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102331531449 = 3272152332
BaseRepresentation
bin101111101001101101…
…1110100000010111001
3100210010122211102010100
41133103123310002321
53134033333001244
6115002131510013
710251604444200
oct1372333640271
9323118742110
10102331531449
113a4425331a4
12179ba758309
13985a874954
144d4a97a237
1529ddc88b69
hex17d36f40b9

102331531449 has 27 divisors (see below), whose sum is σ = 171956106543. Its totient is φ = 58471322112.

The previous prime is 102331531409. The next prime is 102331531453. The reversal of 102331531449 is 944135133201.

The square root of 102331531449 is 319893.

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

102331531449 is a `hidden beast` number, since 1 + 0 + 2 + 331 + 5 + 314 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15796719225 + 86534812224 = 125685^2 + 294168^2 .

It is not a de Polignac number, because 102331531449 - 227 = 102197313721 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102331531409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6710137 + ... + 6725369.

Almost surely, 2102331531449 is an apocalyptic number.

102331531449 is the 319893-rd square number.

102331531449 is the 159947-th centered octagonal number.

It is an amenable number.

102331531449 is a deficient number, since it is larger than the sum of its proper divisors (69624575094).

102331531449 is an frugal number, since it uses more digits than its factorization.

102331531449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30486 (or 15243 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Multiplying 102331531449 by its sum of digits (36), we get a square (3683935132164 = 19193582).

The spelling of 102331531449 in words is "one hundred two billion, three hundred thirty-one million, five hundred thirty-one thousand, four hundred forty-nine".

Divisors: 1 3 7 9 21 49 63 147 441 15233 45699 106631 137097 319893 746417 959679 2239251 6717753 232044289 696132867 1624310023 2088398601 4872930069 11370170161 14618790207 34110510483 102331531449