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2122131420342 = 232689917088881
BaseRepresentation
bin11110111000011000111…
…000111011010010110110
321111212120222122211111200
4132320120320323102312
5234232111120422332
64302521013113330
7306214252306653
oct36703070732266
97455528584450
102122131420342
11748a9995461a
122a3349628846
131251681babbb
14749d6d00c2a
153a30515517c
hex1ee18e3b4b6

2122131420342 has 24 divisors (see below), whose sum is σ = 4598618146200. Its totient is φ = 707274565440.

The previous prime is 2122131420337. The next prime is 2122131420347. The reversal of 2122131420342 is 2430241312212.

2122131420342 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 1 + 314 + 2 + 0 + 342 = 666.

It is an interprime number because it is at equal distance from previous prime (2122131420337) and next prime (2122131420347).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122131420347) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 8420259 + ... + 8668622.

It is an arithmetic number, because the mean of its divisors is an integer number (191609089425).

Almost surely, 22122131420342 is an apocalyptic number.

2122131420342 is an abundant number, since it is smaller than the sum of its proper divisors (2476486725858).

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

2122131420342 is a wasteful number, since it uses less digits than its factorization.

2122131420342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17095788 (or 17095785 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2122131420342 its reverse (2430241312212), we get a palindrome (4552372732554).

The spelling of 2122131420342 in words is "two trillion, one hundred twenty-two billion, one hundred thirty-one million, four hundred twenty thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 6899 13798 20697 41394 62091 124182 17088881 34177762 51266643 102533286 153799929 307599858 117896190019 235792380038 353688570057 707377140114 1061065710171 2122131420342