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1012112100103 = 13557139775183
BaseRepresentation
bin11101011101001101001…
…01010000101100000111
310120202102211110212021011
432232212211100230013
5113040301144200403
62052542522503051
7133060036622146
oct16564645205407
93522384425234
101012112100103
11360263992a85
121441a2364a87
137459871c590
1436db4cc575d
151b4d9c7ba6d
hexeba6950b07

1012112100103 has 8 divisors (see below), whose sum is σ = 1091923737408. Its totient is φ = 932580014304.

The previous prime is 1012112100089. The next prime is 1012112100127. The reversal of 1012112100103 is 3010012112101.

It is a happy number.

1012112100103 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1012112100103 - 29 = 1012112099591 is a prime.

It is a super-2 number, since 2×10121121001032 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012112100193) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69880351 + ... + 69894832.

It is an arithmetic number, because the mean of its divisors is an integer number (136490467176).

Almost surely, 21012112100103 is an apocalyptic number.

1012112100103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1012112100103 is a deficient number, since it is larger than the sum of its proper divisors (79811637305).

1012112100103 is a wasteful number, since it uses less digits than its factorization.

1012112100103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139775753.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 1012112100103 its reverse (3010012112101), we get a palindrome (4022124212204).

The spelling of 1012112100103 in words is "one trillion, twelve billion, one hundred twelve million, one hundred thousand, one hundred three".

Divisors: 1 13 557 7241 139775183 1817077379 77854776931 1012112100103