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131410100 = 22521314101
BaseRepresentation
bin1111101010100…
…10100010110100
3100011021022202202
413311102202310
5232120110400
621012324032
73153652553
oct765224264
9304238682
10131410100
11681a5398
1238013618
13212c0573
1413649d9a
15b80b4d5
hex7d528b4

131410100 has 18 divisors (see below), whose sum is σ = 285160134. Its totient is φ = 52564000.

The previous prime is 131410093. The next prime is 131410121. The reversal of 131410100 is 1014131.

It can be written as a sum of positive squares in 3 ways, for example, as 25361296 + 106048804 = 5036^2 + 10298^2 .

It is a super-2 number, since 2×1314101002 = 34537228764020000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 656951 + ... + 657150.

Almost surely, 2131410100 is an apocalyptic number.

131410100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131410100 is an abundant number, since it is smaller than the sum of its proper divisors (153750034).

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

131410100 is a wasteful number, since it uses less digits than its factorization.

131410100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314115 (or 1314108 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 131410100 is about 11463.4244447285. The cubic root of 131410100 is about 508.4047294385.

Adding to 131410100 its reverse (1014131), we get a palindrome (132424231).

The spelling of 131410100 in words is "one hundred thirty-one million, four hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1314101 2628202 5256404 6570505 13141010 26282020 32852525 65705050 131410100