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1011100100100 = 2235224113984787
BaseRepresentation
bin11101011011010100100…
…00110010011000000100
310120122211022012221020120
432231222100302120010
5113031213111200400
62052254252101540
7133023001021626
oct16555220623004
93518738187216
101011100100100
1135a894713442
12143b5b4648b0
1374466b703cc
1436d1a732c16
151b47aec9ca0
hexeb6a432604

1011100100100 has 72 divisors (see below), whose sum is σ = 2937588628128. Its totient is φ = 268507891200.

The previous prime is 1011100100081. The next prime is 1011100100113. The reversal of 1011100100100 is 10010011101.

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 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, 6920094 + ... + 7064693.

Almost surely, 21011100100100 is an apocalyptic number.

1011100100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011100100100 is an abundant number, since it is smaller than the sum of its proper divisors (1926488528028).

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

1011100100100 is a wasteful number, since it uses less digits than its factorization.

1011100100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13985045 (or 13985038 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1011100100100 its reverse (10010011101), we get a palindrome (1021110111201).

The spelling of 1011100100100 in words is "one trillion, eleven billion, one hundred million, one hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 241 300 482 723 964 1205 1446 2410 2892 3615 4820 6025 7230 12050 14460 18075 24100 36150 72300 13984787 27969574 41954361 55939148 69923935 83908722 139847870 167817444 209771805 279695740 349619675 419543610 699239350 839087220 1048859025 1398478700 2097718050 3370333667 4195436100 6740667334 10111001001 13481334668 16851668335 20222002002 33703336670 40444004004 50555005005 67406673340 84258341675 101110010010 168516683350 202220020020 252775025025 337033366700 505550050050 1011100100100