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10132113000 = 233533377371
BaseRepresentation
bin10010110111110101…
…11100011001101000
3222011010100200002110
421123322330121220
5131222310104000
64353222202320
7506040353022
oct113372743150
928133320073
1010132113000
11432a34a509
121b692833a0
13c56195949
146c1913012
153e47a7850
hex25bebc668

10132113000 has 64 divisors (see below), whose sum is σ = 31612201920. Its totient is φ = 2701896000.

The previous prime is 10132112953. The next prime is 10132113001. The reversal of 10132113000 is 31123101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10132113001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1685686 + ... + 1691685.

It is an arithmetic number, because the mean of its divisors is an integer number (493940655).

Almost surely, 210132113000 is an apocalyptic number.

10132113000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10132113000 is an abundant number, since it is smaller than the sum of its proper divisors (21480088920).

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

10132113000 is a wasteful number, since it uses less digits than its factorization.

10132113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3377395 (or 3377381 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10132113000 its reverse (31123101), we get a palindrome (10163236101).

The spelling of 10132113000 in words is "ten billion, one hundred thirty-two million, one hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 3377371 6754742 10132113 13509484 16886855 20264226 27018968 33773710 40528452 50660565 67547420 81056904 84434275 101321130 135094840 168868550 202642260 253302825 337737100 405284520 422171375 506605650 675474200 844342750 1013211300 1266514125 1688685500 2026422600 2533028250 3377371000 5066056500 10132113000