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10012120011 = 321301855079
BaseRepresentation
bin10010101001100010…
…01101001111001011
3221211202120101122200
421110301031033023
5131001100320021
64333254251243
7503052421155
oct112461151713
927752511580
1010012120011
114278642a53
121b35056b23
13c37371c8a
146ad9d9ad5
153d8ea4126
hex254c4d3cb

10012120011 has 12 divisors (see below), whose sum is σ = 14473084080. Its totient is φ = 6669608400.

The previous prime is 10012119989. The next prime is 10012120021. The reversal of 10012120011 is 11002121001.

It is a happy number.

10012120011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10012120011 - 25 = 10012119979 is a prime.

It is a super-2 number, since 2×100121200112 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10012119975 and 10012120002.

It is not an unprimeable number, because it can be changed into a prime (10012120021) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 415831 + ... + 439248.

It is an arithmetic number, because the mean of its divisors is an integer number (1206090340).

Almost surely, 210012120011 is an apocalyptic number.

10012120011 is a deficient number, since it is larger than the sum of its proper divisors (4460964069).

10012120011 is a wasteful number, since it uses less digits than its factorization.

10012120011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856386 (or 856383 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10012120011 its reverse (11002121001), we get a palindrome (21014241012).

The spelling of 10012120011 in words is "ten billion, twelve million, one hundred twenty thousand, eleven".

Divisors: 1 3 9 1301 3903 11709 855079 2565237 7695711 1112457779 3337373337 10012120011