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133331112 = 23321851821
BaseRepresentation
bin1111111001001…
…11100010101000
3100021212220220100
413330213202220
5233113043422
621121425400
73206203305
oct774474250
9307786810
10133331112
1169297702
123879b260
1321813a65
14139ca0ac
15ba8a7ac
hex7f278a8

133331112 has 24 divisors (see below), whose sum is σ = 361105290. Its totient is φ = 44443680.

The previous prime is 133331083. The next prime is 133331129. The reversal of 133331112 is 211133331.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 107868996 + 25462116 = 10386^2 + 5046^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 925839 + ... + 925982.

Almost surely, 2133331112 is an apocalyptic number.

133331112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133331112 is an abundant number, since it is smaller than the sum of its proper divisors (227774178).

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

133331112 is a wasteful number, since it uses less digits than its factorization.

133331112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1851833 (or 1851826 counting only the distinct ones).

The product of its digits is 162, while the sum is 18.

The square root of 133331112 is about 11546.9091968370. The cubic root of 133331112 is about 510.8701178655.

Adding to 133331112 its reverse (211133331), we get a palindrome (344464443).

The spelling of 133331112 in words is "one hundred thirty-three million, three hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1851821 3703642 5555463 7407284 11110926 14814568 16666389 22221852 33332778 44443704 66665556 133331112