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132423545132130 = 2357172812469769
BaseRepresentation
bin11110000111000001000010…
…010111100001010001100010
3122100212120022112202011000110
4132013001002113201101202
5114324111410023212010
61145350311541032150
736615166616345610
oct3607010227412142
9570776275664013
10132423545132130
1139215567a5269a
1212a286a13b5656
1358b7643441625
14249b495c826b0
151049991060120
hex7870425e1462

132423545132130 has 192 divisors, whose sum is σ = 385959003252480. Its totient is φ = 28386313912320.

The previous prime is 132423545132069. The next prime is 132423545132171. The reversal of 132423545132130 is 31231545324231.

It is a happy number.

132423545132130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1324235451321302 (a number of 29 digits) contains 22 as substring.

It is a Curzon 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 95 ways as a sum of consecutive naturals, for example, 281655886 + ... + 282125654.

It is an arithmetic number, because the mean of its divisors is an integer number (2010203141940).

Almost surely, 2132423545132130 is an apocalyptic number.

132423545132130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132423545132130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192979501626240).

132423545132130 is an abundant number, since it is smaller than the sum of its proper divisors (253535458120350).

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

132423545132130 is a wasteful number, since it uses less digits than its factorization.

132423545132130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470365 (or 470084 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

The spelling of 132423545132130 in words is "one hundred thirty-two trillion, four hundred twenty-three billion, five hundred forty-five million, one hundred thirty-two thousand, one hundred thirty".