761 38551887185522 57827830778283 77103774371044 115655661556566 231311323113132