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10135015121 = 711206963617
BaseRepresentation
bin10010111000001100…
…00000111011010001
3222011022211010001102
421130012000323101
5131224030440441
64353404314145
7506104131020
oct113406007321
928138733042
1010135015121
114330a51960
121b6a242955
13c5697088a
146c206a8b7
153e4b7c69b
hex25c180ed1

10135015121 has 16 divisors (see below), whose sum is σ = 12642168960. Its totient is φ = 7893473280.

The previous prime is 10135015109. The next prime is 10135015183. The reversal of 10135015121 is 12151053101.

It is a happy number.

10135015121 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10135015121 - 26 = 10135015057 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10135015093 and 10135015102.

It is not an unprimeable number, because it can be changed into a prime (10135015921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127505 + ... + 191121.

It is an arithmetic number, because the mean of its divisors is an integer number (790135560).

Almost surely, 210135015121 is an apocalyptic number.

10135015121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10135015121 is a deficient number, since it is larger than the sum of its proper divisors (2507153839).

10135015121 is a wasteful number, since it uses less digits than its factorization.

10135015121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65704.

The product of its (nonzero) digits is 150, while the sum is 20.

Adding to 10135015121 its reverse (12151053101), we get a palindrome (22286068222).

The spelling of 10135015121 in words is "ten billion, one hundred thirty-five million, fifteen thousand, one hundred twenty-one".

Divisors: 1 7 11 77 2069 14483 22759 63617 159313 445319 699787 4898509 131623573 921365011 1447859303 10135015121