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231263244441513 = 32156292326970657
BaseRepresentation
bin110100100101010100101011…
…100010001101011110101001
31010022211112212010121102211200
4310211110223202031132221
5220303004111034112023
62135504511241114413
766466134533421654
oct6445245342153651
91108745763542750
10231263244441513
1167762211515479
1221b30448788a09
139c07051971b8b
1441172b4c2489b
151bb0a4b032743
hexd2552b88d7a9

231263244441513 has 24 divisors (see below), whose sum is σ = 334087367195400. Its totient is φ = 154156824428544.

The previous prime is 231263244441511. The next prime is 231263244441517. The reversal of 231263244441513 is 315144442362132.

It is a happy number.

231263244441513 is a `hidden beast` number, since 2 + 3 + 1 + 2 + 632 + 4 + 4 + 4 + 4 + 1 + 5 + 1 + 3 = 666.

231263244441513 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 4 ways, for example, as 163270818396009 + 67992426045504 = 12777747^2 + 8245752^2 .

It is not a de Polignac number, because 231263244441513 - 21 = 231263244441511 is a prime.

It is a super-3 number, since 3×2312632444415133 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (231263244441511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3273005481 + ... + 3273076137.

It is an arithmetic number, because the mean of its divisors is an integer number (13920306966475).

Almost surely, 2231263244441513 is an apocalyptic number.

It is an amenable number.

231263244441513 is a deficient number, since it is larger than the sum of its proper divisors (102824122753887).

231263244441513 is a wasteful number, since it uses less digits than its factorization.

231263244441513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109561 (or 109558 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 45.

The spelling of 231263244441513 in words is "two hundred thirty-one trillion, two hundred sixty-three billion, two hundred forty-four million, four hundred forty-one thousand, five hundred thirteen".

Divisors: 1 3 9 15629 23269 46887 69807 70657 140661 209421 211971 635913 363671201 1091013603 1104298253 1644117733 3273040809 3312894759 4932353199 9938684277 14797059597 25695916049057 77087748147171 231263244441513