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100001001000 = 2335333333667
BaseRepresentation
bin101110100100010000…
…1100010111000101000
3100120010020112012100210
41131020201202320220
53114300224013000
6113535000301120
710140055324605
oct1351041427050
9316106465323
10100001001000
1139456a5a17a
121746a1717a0
139578aa0254
144ba92416ac
152904386350
hex1748862e28

100001001000 has 64 divisors (see below), whose sum is σ = 312003132480. Its totient is φ = 26666932800.

The previous prime is 100001000999. The next prime is 100001001011. The reversal of 100001001000 is 100100001.

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.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16663834 + ... + 16669833.

It is an arithmetic number, because the mean of its divisors is an integer number (4875048945).

Almost surely, 2100001001000 is an apocalyptic number.

100001001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100001001000 is an abundant number, since it is smaller than the sum of its proper divisors (212002131480).

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

100001001000 is a wasteful number, since it uses less digits than its factorization.

100001001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33333691 (or 33333677 counting only the distinct ones).

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

Adding to 100001001000 its reverse (100100001), we get a palindrome (100101101001).

Subtracting from 100001001000 its reverse (100100001), we obtain a palindrome (99900900999).

The spelling of 100001001000 in words is "one hundred billion, one million, one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 33333667 66667334 100001001 133334668 166668335 200002002 266669336 333336670 400004004 500005005 666673340 800008008 833341675 1000010010 1333346680 1666683350 2000020020 2500025025 3333366700 4000040040 4166708375 5000050050 6666733400 8333416750 10000100100 12500125125 16666833500 20000200200 25000250250 33333667000 50000500500 100001001000