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133002132 = 22397163701
BaseRepresentation
bin1111110110101…
…11001110010100
3100021021012121220
413323113032110
5233022032012
621110410340
73203333214
oct773271624
9307235556
10133002132
116909251a
12386609b0
132172a0b3
1413942244
15ba2308c
hex7ed7394

133002132 has 48 divisors (see below), whose sum is σ = 315911232. Its totient is φ = 43545600.

The previous prime is 133002119. The next prime is 133002157. The reversal of 133002132 is 231200331.

133002132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189382 + ... + 190082.

It is an arithmetic number, because the mean of its divisors is an integer number (6581484).

Almost surely, 2133002132 is an apocalyptic number.

133002132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133002132 is an abundant number, since it is smaller than the sum of its proper divisors (182909100).

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

133002132 is a wasteful number, since it uses less digits than its factorization.

133002132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 133002132 is about 11532.6550282231. The cubic root of 133002132 is about 510.4495996862.

Adding to 133002132 its reverse (231200331), we get a palindrome (364202463).

The spelling of 133002132 in words is "one hundred thirty-three million, two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 97 163 194 291 326 388 489 582 652 701 978 1164 1402 1956 2103 2804 4206 8412 15811 31622 47433 63244 67997 94866 114263 135994 189732 203991 228526 271988 342789 407982 457052 685578 815964 1371156 11083511 22167022 33250533 44334044 66501066 133002132