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231123363321132 = 22329749658538663
BaseRepresentation
bin110100100011010010011001…
…111110000101010100101100
31010022100011210120121021021100
4310203102121332011110230
5220243211122002234012
62135320335103203100
766453053254466322
oct6443223176052454
91108304716537240
10231123363321132
1167708960248357
1221b0930a8a6490
139bc6abb903b69
1441106052ddd12
151bac0b09948dc
hexd23499f8552c

231123363321132 has 36 divisors (see below), whose sum is σ = 584288429634000. Its totient is φ = 77033218526112.

The previous prime is 231123363321131. The next prime is 231123363321133.

231123363321132 is a `hidden beast` number, since 2 + 3 + 1 + 1 + 2 + 3 + 3 + 633 + 2 + 1 + 13 + 2 = 666.

231123363321132 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (231123363321131) and next prime (231123363321133).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2311233633211322 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (231123363321131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 328918368 + ... + 329620295.

It is an arithmetic number, because the mean of its divisors is an integer number (16230234156500).

Almost surely, 2231123363321132 is an apocalyptic number.

It is an amenable number.

231123363321132 is an abundant number, since it is smaller than the sum of its proper divisors (353165066312868).

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

231123363321132 is a wasteful number, since it uses less digits than its factorization.

231123363321132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658548422 (or 658548417 counting only the distinct ones).

The product of its digits is 69984, while the sum is 36.

The spelling of 231123363321132 in words is "two hundred thirty-one trillion, one hundred twenty-three billion, three hundred sixty-three million, three hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 9749 19498 29247 38996 58494 87741 116988 175482 350964 658538663 1317077326 1975615989 2634154652 3951231978 5926847967 7902463956 11853695934 23707391868 6420093425587 12840186851174 19260280276761 25680373702348 38520560553522 57780840830283 77041121107044 115561681660566 231123363321132