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10135130121 = 321139965713
BaseRepresentation
bin10010111000001100…
…11101000000001001
3222011100000221210200
421130012131000021
5131224043130441
64353411002413
7506105120214
oct113406350011
928140027720
1010135130121
1143310202a6
121b6a299409
13c569b101c
146c209a77b
153e4ba17b6
hex25c19d009

10135130121 has 12 divisors (see below), whose sum is σ = 14769188148. Its totient is φ = 6696958464.

The previous prime is 10135130107. The next prime is 10135130147. The reversal of 10135130121 is 12103153101.

10135130121 is a `hidden beast` number, since 10 + 1 + 351 + 301 + 2 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3417688521 + 6717441600 = 58461^2 + 81960^2 .

It is not a de Polignac number, because 10135130121 - 27 = 10135129993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10135130094 and 10135130103.

It is not an unprimeable number, because it can be changed into a prime (10135130171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4981840 + ... + 4983873.

It is an arithmetic number, because the mean of its divisors is an integer number (1230765679).

Almost surely, 210135130121 is an apocalyptic number.

It is an amenable number.

10135130121 is a deficient number, since it is larger than the sum of its proper divisors (4634058027).

10135130121 is a wasteful number, since it uses less digits than its factorization.

10135130121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9965832 (or 9965829 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

Adding to 10135130121 its reverse (12103153101), we get a palindrome (22238283222).

The spelling of 10135130121 in words is "ten billion, one hundred thirty-five million, one hundred thirty thousand, one hundred twenty-one".

Divisors: 1 3 9 113 339 1017 9965713 29897139 89691417 1126125569 3378376707 10135130121