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212130130121 = 7213809411637
BaseRepresentation
bin1100010110001111110…
…0001110100011001001
3202021112201021010210222
43011203330032203021
511433420303130441
6241241244515425
721216532232600
oct3054374164311
9667481233728
10212130130121
1181a66a23528
1235141b4bb75
1317008416770
14a3a50d4a37
1557b834bd4b
hex3163f0e8c9

212130130121 has 24 divisors (see below), whose sum is σ = 266074570440. Its totient is φ = 167631351552.

The previous prime is 212130130111. The next prime is 212130130139. The reversal of 212130130121 is 121031031212.

212130130121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 493328521 + 211636801600 = 22211^2 + 460040^2 .

It is a de Polignac number, because none of the positive numbers 2k-212130130121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212130130121.

It is not an unprimeable number, because it can be changed into a prime (212130130111) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 309515 + ... + 721151.

It is an arithmetic number, because the mean of its divisors is an integer number (11086440435).

Almost surely, 2212130130121 is an apocalyptic number.

It is an amenable number.

212130130121 is a deficient number, since it is larger than the sum of its proper divisors (53944440319).

212130130121 is a wasteful number, since it uses less digits than its factorization.

212130130121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412473 (or 412466 counting only the distinct ones).

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

Adding to 212130130121 its reverse (121031031212), we get a palindrome (333161161333).

The spelling of 212130130121 in words is "two hundred twelve billion, one hundred thirty million, one hundred thirty thousand, one hundred twenty-one".

Divisors: 1 7 13 49 91 637 809 5663 10517 39641 73619 411637 515333 2881459 5351281 20170213 37458967 262212769 333014333 2331100331 4329186329 16317702317 30304304303 212130130121