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2130132101120 = 2115436917001
BaseRepresentation
bin11110111111110101110…
…001000110100000000000
321112122020120100112020222
4132333311301012200000
5234400002304213440
64310322535322212
7306616442053622
oct36776561064000
97478216315228
102130132101120
117514250474a1
122a4a00b20368
13125b4190bb3a
1475155704c12
153a6227372b5
hex1eff5c46800

2130132101120 has 192 divisors, whose sum is σ = 5238247734720. Its totient is φ = 830914560000.

The previous prime is 2130132101099. The next prime is 2130132101129. The reversal of 2130132101120 is 211012310312.

It is not an unprimeable number, because it can be changed into a prime (2130132101129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 304257620 + ... + 304264620.

It is an arithmetic number, because the mean of its divisors is an integer number (27282540285).

Almost surely, 22130132101120 is an apocalyptic number.

2130132101120 is a gapful number since it is divisible by the number (20) 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 2130132101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2619123867360).

2130132101120 is an abundant number, since it is smaller than the sum of its proper divisors (3108115633600).

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

2130132101120 is an equidigital number, since it uses as much as digits as its factorization.

2130132101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7762 (or 7742 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 2130132101120 its reverse (211012310312), we get a palindrome (2341144411432).

The spelling of 2130132101120 in words is "two trillion, one hundred thirty billion, one hundred thirty-two million, one hundred one thousand, one hundred twenty".