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231551505401 = 29149296918049
BaseRepresentation
bin1101011110100110001…
…0111001001111111001
3211010200020000020011112
43113221202321033321
512243204141133101
6254212344210105
722505030215136
oct3275142711771
9733606006145
10231551505401
118a2228741a7
1238a62169935
1318ab1c6abb8
14b2c85d958d
1560533bd6bb
hex35e98b93f9

231551505401 has 16 divisors (see below), whose sum is σ = 241238250000. Its totient is φ = 221979426816.

The previous prime is 231551505397. The next prime is 231551505461. The reversal of 231551505401 is 104505155132.

It can be written as a sum of positive squares in 8 ways, for example, as 27835585600 + 203715919801 = 166840^2 + 451349^2 .

It is a cyclic number.

It is not a de Polignac number, because 231551505401 - 22 = 231551505397 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (231551505461) 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, 12820025 + ... + 12838073.

It is an arithmetic number, because the mean of its divisors is an integer number (15077390625).

Almost surely, 2231551505401 is an apocalyptic number.

It is an amenable number.

231551505401 is a deficient number, since it is larger than the sum of its proper divisors (9686744599).

231551505401 is a wasteful number, since it uses less digits than its factorization.

231551505401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21196.

The product of its (nonzero) digits is 15000, while the sum is 32.

The spelling of 231551505401 in words is "two hundred thirty-one billion, five hundred fifty-one million, five hundred five thousand, four hundred one".

Divisors: 1 29 149 2969 4321 18049 86101 442381 523421 2689301 12829049 53587481 77989729 1554036949 7984534669 231551505401