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132022130000100 = 2235219233132484961
BaseRepresentation
bin11110000001001011001100…
…001010010100000011100100
3122022110012012020100121211020
4132001023030022110003210
5114301022310240000400
61144442043525411140
736544166312126334
oct3601131412240344
9568405166317736
10132022130000100
11390802a863669a
1212982934269ab0
135888830887072
142485c95b8d0c4
15103e2ea2d32a0
hex7812cc2940e4

132022130000100 has 288 divisors, whose sum is σ = 433105106165760. Its totient is φ = 30873705984000.

The previous prime is 132022130000087. The next prime is 132022130000149. The reversal of 132022130000100 is 1000031220231.

132022130000100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 132022130000100.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12178381 + ... + 20306580.

Almost surely, 2132022130000100 is an apocalyptic number.

132022130000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132022130000100 is an abundant number, since it is smaller than the sum of its proper divisors (301082976165660).

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

132022130000100 is a wasteful number, since it uses less digits than its factorization.

132022130000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32485051 (or 32485044 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 132022130000100 its reverse (1000031220231), we get a palindrome (133022161220331).

The spelling of 132022130000100 in words is "one hundred thirty-two trillion, twenty-two billion, one hundred thirty million, one hundred", and thus it is an aban number.