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132202031232 = 2731186329021
BaseRepresentation
bin111101100011111011…
…0101110100010000000
3110122020101110000121010
41323013312232202000
54131222204444412
6140422140200520
712360042503325
oct1730766564200
9418211400533
10132202031232
1151080666857
1221756239140
13c60b1678ab
146581b14b4c
15368b33233c
hex1ec7dae880

132202031232 has 64 divisors (see below), whose sum is σ = 351203348160. Its totient is φ = 44062110720.

The previous prime is 132202031219. The next prime is 132202031239. The reversal of 132202031232 is 232130202231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 132202031199 and 132202031208.

It is not an unprimeable number, because it can be changed into a prime (132202031239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4540882 + ... + 4569902.

It is an arithmetic number, because the mean of its divisors is an integer number (5487552315).

Almost surely, 2132202031232 is an apocalyptic number.

132202031232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132202031232 is an abundant number, since it is smaller than the sum of its proper divisors (219001316928).

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

132202031232 is a wasteful number, since it uses less digits than its factorization.

132202031232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40901 (or 40889 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 132202031232 its reverse (232130202231), we get a palindrome (364332233463).

The spelling of 132202031232 in words is "one hundred thirty-two billion, two hundred two million, thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 11863 23726 29021 35589 47452 58042 71178 87063 94904 116084 142356 174126 189808 232168 284712 348252 379616 464336 569424 696504 759232 928672 1138848 1393008 1518464 1857344 2277696 2786016 3714688 4555392 5572032 11144064 344276123 688552246 1032828369 1377104492 2065656738 2754208984 4131313476 5508417968 8262626952 11016835936 16525253904 22033671872 33050507808 44067343744 66101015616 132202031232