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133112512 = 2613231397
BaseRepresentation
bin1111110111100…
…10001011000000
3100021110211001001
413323302023000
5233034100022
621113021344
73204303061
oct773621300
9307424031
10133112512
1169158445
12386b4854
1321768400
1413970568
15ba45b27
hex7ef22c0

133112512 has 84 divisors (see below), whose sum is σ = 295997376. Its totient is φ = 59304960.

The previous prime is 133112503. The next prime is 133112513. The reversal of 133112512 is 215211331.

It is a self number, because there is not a number n which added to its sum of digits gives 133112512.

It is not an unprimeable number, because it can be changed into a prime (133112513) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 335098 + ... + 335494.

Almost surely, 2133112512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133112512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147998688).

133112512 is an abundant number, since it is smaller than the sum of its proper divisors (162884864).

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

133112512 is a wasteful number, since it uses less digits than its factorization.

133112512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 443 counting only the distinct ones).

The product of its digits is 180, while the sum is 19.

The square root of 133112512 is about 11537.4395773066. The cubic root of 133112512 is about 510.5907699728.

Adding to 133112512 its reverse (215211331), we get a palindrome (348323843).

The spelling of 133112512 in words is "one hundred thirty-three million, one hundred twelve thousand, five hundred twelve".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 169 208 248 338 397 403 416 496 676 794 806 832 992 1352 1588 1612 1984 2704 3176 3224 5161 5239 5408 6352 6448 10322 10478 10816 12307 12704 12896 20644 20956 24614 25408 25792 41288 41912 49228 67093 82576 83824 98456 134186 159991 165152 167648 196912 268372 319982 330304 335296 393824 536744 639964 787648 1073488 1279928 2079883 2146976 2559856 4159766 4293952 5119712 8319532 10239424 16639064 33278128 66556256 133112512