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10132142130 = 23251110234487
BaseRepresentation
bin10010110111110110…
…00011100000110010
3222011010102011001100
421123323003200302
5131222312022010
64353222545230
7506040533655
oct113373034062
928133364040
1010132142130
11432a36a390
121b69298216
13c561a5c96
146c191d89c
153e47b12c0
hex25bec3832

10132142130 has 48 divisors (see below), whose sum is σ = 28738442304. Its totient is φ = 2456276640.

The previous prime is 10132142107. The next prime is 10132142147. The reversal of 10132142130 is 3124123101.

10132142130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 5116254 + ... + 5118233.

It is an arithmetic number, because the mean of its divisors is an integer number (598717548).

Almost surely, 210132142130 is an apocalyptic number.

10132142130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10132142130 is an abundant number, since it is smaller than the sum of its proper divisors (18606300174).

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

10132142130 is a wasteful number, since it uses less digits than its factorization.

10132142130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10234511 (or 10234508 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10132142130 its reverse (3124123101), we get a palindrome (13256265231).

The spelling of 10132142130 in words is "ten billion, one hundred thirty-two million, one hundred forty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 10234487 20468974 30703461 51172435 61406922 92110383 102344870 112579357 153517305 184220766 225158714 307034610 337738071 460551915 562896785 675476142 921103830 1013214213 1125793570 1688690355 2026428426 3377380710 5066071065 10132142130