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132113020110000 = 2435423318900289
BaseRepresentation
bin11110000010011111110101…
…101000100100010010110000
3122022202212210112010121011220
4132002133311220210102300
5114304014431122010000
61144551514504105040
736553564540250436
oct3602376550442260
9568685715117156
10132113020110000
11391058a97444a6
121299847b165180
135894286c1c197
14248a438d90d56
1510418698861a0
hex7827f5a244b0

132113020110000 has 200 divisors, whose sum is σ = 428308846233840. Its totient is φ = 35078934528000.

The previous prime is 132113020109957. The next prime is 132113020110017. The reversal of 132113020110000 is 11020311231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2460145 + ... + 16440144.

Almost surely, 2132113020110000 is an apocalyptic number.

132113020110000 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 132113020110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214154423116920).

132113020110000 is an abundant number, since it is smaller than the sum of its proper divisors (296195826123840).

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

132113020110000 is a wasteful number, since it uses less digits than its factorization.

132113020110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18900553 (or 18900532 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 132113020110000 its reverse (11020311231), we get a palindrome (132124040421231).

The spelling of 132113020110000 in words is "one hundred thirty-two trillion, one hundred thirteen billion, twenty million, one hundred ten thousand".