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2132113102020 = 2232511113139179383
BaseRepresentation
bin11111000001101011110…
…110000001010011000100
321112211100121221210121200
4133001223312001103010
5234413031423231040
64311251303142500
7310016515225506
oct37015366012304
97484317853550
102132113102020
11752251297820
122a5274444a30
13126099163515
14752a2855d76
153a6db5e5630
hex1f06bd814c4

2132113102020 has 576 divisors, whose sum is σ = 7227872870400. Its totient is φ = 504454164480.

The previous prime is 2132113101967. The next prime is 2132113102061. The reversal of 2132113102020 is 202013112312.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2132113101984 and 2132113102002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5566874749 + ... + 5566875131.

It is an arithmetic number, because the mean of its divisors is an integer number (12548390400).

Almost surely, 22132113102020 is an apocalyptic number.

2132113102020 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 2132113102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3613936435200).

2132113102020 is an abundant number, since it is smaller than the sum of its proper divisors (5095759768380).

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

2132113102020 is a wasteful number, since it uses less digits than its factorization.

2132113102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2132113102020 its reverse (202013112312), we get a palindrome (2334126214332).

The spelling of 2132113102020 in words is "two trillion, one hundred thirty-two billion, one hundred thirteen million, one hundred two thousand, twenty".