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1110010000100 = 225229382762069
BaseRepresentation
bin10000001001110001110…
…000000111001011100100
310221010010111122110102012
4100021301300013023210
5121141300030000400
62205533114333352
7143124040216211
oct20116160071344
93833114573365
101110010000100
11398830786251
1215b16412a258
138089a887361
143ba20ab0b08
151dd19686d35
hex10271c072e4

1110010000100 has 36 divisors (see below), whose sum is σ = 2491781075700. Its totient is φ = 428693516160.

The previous prime is 1110010000093. The next prime is 1110010000139. The reversal of 1110010000100 is 10000100111.

It can be written as a sum of positive squares in 6 ways, for example, as 150593668096 + 959416332004 = 388064^2 + 979498^2 .

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 11 ways as a sum of consecutive naturals, for example, 191378135 + ... + 191383934.

Almost surely, 21110010000100 is an apocalyptic number.

1110010000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1110010000100 is an abundant number, since it is smaller than the sum of its proper divisors (1381771075600).

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

1110010000100 is a wasteful number, since it uses less digits than its factorization.

1110010000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382762112 (or 382762105 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 1110010000100 its reverse (10000100111), we get a palindrome (1120010100211).

The spelling of 1110010000100 in words is "one trillion, one hundred ten billion, ten million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 382762069 765524138 1531048276 1913810345 3827620690 7655241380 9569051725 11100100001 19138103450 22200200002 38276206900 44400400004 55500500005 111001000010 222002000020 277502500025 555005000050 1110010000100