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131100414 = 23233372819
BaseRepresentation
bin1111101000001…
…10111011111110
3100010200120221220
413310012323332
5232030203124
621001534210
73151222644
oct764067376
9303616856
10131100414
1168003755
1237aa4366
1321212613
14135a9194
15b799879
hex7d06efe

131100414 has 32 divisors (see below), whose sum is σ = 274510080. Its totient is φ = 41661312.

The previous prime is 131100401. The next prime is 131100427. The reversal of 131100414 is 414001131.

It is an interprime number because it is at equal distance from previous prime (131100401) and next prime (131100427).

It is a junction number, because it is equal to n+sod(n) for n = 131100393 and 131100402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45097 + ... + 47915.

It is an arithmetic number, because the mean of its divisors is an integer number (8578440).

Almost surely, 2131100414 is an apocalyptic number.

131100414 is an abundant number, since it is smaller than the sum of its proper divisors (143409666).

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

131100414 is a wasteful number, since it uses less digits than its factorization.

131100414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3184.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 131100414 is about 11449.9089079346. The cubic root of 131100414 is about 508.0050400434.

Adding to 131100414 its reverse (414001131), we get a palindrome (545101545).

The spelling of 131100414 in words is "one hundred thirty-one million, one hundred thousand, four hundred fourteen".

Divisors: 1 2 3 6 23 46 69 138 337 674 1011 2022 2819 5638 7751 8457 15502 16914 23253 46506 64837 129674 194511 389022 950003 1900006 2850009 5700018 21850069 43700138 65550207 131100414