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100020225 = 35210331291
BaseRepresentation
bin1011111011000…
…11000000000001
320222012112221210
411331203000001
5201101121400
613531440333
72323105104
oct575430001
9228175853
10100020225
1151505748
12295b60a9
131794ca86
14d3d873b
158baa950
hex5f63001

100020225 has 24 divisors (see below), whose sum is σ = 165655072. Its totient is φ = 53251200.

The previous prime is 100020191. The next prime is 100020233. The reversal of 100020225 is 522020001.

It is not a de Polignac number, because 100020225 - 210 = 100019201 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100020225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76830 + ... + 78120.

Almost surely, 2100020225 is an apocalyptic number.

100020225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100020225 is a deficient number, since it is larger than the sum of its proper divisors (65634847).

100020225 is a wasteful number, since it uses less digits than its factorization.

100020225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2337 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 100020225 is about 10001.0111988738. The cubic root of 100020225 is about 464.1901732966.

Adding to 100020225 its reverse (522020001), we get a palindrome (622040226).

The spelling of 100020225 in words is "one hundred million, twenty thousand, two hundred twenty-five".

Divisors: 1 3 5 15 25 75 1033 1291 3099 3873 5165 6455 15495 19365 25825 32275 77475 96825 1333603 4000809 6668015 20004045 33340075 100020225