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135112100 = 22521351121
BaseRepresentation
bin10000000110110…
…10010110100100
3100102020101221212
420003122112210
5234042041400
621223530552
73230301554
oct1003322644
9312211855
10135112100
116a2a37a2
12392b9a58
1321cb85b6
1413d31164
15bcdd335
hex80da5a4

135112100 has 18 divisors (see below), whose sum is σ = 293193474. Its totient is φ = 54044800.

The previous prime is 135112099. The next prime is 135112111. The reversal of 135112100 is 1211531.

135112100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 17909824 + 117202276 = 4232^2 + 10826^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 675461 + ... + 675660.

Almost surely, 2135112100 is an apocalyptic number.

135112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135112100 is an abundant number, since it is smaller than the sum of its proper divisors (158081374).

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

135112100 is a wasteful number, since it uses less digits than its factorization.

135112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351135 (or 1351128 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

The square root of 135112100 is about 11623.7730535313. The cubic root of 135112100 is about 513.1347360553.

Adding to 135112100 its reverse (1211531), we get a palindrome (136323631).

The spelling of 135112100 in words is "one hundred thirty-five million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1351121 2702242 5404484 6755605 13511210 27022420 33778025 67556050 135112100