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133312120 = 23513923977
BaseRepresentation
bin1111111001000…
…10111001111000
3100021211221211221
413330202321320
5233111441440
621121201424
73206064034
oct774427170
9307757757
10133312120
1169284407
1238790274
1321808216
14139c31c4
15ba84d4a
hex7f22e78

133312120 has 32 divisors (see below), whose sum is σ = 302122800. Its totient is φ = 52939008.

The previous prime is 133312103. The next prime is 133312129. The reversal of 133312120 is 21213331.

It is a junction number, because it is equal to n+sod(n) for n = 133312094 and 133312103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133312129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6429 + ... + 17548.

Almost surely, 2133312120 is an apocalyptic number.

133312120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133312120 is an abundant number, since it is smaller than the sum of its proper divisors (168810680).

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

133312120 is a wasteful number, since it uses less digits than its factorization.

133312120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24127 (or 24123 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 133312120 is about 11546.0867829754. The cubic root of 133312120 is about 510.8458601964.

Adding to 133312120 its reverse (21213331), we get a palindrome (154525451).

It can be divided in two parts, 13331 and 2120, that added together give a palindrome (15451).

The spelling of 133312120 in words is "one hundred thirty-three million, three hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 139 278 556 695 1112 1390 2780 5560 23977 47954 95908 119885 191816 239770 479540 959080 3332803 6665606 13331212 16664015 26662424 33328030 66656060 133312120