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132330110310000 = 2432542775308067
BaseRepresentation
bin11110000101101010000001…
…001101111101011001110000
3122100112122010220122101201200
4132011222001031331121300
5114321044031214410000
61145235340300331200
736605351331433431
oct3605520115753160
9570478126571650
10132330110310000
1139189980481929
1212a12566243b00
1358ab8a2b23725
142496b50b11488
15104732339d500
hex785a8137d670

132330110310000 has 300 divisors, whose sum is σ = 464448274533672. Its totient is φ = 35160629184000.

The previous prime is 132330110309983. The next prime is 132330110310007. The reversal of 132330110310000 is 13011033231.

It is a happy number.

132330110310000 is a `hidden beast` number, since 1 + 323 + 30 + 1 + 1 + 0 + 310 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×1323301103100002 (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 not an unprimeable number, because it can be changed into a prime (132330110310007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 22275967 + ... + 27584033.

Almost surely, 2132330110310000 is an apocalyptic number.

132330110310000 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 132330110310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232224137266836).

132330110310000 is an abundant number, since it is smaller than the sum of its proper divisors (332118164223672).

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

132330110310000 is a wasteful number, since it uses less digits than its factorization.

132330110310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5308378 (or 5308354 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 132330110310000 its reverse (13011033231), we get a palindrome (132343121343231).

The spelling of 132330110310000 in words is "one hundred thirty-two trillion, three hundred thirty billion, one hundred ten million, three hundred ten thousand".