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132111332031000 = 23353750647124213
BaseRepresentation
bin11110000010011110010001…
…000001000011101000011000
3122022202201102212201022010110
4132002132101001003220120
5114304003001444443000
61144551035202444320
736553504651645350
oct3602362101035030
9568681385638113
10132111332031000
1139105112883793
12129980899636a0
13589407828797a
14248a318acdb60
1510417bb589850
hex782791043a18

132111332031000 has 256 divisors, whose sum is σ = 471084357519360. Its totient is φ = 30196036569600.

The previous prime is 132111332030957. The next prime is 132111332031071. The reversal of 132111332031000 is 130233111231.

It is a happy number.

It is a super-2 number, since 2×1321113320310002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1063524894 + ... + 1063649106.

It is an arithmetic number, because the mean of its divisors is an integer number (1840173271560).

Almost surely, 2132111332031000 is an apocalyptic number.

132111332031000 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 132111332031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235542178759680).

132111332031000 is an abundant number, since it is smaller than the sum of its proper divisors (338973025488360).

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

132111332031000 is a wasteful number, since it uses less digits than its factorization.

132111332031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174891 (or 174877 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 132111332031000 its reverse (130233111231), we get a palindrome (132241565142231).

The spelling of 132111332031000 in words is "one hundred thirty-two trillion, one hundred eleven billion, three hundred thirty-two million, thirty-one thousand".