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133311330 = 232511231319
BaseRepresentation
bin1111111001000…
…10101101100010
3100021211220202200
413330202231202
5233111430310
621121154030
73206061525
oct774425542
9307756680
10133311330
1169283859
123878b916
1321807a59
14139c2bbc
15ba849c0
hex7f22b62

133311330 has 48 divisors (see below), whose sum is σ = 347181120. Its totient is φ = 35491104.

The previous prime is 133311329. The next prime is 133311337. The reversal of 133311330 is 33113331.

133311330 is a `hidden beast` number, since 1 + 3 + 331 + 1 + 330 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (133311337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100411 + ... + 101729.

It is an arithmetic number, because the mean of its divisors is an integer number (7232940).

Almost surely, 2133311330 is an apocalyptic number.

133311330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133311330 is an abundant number, since it is smaller than the sum of its proper divisors (213869790).

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

133311330 is a wasteful number, since it uses less digits than its factorization.

133311330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2455 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

The square root of 133311330 is about 11546.0525721997. The cubic root of 133311330 is about 510.8448511132.

Adding to 133311330 its reverse (33113331), we get a palindrome (166424661).

The spelling of 133311330 in words is "one hundred thirty-three million, three hundred eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1123 1319 2246 2638 3369 3957 5615 6595 6738 7914 10107 11230 11871 13190 16845 19785 20214 23742 33690 39570 50535 59355 101070 118710 1481237 2962474 4443711 7406185 8887422 13331133 14812370 22218555 26662266 44437110 66655665 133311330