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132133112 = 2317267853
BaseRepresentation
bin1111110000000…
…11000011111000
3100012122001112222
413320003003320
5232311224422
621040023212
73163053506
oct770030370
9305561488
10132133112
1168649621
1238301b08
13214b4697
1413797676
15b900842
hex7e030f8

132133112 has 48 divisors (see below), whose sum is σ = 267421560. Its totient is φ = 61180416.

The previous prime is 132133103. The next prime is 132133147. The reversal of 132133112 is 211331231.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154478 + ... + 155330.

Almost surely, 2132133112 is an apocalyptic number.

It is an amenable number.

132133112 is an abundant number, since it is smaller than the sum of its proper divisors (135288448).

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

132133112 is a wasteful number, since it uses less digits than its factorization.

132133112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 939 counting only the distinct ones).

The product of its digits is 108, while the sum is 17.

The square root of 132133112 is about 11494.9167896075. The cubic root of 132133112 is about 509.3354306874.

Adding to 132133112 its reverse (211331231), we get a palindrome (343464343).

The spelling of 132133112 in words is "one hundred thirty-two million, one hundred thirty-three thousand, one hundred twelve".

Divisors: 1 2 4 8 17 34 67 68 134 136 268 289 536 578 853 1139 1156 1706 2278 2312 3412 4556 6824 9112 14501 19363 29002 38726 57151 58004 77452 114302 116008 154904 228604 246517 457208 493034 971567 986068 1943134 1972136 3886268 7772536 16516639 33033278 66066556 132133112