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31332132 = 22321366949
BaseRepresentation
bin111011110000…
…1011100100100
32011221211121100
41313201130210
531010112012
63035320100
7530214216
oct167413444
964854540
1031332132
1116760327
12a5b0030
136650430
1442385b6
152b3d8dc
hex1de1724

31332132 has 36 divisors (see below), whose sum is σ = 85294300. Its totient is φ = 9640512.

The previous prime is 31332109. The next prime is 31332149. The reversal of 31332132 is 23123313.

31332132 is a `hidden beast` number, since 313 + 321 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18198756 + 13133376 = 4266^2 + 3624^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 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, 33007 + ... + 33942.

Almost surely, 231332132 is an apocalyptic number.

It is an amenable number.

31332132 is an abundant number, since it is smaller than the sum of its proper divisors (53962168).

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

31332132 is a wasteful number, since it uses less digits than its factorization.

31332132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66972 (or 66967 counting only the distinct ones).

The product of its digits is 324, while the sum is 18.

The square root of 31332132 is about 5597.5112326819. The cubic root of 31332132 is about 315.2559673050.

Adding to 31332132 its reverse (23123313), we get a palindrome (54455445).

The spelling of 31332132 in words is "thirty-one million, three hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 66949 133898 200847 267796 401694 602541 803388 870337 1205082 1740674 2410164 2611011 3481348 5222022 7833033 10444044 15666066 31332132