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2122130312212 = 221731207798709
BaseRepresentation
bin11110111000011000110…
…100101100110000010100
321111212120220120112102211
4132320120310230300110
5234232110324442322
64302520533243204
7306214240013161
oct36703064546024
97455526515384
102122130312212
11748a99268009
122a3349193504
13125167bc06c1
14749d6ad3068
153a304ed6b77
hex1ee18d2cc14

2122130312212 has 12 divisors (see below), whose sum is σ = 3932182637460. Its totient is φ = 998649558656.

The previous prime is 2122130312207. The next prime is 2122130312231.

2122130312212 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 1156541081476 + 965589230736 = 1075426^2 + 982644^2 .

It is a super-3 number, since 3×21221303122123 (a number of 38 digits) contains 333 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 (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15603899287 + ... + 15603899422.

It is an arithmetic number, because the mean of its divisors is an integer number (327681886455).

Almost surely, 22122130312212 is an apocalyptic number.

It is an amenable number.

2122130312212 is a deficient number, since it is larger than the sum of its proper divisors (1810052325248).

2122130312212 is a wasteful number, since it uses less digits than its factorization.

2122130312212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31207798730 (or 31207798728 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Multiplying 2122130312212 by its sum of digits (22), we get a palindrome (46686866868664).

It can be divided in two parts, 2122130 and 312212, that added together give a palindrome (2434342).

The spelling of 2122130312212 in words is "two trillion, one hundred twenty-two billion, one hundred thirty million, three hundred twelve thousand, two hundred twelve".

Divisors: 1 2 4 17 34 68 31207798709 62415597418 124831194836 530532578053 1061065156106 2122130312212