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10001532100 = 2252722041129
BaseRepresentation
bin10010101000010001…
…10100010011000100
3221211000122110202211
421110020310103010
5130440343011400
64332235313204
7502563422500
oct112410642304
927730573684
1010001532100
11427267110a
121b315ab804
13c35105941
146ac441300
153d80b1dba
hex2542344c4

10001532100 has 54 divisors (see below), whose sum is σ = 25246736970. Its totient is φ = 3429095040.

The previous prime is 10001532071. The next prime is 10001532103. The reversal of 10001532100 is 123510001.

It can be written as a sum of positive squares in 3 ways, for example, as 1132096 + 10000400004 = 1064^2 + 100002^2 .

It is not an unprimeable number, because it can be changed into a prime (10001532103) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1015665 + ... + 1025464.

Almost surely, 210001532100 is an apocalyptic number.

10001532100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001532100 is an abundant number, since it is smaller than the sum of its proper divisors (15245204870).

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

10001532100 is a wasteful number, since it uses less digits than its factorization.

10001532100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041157 (or 2041143 counting only the distinct ones).

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

The spelling of 10001532100 in words is "ten billion, one million, five hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 2041129 4082258 8164516 10205645 14287903 20411290 28575806 40822580 51028225 57151612 71439515 100015321 102056450 142879030 200030642 204112900 285758060 357197575 400061284 500076605 714395150 1000153210 1428790300 2000306420 2500383025 5000766050 10001532100