Search a number
-
+
135012312 = 2333625057
BaseRepresentation
bin10000000110000…
…01111111011000
3100102001100002000
420003001333120
5234030343222
621221441000
73226404621
oct1003017730
9312040060
10135012312
116a235826
1239270160
1321c82056
1413d06a48
15bcbd9ac
hex80c1fd8

135012312 has 32 divisors (see below), whose sum is σ = 375034800. Its totient is φ = 45004032.

The previous prime is 135012301. The next prime is 135012329. The reversal of 135012312 is 213210531.

135012312 is a `hidden beast` number, since 1 + 350 + 1 + 2 + 312 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 312313 + ... + 312744.

Almost surely, 2135012312 is an apocalyptic number.

135012312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135012312 is an abundant number, since it is smaller than the sum of its proper divisors (240022488).

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

135012312 is a wasteful number, since it uses less digits than its factorization.

135012312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625072 (or 625062 counting only the distinct ones).

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

The square root of 135012312 is about 11619.4798506646. The cubic root of 135012312 is about 513.0083785096.

Adding to 135012312 its reverse (213210531), we get a palindrome (348222843).

The spelling of 135012312 in words is "one hundred thirty-five million, twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 625057 1250114 1875171 2500228 3750342 5000456 5625513 7500684 11251026 15001368 16876539 22502052 33753078 45004104 67506156 135012312