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2121336321012 = 2232531111811489
BaseRepresentation
bin11110110111101001011…
…111110111001111110100
321111210112120112121021100
4132313221133313033310
5234223444044233022
64302310051250100
7306155456134056
oct36675137671764
97453476477240
102121336321012
11748721060737
122a31672a9930
1312506c56281c
147495d48d8d6
153a2aa44a1ac
hex1ede97f73f4

2121336321012 has 36 divisors (see below), whose sum is σ = 5463441661860. Its totient is φ = 693770368512.

The previous prime is 2121336320989. The next prime is 2121336321031. The reversal of 2121336321012 is 2101236331212.

2121336321012 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 3 + 3 + 632 + 10 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1357677057636 + 763659263376 = 1165194^2 + 873876^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×21213363210122 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 555903837 + ... + 555907652.

It is an arithmetic number, because the mean of its divisors is an integer number (151762268385).

Almost surely, 22121336321012 is an apocalyptic number.

It is an amenable number.

2121336321012 is an abundant number, since it is smaller than the sum of its proper divisors (3342105340848).

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

2121336321012 is a wasteful number, since it uses less digits than its factorization.

2121336321012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111811552 (or 1111811547 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 2121336321012 in words is "two trillion, one hundred twenty-one billion, three hundred thirty-six million, three hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 1111811489 2223622978 3335434467 4447245956 6670868934 10006303401 13341737868 20012606802 40025213604 58926008917 117852017834 176778026751 235704035668 353556053502 530334080253 707112107004 1060668160506 2121336321012