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10003001100 = 2235242017937
BaseRepresentation
bin10010101000011100…
…11010111100001100
3221211010102002212020
421110032122330030
5130441232013400
64332331010140
7502612051341
oct112416327414
927733362766
1010003001100
114273484864
121b31b99950
13c354cb481
146ac7047c8
153d82a22a0
hex25439af0c

10003001100 has 72 divisors (see below), whose sum is σ = 28952553168. Its totient is φ = 2666496000.

The previous prime is 10003001077. The next prime is 10003001137. The reversal of 10003001100 is 110030001.

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1256332 + ... + 1264268.

It is an arithmetic number, because the mean of its divisors is an integer number (402118794).

Almost surely, 210003001100 is an apocalyptic number.

10003001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10003001100 is an abundant number, since it is smaller than the sum of its proper divisors (18949552068).

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

10003001100 is a wasteful number, since it uses less digits than its factorization.

10003001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12155 (or 12148 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 6.

Adding to 10003001100 its reverse (110030001), we get a palindrome (10113031101).

The spelling of 10003001100 in words is "ten billion, three million, one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 4201 7937 8402 12603 15874 16804 21005 23811 25206 31748 39685 42010 47622 50412 63015 79370 84020 95244 105025 119055 126030 158740 198425 210050 238110 252060 315075 396850 420100 476220 595275 630150 793700 1190550 1260300 2381100 33343337 66686674 100030011 133373348 166716685 200060022 333433370 400120044 500150055 666866740 833583425 1000300110 1667166850 2000600220 2500750275 3334333700 5001500550 10003001100