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135130212 = 223271731543
BaseRepresentation
bin10000000110111…
…10110001100100
3100102021022210200
420003132301210
5234043131322
621224150500
73230405430
oct1003366144
9312238720
10135130212
116a306368
1239308430
1321cc3909
1413d379c0
15bce38ac
hex80dec64

135130212 has 72 divisors (see below), whose sum is σ = 413352576. Its totient is φ = 36336384.

The previous prime is 135130201. The next prime is 135130249. The reversal of 135130212 is 212031531.

135130212 is a `hidden beast` number, since 1 + 351 + 302 + 12 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11488 + ... + 20055.

It is an arithmetic number, because the mean of its divisors is an integer number (5741008).

Almost surely, 2135130212 is an apocalyptic number.

135130212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135130212 is an abundant number, since it is smaller than the sum of its proper divisors (278222364).

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

135130212 is a wasteful number, since it uses less digits than its factorization.

135130212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31577 (or 31572 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 135130212 is about 11624.5521204045. The cubic root of 135130212 is about 513.1576638836.

Adding to 135130212 its reverse (212031531), we get a palindrome (347161743).

It can be divided in two parts, 13 and 5130212, that added together give a square (5130225 = 22652).

The spelling of 135130212 in words is "one hundred thirty-five million, one hundred thirty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 714 1071 1428 2142 4284 31543 63086 94629 126172 189258 220801 283887 378516 441602 536231 567774 662403 883204 1072462 1135548 1324806 1608693 1987209 2144924 2649612 3217386 3753617 3974418 4826079 6434772 7507234 7948836 9652158 11260851 15014468 19304316 22521702 33782553 45043404 67565106 135130212