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132021102311100 = 223252374918074537
BaseRepresentation
bin11110000001001010001110…
…111001111111011010111100
3122022110002112121120121112200
4132001022032321333122330
5114301013204142423400
61144441353534431500
736544131662663442
oct3601121671773274
9568402477517480
10132021102311100
113907a920520742
12129826a8062590
1358886c89a3a72
142485bd94b4b92
15103e289e82b00
hex78128ee7f6bc

132021102311100 has 216 divisors, whose sum is σ = 425862567665808. Its totient is φ = 34184355609600.

The previous prime is 132021102311089. The next prime is 132021102311113. The reversal of 132021102311100 is 1113201120231.

132021102311100 is a `hidden beast` number, since 1 + 320 + 2 + 1 + 1 + 0 + 231 + 110 + 0 = 666.

It is a super-2 number, since 2×1320211023111002 (a number of 29 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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12313032 + ... + 20387568.

Almost surely, 2132021102311100 is an apocalyptic number.

132021102311100 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 132021102311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212931283832904).

132021102311100 is an abundant number, since it is smaller than the sum of its proper divisors (293841465354708).

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

132021102311100 is a wasteful number, since it uses less digits than its factorization.

132021102311100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8075085 (or 8075075 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 132021102311100 its reverse (1113201120231), we get a palindrome (133134303431331).

The spelling of 132021102311100 in words is "one hundred thirty-two trillion, twenty-one billion, one hundred two million, three hundred eleven thousand, one hundred".