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100000100100 = 223522609127763
BaseRepresentation
bin101110100100001111…
…0000110111100000100
3100120010011211102120010
41131020132012330010
53114300011200400
6113534525110220
710140044553225
oct1351036067404
9316104742503
10100000100100
11394564a432a
12174699b8370
139578846184
144ba908924c
152904259450
hex1748786f04

100000100100 has 72 divisors (see below), whose sum is σ = 289446786720. Its totient is φ = 26656263680.

The previous prime is 100000100087. The next prime is 100000100113. The reversal of 100000100100 is 1001000001.

It is an interprime number because it is at equal distance from previous prime (100000100087) and next prime (100000100113).

It is a Harshad number since it is a multiple of its sum of digits (3).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

100000100100 is a modest number, since divided by 100100 gives 100000 as remainder.

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 23 ways as a sum of consecutive naturals, for example, 718819 + ... + 846581.

It is an arithmetic number, because the mean of its divisors is an integer number (4020094260).

Almost surely, 2100000100100 is an apocalyptic number.

100000100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100000100100 is an abundant number, since it is smaller than the sum of its proper divisors (189446686620).

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

100000100100 is a wasteful number, since it uses less digits than its factorization.

100000100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130389 (or 130382 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 3.

Adding to 100000100100 its reverse (1001000001), we get a palindrome (101001100101).

The spelling of 100000100100 in words is "one hundred billion, one hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 2609 5218 7827 10436 13045 15654 26090 31308 39135 52180 65225 78270 127763 130450 156540 195675 255526 260900 383289 391350 511052 638815 766578 782700 1277630 1533156 1916445 2555260 3194075 3832890 6388150 7665780 9582225 12776300 19164450 38328900 333333667 666667334 1000001001 1333334668 1666668335 2000002002 3333336670 4000004004 5000005005 6666673340 8333341675 10000010010 16666683350 20000020020 25000025025 33333366700 50000050050 100000100100