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1012136015100 = 2235272329224917
BaseRepresentation
bin11101011101010000000…
…00011111010011111100
310120202111111110212110210
432232220000133103330
5113040323304440400
62052545135232420
7133060450115160
oct16565000372374
93522444425423
101012136015100
11360276437741
121441aa378710
13745a0673972
1436db814cca0
151b4dbe02950
hexeba801f4fc

1012136015100 has 432 divisors, whose sum is σ = 3617031495168. Its totient is φ = 213647723520.

The previous prime is 1012136015089. The next prime is 1012136015167. The reversal of 1012136015100 is 15106312101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 40607842 + ... + 40632758.

Almost surely, 21012136015100 is an apocalyptic number.

1012136015100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012136015100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808515747584).

1012136015100 is an abundant number, since it is smaller than the sum of its proper divisors (2604895480068).

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

1012136015100 is a wasteful number, since it uses less digits than its factorization.

1012136015100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25022 (or 24986 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The spelling of 1012136015100 in words is "one trillion, twelve billion, one hundred thirty-six million, fifteen thousand, one hundred".