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133312212 = 223211437829
BaseRepresentation
bin1111111001000…
…10111011010100
3100021211221222100
413330202323110
5233111442322
621121202100
73206064225
oct774427324
9307757870
10133312212
1169284490
1238790330
1321808287
14139c324c
15ba84dac
hex7f22ed4

133312212 has 72 divisors (see below), whose sum is σ = 376215840. Its totient is φ = 39453120.

The previous prime is 133312199. The next prime is 133312213. The reversal of 133312212 is 212213331.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133312213) 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, 13114 + ... + 20942.

It is an arithmetic number, because the mean of its divisors is an integer number (5225220).

Almost surely, 2133312212 is an apocalyptic number.

133312212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133312212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188107920).

133312212 is an abundant number, since it is smaller than the sum of its proper divisors (242903628).

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

133312212 is a wasteful number, since it uses less digits than its factorization.

133312212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7893 (or 7888 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 133312212 is about 11546.0907670085. The cubic root of 133312212 is about 510.8459777096.

Adding to 133312212 its reverse (212213331), we get a palindrome (345525543).

The spelling of 133312212 in words is "one hundred thirty-three million, three hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 43 44 66 86 99 129 132 172 198 258 387 396 473 516 774 946 1419 1548 1892 2838 4257 5676 7829 8514 15658 17028 23487 31316 46974 70461 86119 93948 140922 172238 258357 281844 336647 344476 516714 673294 775071 1009941 1033428 1346588 1550142 2019882 3029823 3100284 3703117 4039764 6059646 7406234 11109351 12119292 14812468 22218702 33328053 44437404 66656106 133312212