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10221120100 = 2252285135851
BaseRepresentation
bin10011000010011100…
…11110101001100100
3222101022211200212201
421201032132221210
5131413101320400
64410122024244
7511201041652
oct114116365144
928338750781
1010221120100
1143756128a4
121b93048084
13c6b75a979
146cd681dd2
153ec4da06a
hex26139ea64

10221120100 has 36 divisors (see below), whose sum is σ = 22188229168. Its totient is φ = 4086900000.

The previous prime is 10221120079. The next prime is 10221120163. The reversal of 10221120100 is 102112201.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 267175 + ... + 303025.

Almost surely, 210221120100 is an apocalyptic number.

10221120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221120100 is an abundant number, since it is smaller than the sum of its proper divisors (11967109068).

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

10221120100 is a wasteful number, since it uses less digits than its factorization.

10221120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38716 (or 38709 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10221120100 its reverse (102112201), we get a palindrome (10323232301).

It can be divided in two parts, 10221 and 120100, that added together give a 4-th power (130321 = 194).

The spelling of 10221120100 in words is "ten billion, two hundred twenty-one million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2851 5702 11404 14255 28510 35851 57020 71275 71702 142550 143404 179255 285100 358510 717020 896275 1792550 3585100 102211201 204422402 408844804 511056005 1022112010 2044224020 2555280025 5110560050 10221120100