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212312011331 = 7172967019181
BaseRepresentation
bin1100010110111011001…
…0000011001001000011
3202022000101111122221002
43011232302003021003
511434303333330311
6241311303122215
721224201214530
oct3055662031103
9668011448832
10212312011331
118204a660582
1235192a4336b
1317036cc8994
14a3c131bd87
1557c92c793b
hex316ec83243

212312011331 has 32 divisors (see below), whose sum is σ = 265843140480. Its totient is φ = 165328128000.

The previous prime is 212312011319. The next prime is 212312011361. The reversal of 212312011331 is 133110213212.

It is a happy number.

It is not a de Polignac number, because 212312011331 - 218 = 212311749187 is a prime.

It is a super-3 number, since 3×2123120113313 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212312011361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23120561 + ... + 23129741.

It is an arithmetic number, because the mean of its divisors is an integer number (8307598140).

Almost surely, 2212312011331 is an apocalyptic number.

212312011331 is a deficient number, since it is larger than the sum of its proper divisors (53531129149).

212312011331 is a wasteful number, since it uses less digits than its factorization.

212312011331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15935.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 212312011331 its reverse (133110213212), we get a palindrome (345422224543).

The spelling of 212312011331 in words is "two hundred twelve billion, three hundred twelve million, eleven thousand, three hundred thirty-one".

Divisors: 1 7 17 29 119 203 493 3451 6701 9181 46907 64267 113917 156077 194329 266249 797419 1092539 1360303 1863743 3303593 4526233 23125151 31683631 61521881 430653167 1045871977 1784134549 7321103839 12488941843 30330287333 212312011331