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310212013221 = 3511116053877
BaseRepresentation
bin1001000001110100001…
…00111010110010100101
31002122201012122001100000
410200322010322302211
520040303233410341
6354302012011513
731261225414545
oct4407204726245
91078635561300
10310212013221
1110a618659a50
1250155460b99
132333971b396
141102b4d3325
158108e9a8b6
hex483a13aca5

310212013221 has 24 divisors (see below), whose sum is σ = 506923339104. Its totient is φ = 188007279120.

The previous prime is 310212013187. The next prime is 310212013229. The reversal of 310212013221 is 122310212013.

310212013221 is a `hidden beast` number, since 310 + 2 + 120 + 13 + 221 = 666.

It is not a de Polignac number, because 310212013221 - 26 = 310212013157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 310212013194 and 310212013203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310212013229) 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 23 ways as a sum of consecutive naturals, for example, 58024266 + ... + 58029611.

It is an arithmetic number, because the mean of its divisors is an integer number (21121805796).

Almost surely, 2310212013221 is an apocalyptic number.

It is an amenable number.

310212013221 is a deficient number, since it is larger than the sum of its proper divisors (196711325883).

310212013221 is a wasteful number, since it uses less digits than its factorization.

310212013221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116053903 (or 116053891 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 310212013221 its reverse (122310212013), we get a palindrome (432522225234).

The spelling of 310212013221 in words is "three hundred ten billion, two hundred twelve million, thirteen thousand, two hundred twenty-one".

Divisors: 1 3 9 11 27 33 81 99 243 297 891 2673 116053877 348161631 1044484893 1276592647 3133454679 3829777941 9400364037 11489333823 28201092111 34468001469 103404004407 310212013221