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31089800329 = 72251892
BaseRepresentation
bin11100111101000110…
…001011010010001001
32222020200221111101021
4130331012023102021
51002132442102304
622141002152441
72150301641200
oct347506132211
988220844337
1031089800329
1112204422165
126037ab2721
132c160b4373
14170d090237
15c1e647a54
hex73d18b489

31089800329 has 9 divisors (see below), whose sum is σ = 36167121927. Its totient is φ = 26647342344.

The previous prime is 31089800309. The next prime is 31089800347. The reversal of 31089800329 is 92300898013.

It is a happy number.

The square root of 31089800329 is 176323.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 29988887929 + 1100912400 = 173173^2 + 33180^2 .

It is not a de Polignac number, because 31089800329 - 25 = 31089800297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31089800309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1221667 + ... + 1246855.

It is an arithmetic number, because the mean of its divisors is an integer number (4018569103).

Almost surely, 231089800329 is an apocalyptic number.

31089800329 is the 176323-rd square number.

31089800329 is the 88162-nd centered octagonal number.

It is an amenable number.

31089800329 is a deficient number, since it is larger than the sum of its proper divisors (5077321598).

31089800329 is an frugal number, since it uses more digits than its factorization.

31089800329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50392 (or 25196 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The spelling of 31089800329 in words is "thirty-one billion, eighty-nine million, eight hundred thousand, three hundred twenty-nine".

Divisors: 1 7 49 25189 176323 1234261 634485721 4441400047 31089800329