Search a number
-
+
132300000000000 = 2113351172
BaseRepresentation
bin11110000101001101111110…
…100000001111100000000000
3122100102202102110210011111000
4132011031332200033200000
5114320100400000000000
61145213440404052000
736603234222142200
oct3605157640174000
9570382373704430
10132300000000000
1139178129a45308
1212a08762394000
1358a8ab4948151
1424954d5b90400
15104665ec35000
hex78537e80f800

132300000000000 has 1728 divisors, whose sum is σ = 569860837509600. Its totient is φ = 30240000000000.

The previous prime is 132299999999953. The next prime is 132300000000011. The reversal of 132300000000000 is 3231.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18899999999997 + ... + 18900000000003.

Almost surely, 2132300000000000 is an apocalyptic number.

132300000000000 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 132300000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284930418754800).

132300000000000 is an abundant number, since it is smaller than the sum of its proper divisors (437560837509600).

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

132300000000000 is an frugal number, since it uses more digits than its factorization.

132300000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

Adding to 132300000000000 its reverse (3231), we get a palindrome (132300000003231).

The spelling of 132300000000000 in words is "one hundred thirty-two trillion, three hundred billion", and thus it is an aban number.