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132113123010300 = 2235219197961312239
BaseRepresentation
bin11110000010011111111011…
…110001000110011011111100
3122022202220001200202110212010
4132002133323301012123330
5114304020133442312200
61144551533021411220
736553600230012345
oct3602377361063374
9568686050673763
10132113123010300
1139105951836a73
12129984a9709b10
1358942a2339b33
14248a4488d90cc
151041873910150
hex7827fbc466fc

132113123010300 has 288 divisors, whose sum is σ = 404483161420800. Its totient is φ = 33200358589440.

The previous prime is 132113123010217. The next prime is 132113123010307. The reversal of 132113123010300 is 3010321311231.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132113123010307) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10794431581 + ... + 10794443819.

It is an arithmetic number, because the mean of its divisors is an integer number (1404455421600).

Almost surely, 2132113123010300 is an apocalyptic number.

132113123010300 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 132113123010300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202241580710400).

132113123010300 is an abundant number, since it is smaller than the sum of its proper divisors (272370038410500).

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

132113123010300 is a wasteful number, since it uses less digits than its factorization.

132113123010300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22085 (or 22078 counting only the distinct ones).

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

Adding to 132113123010300 its reverse (3010321311231), we get a palindrome (135123444321531).

The spelling of 132113123010300 in words is "one hundred thirty-two trillion, one hundred thirteen billion, one hundred twenty-three million, ten thousand, three hundred".