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10210000200 = 2335223717177
BaseRepresentation
bin10011000001001000…
…00011110101001000
3222100112220202020120
421200210003311020
5131402230001300
64405043423240
7511004366301
oct114044036510
928315822216
1010210000200
11436a3082a4
121b8b384b20
13c6936644a
146cbdc97a8
153eb5403a0
hex260903d48

10210000200 has 96 divisors (see below), whose sum is σ = 31668761760. Its totient is φ = 2721139200.

The previous prime is 10210000193. The next prime is 10210000201. The reversal of 10210000200 is 200001201.

It is a happy number.

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 (10210000201) 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, 1419012 + ... + 1426188.

It is an arithmetic number, because the mean of its divisors is an integer number (329882935).

Almost surely, 210210000200 is an apocalyptic number.

10210000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10210000200 is an abundant number, since it is smaller than the sum of its proper divisors (21458761560).

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

10210000200 is a wasteful number, since it uses less digits than its factorization.

10210000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9567 (or 9558 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 10210000200 its reverse (200001201), we get a palindrome (10410001401).

The spelling of 10210000200 in words is "ten billion, two hundred ten million, two hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 2371 4742 7113 7177 9484 11855 14226 14354 18968 21531 23710 28452 28708 35565 35885 43062 47420 56904 57416 59275 71130 71770 86124 94840 107655 118550 142260 143540 172248 177825 179425 215310 237100 284520 287080 355650 358850 430620 474200 538275 711300 717700 861240 1076550 1422600 1435400 2153100 4306200 17016667 34033334 51050001 68066668 85083335 102100002 136133336 170166670 204200004 255250005 340333340 408400008 425416675 510500010 680666680 850833350 1021000020 1276250025 1701666700 2042000040 2552500050 3403333400 5105000100 10210000200