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10200110100 = 22352191789493
BaseRepresentation
bin10010111111111100…
…10101010000010100
3222022212022021120120
421133332111100110
5131342212010400
64404051431540
7510524335215
oct113776252024
928285267516
1010200110100
114364772764
121b87bb55b0
13c672b290b
146ca97340c
153ea739ca0
hex25ff95414

10200110100 has 72 divisors (see below), whose sum is σ = 31065615840. Its totient is φ = 2576868480.

The previous prime is 10200110077. The next prime is 10200110153. The reversal of 10200110100 is 101100201.

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 a congruent number.

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, 889047 + ... + 900446.

Almost surely, 210200110100 is an apocalyptic number.

10200110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200110100 is an abundant number, since it is smaller than the sum of its proper divisors (20865505740).

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

10200110100 is a wasteful number, since it uses less digits than its factorization.

10200110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789529 (or 1789522 counting only the distinct ones).

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

Adding to 10200110100 its reverse (101100201), we get a palindrome (10301210301).

It can be divided in two parts, 102001 and 10100, that added together give a triangular number (112101 = T473).

The spelling of 10200110100 in words is "ten billion, two hundred million, one hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2850 5700 1789493 3578986 5368479 7157972 8947465 10736958 17894930 21473916 26842395 34000367 35789860 44737325 53684790 68000734 89474650 102001101 107369580 134211975 136001468 170001835 178949300 204002202 268423950 340003670 408004404 510005505 536847900 680007340 850009175 1020011010 1700018350 2040022020 2550027525 3400036700 5100055050 10200110100