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231356545653132 = 223316833112726059
BaseRepresentation
bin110100100110101011100100…
…101110000101100110001100
31010100011110200110022001222000
4310212223210232011212030
5220311021201141400012
62140015421345552300
766505646606555124
oct6446534456054614
91110143613261860
10231356545653132
116779883a628729
1221b46547045690
139c12aa06abac3
14411ba06335c84
151bb31ac100ddc
hexd26ae4b8598c

231356545653132 has 48 divisors (see below), whose sum is σ = 599816876937600. Its totient is φ = 77118384353040.

The previous prime is 231356545653131. The next prime is 231356545653137.

231356545653132 is a `hidden beast` number, since 2 + 3 + 1 + 3 + 5 + 6 + 5 + 456 + 53 + 132 = 666.

231356545653132 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×2313565456531323 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (231356545653131) 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 15 ways as a sum of consecutive naturals, for example, 11816719 + ... + 24542777.

It is an arithmetic number, because the mean of its divisors is an integer number (12496184936200).

Almost surely, 2231356545653132 is an apocalyptic number.

It is an amenable number.

231356545653132 is an abundant number, since it is smaller than the sum of its proper divisors (368460331284468).

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

231356545653132 is a wasteful number, since it uses less digits than its factorization.

231356545653132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12894403 (or 12894395 counting only the distinct ones).

The product of its digits is 29160000, while the sum is 54.

The spelling of 231356545653132 in words is "two hundred thirty-one trillion, three hundred fifty-six billion, five hundred forty-five million, six hundred fifty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 168331 336662 504993 673324 1009986 1514979 2019972 3029958 4544937 6059916 9089874 12726059 18179748 25452118 38178177 50904236 76356354 114534531 152712708 229069062 343603593 458138124 687207186 1374414372 2142190237529 4284380475058 6426570712587 8568760950116 12853141425174 19279712137761 25706282850348 38559424275522 57839136413283 77118848551044 115678272826566 231356545653132