Base | Representation |
---|---|
bin | 110100110000100000000000… |
… | …100101111000100101111000 |
3 | 1010102112222101212011112212010 |
4 | 310300200000211320211320 |
5 | 220403100122210131412 |
6 | 2141253415053045520 |
7 | 66605465330515353 |
oct | 6460400045704570 |
9 | 1112488355145763 |
10 | 232031323130232 |
11 | 67a28a2795457a |
12 | 220352847868a0 |
13 | 9c615c94a0682 |
14 | 41425398cb29a |
15 | 1bc5a01bcd33c |
hex | d30800978978 |
232031323130232 has 256 divisors, whose sum is σ = 600634029219840. Its totient is φ = 74648770560000.
The previous prime is 232031323130197. The next prime is 232031323130279.
232031323130232 is nontrivially palindromic in base 10.
It is a super-2 number, since 2×2320313231302322 (a number of 30 digits) contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 232031323130232.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42027043632 + ... + 42027049152.
It is an arithmetic number, because the mean of its divisors is an integer number (2346226676640).
Almost surely, 2232031323130232 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 232031323130232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300317014609920).
232031323130232 is an abundant number, since it is smaller than the sum of its proper divisors (368602706089608).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
232031323130232 is a wasteful number, since it uses less digits than its factorization.
232031323130232 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6926 (or 6922 counting only the distinct ones).
The product of its (nonzero) digits is 23328, while the sum is 30.
It can be divided in two parts, 2320313 and 23130232, that added together give a triangular number (25450545 = T7134).
The spelling of 232031323130232 in words is "two hundred thirty-two trillion, thirty-one billion, three hundred twenty-three million, one hundred thirty thousand, two hundred thirty-two".
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