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25525000100 = 22523118145491
BaseRepresentation
bin10111110001011010…
…001001011110100100
32102212212210100120002
4113301122021132210
5404233400000400
615420453200432
71562350630625
oct276132113644
972785710502
1025525000100
11a909219406
124b44330118
13253a232872
141341da9a4c
159e5d27ed5
hex5f16897a4

25525000100 has 72 divisors (see below), whose sum is σ = 57493153536. Its totient is φ = 9825840000.

The previous prime is 25525000087. The next prime is 25525000129. The reversal of 25525000100 is 100052552.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 538355 + ... + 583845.

Almost surely, 225525000100 is an apocalyptic number.

25525000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25525000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28746576768).

25525000100 is an abundant number, since it is smaller than the sum of its proper divisors (31968153436).

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

25525000100 is a wasteful number, since it uses less digits than its factorization.

25525000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45717 (or 45710 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 20.

Adding to 25525000100 its reverse (100052552), we get a palindrome (25625052652).

The spelling of 25525000100 in words is "twenty-five billion, five hundred twenty-five million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 181 310 362 620 724 775 905 1550 1810 3100 3620 4525 5611 9050 11222 18100 22444 28055 45491 56110 90982 112220 140275 181964 227455 280550 454910 561100 909820 1137275 1410221 2274550 2820442 4549100 5640884 7051105 8233871 14102210 16467742 28204420 32935484 35255525 41169355 70511050 82338710 141022100 164677420 205846775 255250001 411693550 510500002 823387100 1021000004 1276250005 2552500010 5105000020 6381250025 12762500050 25525000100