Search a number
-
+
132120002410000 = 24541110360719211
BaseRepresentation
bin11110000010100110010101…
…110011111011011000010000
3122022210112211010120012010121
4132002212111303323120100
5114304123231104110000
61144555031411040024
736554232552650263
oct3602462563733020
9568715733505117
10132120002410000
1139108861aa9870
12129998a95a0014
135894b2a668847
14248a8dc420cda
151041b27855b1a
hex782995cfb610

132120002410000 has 400 divisors, whose sum is σ = 352942103973888. Its totient is φ = 47496340800000.

The previous prime is 132120002409979. The next prime is 132120002410021. The reversal of 132120002410000 is 14200021231.

It is an interprime number because it is at equal distance from previous prime (132120002409979) and next prime (132120002410021).

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (16).

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 79 ways as a sum of consecutive naturals, for example, 6877300395 + ... + 6877319605.

Almost surely, 2132120002410000 is an apocalyptic number.

132120002410000 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 132120002410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176471051986944).

132120002410000 is an abundant number, since it is smaller than the sum of its proper divisors (220822101563888).

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

132120002410000 is a wasteful number, since it uses less digits than its factorization.

132120002410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19960 (or 19939 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 132120002410000 its reverse (14200021231), we get a palindrome (132134202431231).

The spelling of 132120002410000 in words is "one hundred thirty-two trillion, one hundred twenty billion, two million, four hundred ten thousand".