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10010001200 = 2452177971847
BaseRepresentation
bin10010101001010010…
…00111111100110000
3221211121120202012012
421110221013330300
5131000030014300
64333141022052
7503025414653
oct112451077460
927747522165
1010010001200
114277426071
121b343b4928
13c36aac744
146ad60789a
153d8bd6435
hex254a47f30

10010001200 has 120 divisors (see below), whose sum is σ = 25509429792. Its totient is φ = 3761704960.

The previous prime is 10010001161. The next prime is 10010001227. The reversal of 10010001200 is 210001001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (5).

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, 5418677 + ... + 5420523.

Almost surely, 210010001200 is an apocalyptic number.

10010001200 is a gapful number since it is divisible by the number (10) 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 10010001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12754714896).

10010001200 is an abundant number, since it is smaller than the sum of its proper divisors (15499428592).

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

10010001200 is a wasteful number, since it uses less digits than its factorization.

10010001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2679 (or 2668 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 10010001200 its reverse (210001001), we get a palindrome (10220002201).

The spelling of 10010001200 in words is "ten billion, ten million, one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 340 400 425 680 797 850 1360 1594 1700 1847 3188 3400 3694 3985 6376 6800 7388 7970 9235 12752 13549 14776 15940 18470 19925 27098 29552 31399 31880 36940 39850 46175 54196 62798 63760 67745 73880 79700 92350 108392 125596 135490 147760 156995 159400 184700 216784 251192 270980 313990 318800 338725 369400 502384 541960 627980 677450 738800 784975 1083920 1255960 1354900 1472059 1569950 2511920 2709800 2944118 3139900 5419600 5888236 6279800 7360295 11776472 12559600 14720590 23552944 25025003 29441180 36801475 50050006 58882360 73602950 100100012 117764720 125125015 147205900 200200024 250250030 294411800 400400048 500500060 588823600 625625075 1001000120 1251250150 2002000240 2502500300 5005000600 10010001200