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231165452052 = 223210163576857
BaseRepresentation
bin1101011101001010001…
…0001101111100010100
3211002200022120200112100
43113102202031330110
512241411323431202
6254110153522100
722462331631153
oct3272242157424
9732608520470
10231165452052
118a044964647
1238974a13330
1318a4cca0672
14b28d22559a
15602e56241c
hex35d288df14

231165452052 has 36 divisors (see below), whose sum is σ = 590120395956. Its totient is φ = 76292227200.

The previous prime is 231165452051. The next prime is 231165452083. The reversal of 231165452052 is 250254561132.

231165452052 is a `hidden beast` number, since 2 + 31 + 1 + 6 + 54 + 520 + 52 = 666.

231165452052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 183495716496 + 47669735556 = 428364^2 + 218334^2 .

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

It is a super-2 number, since 2×2311654520522 (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 231165451998 and 231165452016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231165452051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31784793 + ... + 31792064.

It is an arithmetic number, because the mean of its divisors is an integer number (16392233221).

Almost surely, 2231165452052 is an apocalyptic number.

It is an amenable number.

231165452052 is an abundant number, since it is smaller than the sum of its proper divisors (358954943904).

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

231165452052 is a wasteful number, since it uses less digits than its factorization.

231165452052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63576968 (or 63576963 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 231165452052 in words is "two hundred thirty-one billion, one hundred sixty-five million, four hundred fifty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1212 1818 3636 63576857 127153714 190730571 254307428 381461142 572191713 762922284 1144383426 2288766852 6421262557 12842525114 19263787671 25685050228 38527575342 57791363013 77055150684 115582726026 231165452052