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132130342144020 = 2235113120273185981
BaseRepresentation
bin11110000010101111111110…
…000110111000100000010100
3122022211112111201121002201110
4132002233332012320200110
5114304310420042102040
61145003501411255020
736555050024151363
oct3602577606704024
9568745451532643
10132130342144020
1139112188566aa0
121299b8b42aa470
135895ab785655c
14248b1dd73b7da
151042030470980
hex782bfe1b8814

132130342144020 has 192 divisors, whose sum is σ = 416823095549952. Its totient is φ = 30983018304000.

The previous prime is 132130342144013. The next prime is 132130342144057. The reversal of 132130342144020 is 20441243031231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 39879430 + ... + 43065410.

It is an arithmetic number, because the mean of its divisors is an integer number (2170953622656).

Almost surely, 2132130342144020 is an apocalyptic number.

132130342144020 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 132130342144020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208411547774976).

132130342144020 is an abundant number, since it is smaller than the sum of its proper divisors (284692753405932).

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

132130342144020 is a wasteful number, since it uses less digits than its factorization.

132130342144020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3188062 (or 3188060 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 132130342144020 its reverse (20441243031231), we get a palindrome (152571585175251).

The spelling of 132130342144020 in words is "one hundred thirty-two trillion, one hundred thirty billion, three hundred forty-two million, one hundred forty-four thousand, twenty".