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132010033320 = 233251179421973
BaseRepresentation
bin111101011110001101…
…0010100000010101000
3110121202000011111222100
41322330122110002220
54130324032031240
6140351121053400
712352221524544
oct1727432240250
9417660144870
10132010033320
1150a922499a0
1221701a87260
13c5aa452969
146564416a24
153679558e30
hex1ebc6940a8

132010033320 has 192 divisors, whose sum is σ = 473961196800. Its totient is φ = 31597263360.

The previous prime is 132010033283. The next prime is 132010033349. The reversal of 132010033320 is 23330010231.

132010033320 is a `hidden beast` number, since 1 + 320 + 10 + 0 + 3 + 332 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 132010033293 and 132010033302.

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 47 ways as a sum of consecutive naturals, for example, 101854 + ... + 523826.

It is an arithmetic number, because the mean of its divisors is an integer number (2468547900).

Almost surely, 2132010033320 is an apocalyptic number.

132010033320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132010033320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236980598400).

132010033320 is an abundant number, since it is smaller than the sum of its proper divisors (341951163480).

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

132010033320 is a wasteful number, since it uses less digits than its factorization.

132010033320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422080 (or 422073 counting only the distinct ones).

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

Adding to 132010033320 its reverse (23330010231), we get a palindrome (155340043551).

The spelling of 132010033320 in words is "one hundred thirty-two billion, ten million, thirty-three thousand, three hundred twenty".