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131102500 = 22542292
BaseRepresentation
bin1111101000001…
…11011100100100
3100010200200211011
413310013130210
5232030240000
621001552004
73151232014
oct764073444
9303620734
10131102500
1168005281
1237aa5604
1321213559
14135a9c44
15b79a2ba
hex7d07724

131102500 has 45 divisors (see below), whose sum is σ = 287952357. Its totient is φ = 52212000.

The previous prime is 131102497. The next prime is 131102519. The reversal of 131102500 is 5201131.

The square root of 131102500 is 11450.

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

It can be written as a sum of positive squares in 7 ways, for example, as 35688676 + 95413824 = 5974^2 + 9768^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 572386 + ... + 572614.

Almost surely, 2131102500 is an apocalyptic number.

131102500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131102500 is the 11450-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131102500

131102500 is an abundant number, since it is smaller than the sum of its proper divisors (156849857).

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

131102500 is an frugal number, since it uses more digits than its factorization.

131102500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The cubic root of 131102500 is about 508.0077343977.

Adding to 131102500 its reverse (5201131), we get a palindrome (136303631).

The spelling of 131102500 in words is "one hundred thirty-one million, one hundred two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 229 250 458 500 625 916 1145 1250 2290 2500 4580 5725 11450 22900 28625 52441 57250 104882 114500 143125 209764 262205 286250 524410 572500 1048820 1311025 2622050 5244100 6555125 13110250 26220500 32775625 65551250 131102500