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31034107225 = 5211232032
BaseRepresentation
bin11100111001110001…
…101110010101011001
32222002211010222210201
4130321301232111121
51002024212412400
622131252342201
72146024362502
oct347161562531
988084128721
1031034107225
1112185a43100
126021314961
132c076b4874
141705913ba9
15c197e606a
hex739c6e559

31034107225 has 27 divisors (see below), whose sum is σ = 42311928799. Its totient is φ = 22563213200.

The previous prime is 31034107193. The next prime is 31034107231. The reversal of 31034107225 is 52270143013.

The square root of 31034107225 is 176165.

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., 11172278601 + 19861828624 = 105699^2 + 140932^2 .

It is not a de Polignac number, because 31034107225 - 25 = 31034107193 is a prime.

It is a super-2 number, since 2×310341072252 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 31034107193 and 31034107202.

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, 9687474 + ... + 9690676.

Almost surely, 231034107225 is an apocalyptic number.

31034107225 is the 176165-th square number.

31034107225 is the 88083-rd centered octagonal number.

It is an amenable number.

31034107225 is a deficient number, since it is larger than the sum of its proper divisors (11277821574).

31034107225 is an frugal number, since it uses more digits than its factorization.

31034107225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6438 (or 3219 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The spelling of 31034107225 in words is "thirty-one billion, thirty-four million, one hundred seven thousand, two hundred twenty-five".

Divisors: 1 5 11 25 55 121 275 605 3025 3203 16015 35233 80075 176165 387563 880825 1937815 9689075 10259209 51296045 112851299 256480225 564256495 1241364289 2821282475 6206821445 31034107225