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310331221312 = 2677115436323
BaseRepresentation
bin1001000010000010010…
…11101010010101000000
31002200000111221110002111
410201001023222111000
520041024243040222
6354321511025104
731264203600160
oct4410113522500
91080014843074
10310331221312
1110a67997a832
125018936b194
1323358328a08
141103d2845a0
158114696777
hex48412ea540

310331221312 has 112 divisors (see below), whose sum is σ = 714274854912. Its totient is φ = 131020162560.

The previous prime is 310331221309. The next prime is 310331221349. The reversal of 310331221312 is 213122133013.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49076583 + ... + 49082905.

Almost surely, 2310331221312 is an apocalyptic number.

310331221312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 310331221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357137427456).

310331221312 is an abundant number, since it is smaller than the sum of its proper divisors (403943633600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

310331221312 is a wasteful number, since it uses less digits than its factorization.

310331221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7956 (or 7946 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 310331221312 its reverse (213122133013), we get a palindrome (523453354325).

The spelling of 310331221312 in words is "three hundred ten billion, three hundred thirty-one million, two hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 71 112 142 224 284 448 497 568 994 1136 1543 1988 2272 3086 3976 4544 6172 6323 7952 10801 12344 12646 15904 21602 24688 25292 31808 43204 44261 49376 50584 86408 88522 98752 101168 109553 172816 177044 202336 219106 345632 354088 404672 438212 448933 691264 708176 766871 876424 897866 1416352 1533742 1752848 1795732 2832704 3067484 3142531 3505696 3591464 6134968 6285062 7011392 7182928 9756389 12269936 12570124 14365856 19512778 24539872 25140248 28731712 39025556 49079744 50280496 68294723 78051112 100560992 136589446 156102224 201121984 273178892 312204448 546357784 624408896 692703619 1092715568 1385407238 2185431136 2770814476 4370862272 4848925333 5541628952 9697850666 11083257904 19395701332 22166515808 38791402664 44333031616 77582805328 155165610656 310331221312