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37143700100 = 22521328572077
BaseRepresentation
bin100010100101111011…
…111110001010000100
310112212121102110122022
4202211323332022010
51102032241400400
625021422222312
72453312145563
oct424573761204
9115777373568
1037143700100
1114830717711
127247424998
13366c3a2590
141b250cdbda
15e75d7ab85
hex8a5efe284

37143700100 has 36 divisors (see below), whose sum is σ = 86801972964. Its totient is φ = 13714596480.

The previous prime is 37143700093. The next prime is 37143700123. The reversal of 37143700100 is 100734173.

37143700100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 8868484 + 37134831616 = 2978^2 + 192704^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 37143700100.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14284739 + ... + 14287338.

Almost surely, 237143700100 is an apocalyptic number.

It is an amenable number.

37143700100 is an abundant number, since it is smaller than the sum of its proper divisors (49658272864).

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

37143700100 is a wasteful number, since it uses less digits than its factorization.

37143700100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28572104 (or 28572097 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 26.

The spelling of 37143700100 in words is "thirty-seven billion, one hundred forty-three million, seven hundred thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 28572077 57144154 114288308 142860385 285720770 371437001 571441540 714301925 742874002 1428603850 1485748004 1857185005 2857207700 3714370010 7428740020 9285925025 18571850050 37143700100