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31502700100 = 2252177492
BaseRepresentation
bin11101010101101101…
…010000111001000100
310000022110212222101101
4131111231100321010
51004004142400400
622245552105444
72163444350464
oct352555207104
9100273788341
1031502700100
11123a64a8943
126132235284
132c807c1361
14174bc51ba4
15c45a0856a
hex755b50e44

31502700100 has 27 divisors (see below), whose sum is σ = 68364710967. Its totient is φ = 12600370080.

The previous prime is 31502700083. The next prime is 31502700121. The reversal of 31502700100 is 100720513.

The square root of 31502700100 is 177490.

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

It can be written as a sum of positive squares in 4 ways, for example, as 12533698116 + 18969001984 = 111954^2 + 137728^2 .

It is a super-2 number, since 2×315027001002 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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, 1766026 + ... + 1783774.

Almost surely, 231502700100 is an apocalyptic number.

31502700100 is the 177490-th square number.

It is an amenable number.

31502700100 is an abundant number, since it is smaller than the sum of its proper divisors (36862010867).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31502700100 is an frugal number, since it uses more digits than its factorization.

31502700100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35512 (or 17756 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 19.

The spelling of 31502700100 in words is "thirty-one billion, five hundred two million, seven hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 17749 35498 70996 88745 177490 354980 443725 887450 1774900 315027001 630054002 1260108004 1575135005 3150270010 6300540020 7875675025 15751350050 31502700100