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133213014 = 232112311973
BaseRepresentation
bin1111111000010…
…10101101010110
3100021122220220100
413330022231112
5233100304024
621115114530
73205202064
oct774125526
9307586810
10133213014
1169216a00
1238742a46
13217a208c
1413999034
15ba657c9
hex7f0ab56

133213014 has 72 divisors (see below), whose sum is σ = 327652416. Its totient is φ = 39045600.

The previous prime is 133212949. The next prime is 133213043. The reversal of 133213014 is 410312331.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 66532 + ... + 68504.

It is an arithmetic number, because the mean of its divisors is an integer number (4550728).

Almost surely, 2133213014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133213014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163826208).

133213014 is an abundant number, since it is smaller than the sum of its proper divisors (194439402).

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

133213014 is a wasteful number, since it uses less digits than its factorization.

133213014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2034 (or 2020 counting only the distinct ones).

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

The square root of 133213014 is about 11541.7942279353. The cubic root of 133213014 is about 510.7192389489.

Adding to 133213014 its reverse (410312331), we get a palindrome (543525345).

The spelling of 133213014 in words is "one hundred thirty-three million, two hundred thirteen thousand, fourteen".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 121 186 198 242 279 341 363 558 682 726 1023 1089 1973 2046 2178 3069 3751 3946 5919 6138 7502 11253 11838 17757 21703 22506 33759 35514 43406 61163 65109 67518 122326 130218 183489 195327 238733 366978 390654 477466 550467 672793 716199 1100934 1345586 1432398 2018379 2148597 4036758 4297194 6055137 7400723 12110274 14801446 22202169 44404338 66606507 133213014