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212122300121313 = 33130770110598563
BaseRepresentation
bin110000001110110010010010…
…010110010000000011100001
31000211001200201210222001010120
4300032302102112100003201
5210300402432312340223
62031051350035350453
762452221225240501
oct6016622226200341
91024050653861116
10212122300121313
116165262044647a
121b95a881152429
13914907c55124a
143a54aba209a01
15197cbc3d5cbe3
hexc0ec925900e1

212122300121313 has 32 divisors (see below), whose sum is σ = 293322126569472. Its totient is φ = 136212718824000.

The previous prime is 212122300121299. The next prime is 212122300121339. The reversal of 212122300121313 is 313121003221212.

It is not a de Polignac number, because 212122300121313 - 214 = 212122300104929 is a prime.

It is a super-4 number, since 4×2121223001213134 (a number of 58 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (212122300121383) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14714970 + ... + 25313532.

It is an arithmetic number, because the mean of its divisors is an integer number (9166316455296).

Almost surely, 2212122300121313 is an apocalyptic number.

It is an amenable number.

212122300121313 is a deficient number, since it is larger than the sum of its proper divisors (81199826448159).

212122300121313 is a wasteful number, since it uses less digits than its factorization.

212122300121313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10599605.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 212122300121313 its reverse (313121003221212), we get a palindrome (525243303342525).

The spelling of 212122300121313 in words is "two hundred twelve trillion, one hundred twenty-two billion, three hundred million, one hundred twenty-one thousand, three hundred thirteen".

Divisors: 1 3 31 93 307 701 921 2103 9517 21731 28551 65193 215207 645621 6671417 10598563 20014251 31795689 328555453 985666359 3253758841 7429592663 9761276523 22288777989 100866524071 230317372553 302599572213 690952117659 2280884947541 6842654842623 70707433373771 212122300121313