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10001012100 = 22352167199621
BaseRepresentation
bin10010101000001101…
…10101010110000100
3221210222200001110120
421110012311112010
5130440224341400
64332220221540
7502556125452
oct112406652604
927728601416
1010001012100
114272346462
121b3139a8b0
13c34c83051
146ac3479d2
153d800cca0
hex2541b5584

10001012100 has 72 divisors (see below), whose sum is σ = 29109678528. Its totient is φ = 2650953600.

The previous prime is 10001012041. The next prime is 10001012101. The reversal of 10001012100 is 121010001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (10001012101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49711 + ... + 149910.

Almost surely, 210001012100 is an apocalyptic number.

10001012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001012100 is an abundant number, since it is smaller than the sum of its proper divisors (19108666428).

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

10001012100 is a wasteful number, since it uses less digits than its factorization.

10001012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199805 (or 199798 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10001012100 its reverse (121010001), we get a palindrome (10122022101).

The spelling of 10001012100 in words is "ten billion, one million, twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 167 300 334 501 668 835 1002 1670 2004 2505 3340 4175 5010 8350 10020 12525 16700 25050 50100 199621 399242 598863 798484 998105 1197726 1996210 2395452 2994315 3992420 4990525 5988630 9981050 11977260 14971575 19962100 29943150 33336707 59886300 66673414 100010121 133346828 166683535 200020242 333367070 400040484 500050605 666734140 833417675 1000101210 1666835350 2000202420 2500253025 3333670700 5000506050 10001012100