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10010001204 = 22327792112383
BaseRepresentation
bin10010101001010010…
…00111111100110100
3221211121120202012100
421110221013330310
5131000030014304
64333141022100
7503025414660
oct112451077464
927747522170
1010010001204
114277426075
121b343b4930
13c36aac748
146ad6078a0
153d8bd6439
hex254a47f34

10010001204 has 144 divisors (see below), whose sum is σ = 29434961920. Its totient is φ = 2809235520.

The previous prime is 10010001161. The next prime is 10010001227. The reversal of 10010001204 is 40210001001.

It is a happy number.

10010001204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4199397 + ... + 4201779.

Almost surely, 210010001204 is an apocalyptic number.

10010001204 is a gapful number since it is divisible by the number (14) 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 10010001204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14717480960).

10010001204 is an abundant number, since it is smaller than the sum of its proper divisors (19424960716).

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

10010001204 is a wasteful number, since it uses less digits than its factorization.

10010001204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2690 (or 2685 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10010001204 its reverse (40210001001), we get a palindrome (50220002205).

The spelling of 10010001204 in words is "ten billion, ten million, one thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 79 84 126 158 211 237 252 316 422 474 553 633 711 844 948 1106 1266 1422 1477 1659 1899 2212 2383 2532 2844 2954 3318 3798 4431 4766 4977 5908 6636 7149 7596 8862 9532 9954 13293 14298 16669 16681 17724 19908 21447 26586 28596 33338 33362 42894 50007 50043 53172 66676 66724 85788 100014 100086 116683 150021 150129 188257 200028 200172 233366 300042 300258 350049 376514 466732 502813 564771 600084 600516 700098 753028 1005626 1050147 1129542 1317799 1400196 1508439 1694313 2011252 2100294 2259084 2635598 3016878 3388626 3519691 3953397 4200588 4525317 5271196 6033756 6777252 7039382 7906794 9050634 10559073 11860191 14078764 15813588 18101268 21118146 23720382 31677219 39722227 42236292 47440764 63354438 79444454 119166681 126708876 158888908 238333362 278055589 357500043 476666724 556111178 715000086 834166767 1112222356 1430000172 1668333534 2502500301 3336667068 5005000602 10010001204