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1092010000100 = 225210920100001
BaseRepresentation
bin11111110010000001101…
…11100011111011100100
310212101200001110201101112
433321000313203323210
5120342414030000400
62153355032044152
7141616011564125
oct17710067437344
93771601421345
101092010000100
113911341a3898
1215777bb33658
137bc8c656a96
143abd428404c
151d6142cd835
hexfe40de3ee4

1092010000100 has 18 divisors (see below), whose sum is σ = 2369661700434. Its totient is φ = 436804000000.

The previous prime is 1092010000097. The next prime is 1092010000121. The reversal of 1092010000100 is 10000102901.

It can be written as a sum of positive squares in 3 ways, for example, as 187487268004 + 904522732096 = 432998^2 + 951064^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5460049901 + ... + 5460050100.

Almost surely, 21092010000100 is an apocalyptic number.

1092010000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1092010000100 is an abundant number, since it is smaller than the sum of its proper divisors (1277651700334).

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

1092010000100 is a wasteful number, since it uses less digits than its factorization.

1092010000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10920100015 (or 10920100008 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

The spelling of 1092010000100 in words is "one trillion, ninety-two billion, ten million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 10920100001 21840200002 43680400004 54600500005 109201000010 218402000020 273002500025 546005000050 1092010000100