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10120121130 = 2357173278561
BaseRepresentation
bin10010110110011010…
…01100101100101010
3222010021210102100010
421123031030230222
5131211222334010
64352113152350
7505533416220
oct113315145452
928107712303
1010120121130
1143235a9879
121b6525b6b6
13c53857572
146c00b0b10
153e36d9620
hex25b34cb2a

10120121130 has 64 divisors (see below), whose sum is σ = 27918597888. Its totient is φ = 2299791360.

The previous prime is 10120121113. The next prime is 10120121147. The reversal of 10120121130 is 3112102101.

10120121130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10120121113) and next prime (10120121147).

It is a Curzon number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 102951 + ... + 175610.

It is an arithmetic number, because the mean of its divisors is an integer number (436228092).

Almost surely, 210120121130 is an apocalyptic number.

10120121130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10120121130 is an abundant number, since it is smaller than the sum of its proper divisors (17798476758).

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

10120121130 is a wasteful number, since it uses less digits than its factorization.

10120121130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278751.

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

Adding to 10120121130 its reverse (3112102101), we get a palindrome (13232223231).

The spelling of 10120121130 in words is "ten billion, one hundred twenty million, one hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 173 210 346 519 865 1038 1211 1730 2422 2595 3633 5190 6055 7266 12110 18165 36330 278561 557122 835683 1392805 1671366 1949927 2785610 3899854 4178415 5849781 8356830 9749635 11699562 19499270 29248905 48191053 58497810 96382106 144573159 240955265 289146318 337337371 481910530 674674742 722865795 1012012113 1445731590 1686686855 2024024226 3373373710 5060060565 10120121130