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132232131000 = 233253138110639
BaseRepresentation
bin111101100100110100…
…1100011000110111000
3110122022111002020201100
41323021221203012320
54131302411143000
6140425133251400
712360556365624
oct1731151430670
9418274066640
10132232131000
11510966551a2
1221764333b60
13c6144760c8
146585b0c184
15368dccaa00
hex1ec9a631b8

132232131000 has 192 divisors, whose sum is σ = 447310281600. Its totient is φ = 35233056000.

The previous prime is 132232130977. The next prime is 132232131019. The reversal of 132232131000 is 131232231.

132232131000 is a `hidden beast` number, since 1 + 32 + 2 + 321 + 310 + 0 + 0 = 666.

It is a super-2 number, since 2×1322321310002 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 12423681 + ... + 12434319.

It is an arithmetic number, because the mean of its divisors is an integer number (2329741050).

Almost surely, 2132232131000 is an apocalyptic number.

132232131000 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 132232131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223655140800).

132232131000 is an abundant number, since it is smaller than the sum of its proper divisors (315078150600).

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

132232131000 is a wasteful number, since it uses less digits than its factorization.

132232131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12047 (or 12030 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 132232131000 its reverse (131232231), we get a palindrome (132363363231).

The spelling of 132232131000 in words is "one hundred thirty-two billion, two hundred thirty-two million, one hundred thirty-one thousand".