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31139896225 = 5229212172
BaseRepresentation
bin11101000000000101…
…010001101110100001
32222101012012122000211
4131000011101232201
51002233303134400
622145552014121
72151450515314
oct350005215641
988335178024
1031139896225
111222a728a29
126050831341
132c235a42c9
1417159b097b
15c23c40dba
hex740151ba1

31139896225 has 27 divisors (see below), whose sum is σ = 40023771307. Its totient is φ = 24033121280.

The previous prime is 31139896199. The next prime is 31139896237. The reversal of 31139896225 is 52269893113.

The square root of 31139896225 is 176465.

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

It can be written as a sum of positive squares in 13 ways, for example, as 23973257889 + 7166638336 = 154833^2 + 84656^2 .

It is not a de Polignac number, because 31139896225 - 29 = 31139895713 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25586817 + ... + 25588033.

Almost surely, 231139896225 is an apocalyptic number.

31139896225 is the 176465-th square number.

31139896225 is the 88233-rd centered octagonal number.

It is an amenable number.

31139896225 is a deficient number, since it is larger than the sum of its proper divisors (8883875082).

31139896225 is an frugal number, since it uses more digits than its factorization.

31139896225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2502 (or 1251 counting only the distinct ones).

The product of its digits is 699840, while the sum is 49.

Multiplying 31139896225 by its sum of digits (49), we get a square (1525854915025 = 12352552).

The spelling of 31139896225 in words is "thirty-one billion, one hundred thirty-nine million, eight hundred ninety-six thousand, two hundred twenty-five".

Divisors: 1 5 25 29 145 725 841 1217 4205 6085 21025 30425 35293 176465 882325 1023497 1481089 5117485 7405445 25587425 37027225 42951581 214757905 1073789525 1245595849 6227979245 31139896225