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1213311216 = 2431317114377
BaseRepresentation
bin100100001010001…
…1010100011110000
310010120001121002110
41020110122203300
54441101424331
6320221245320
742031655325
oct11024324360
93116047073
101213311216
11572978747
1229a403840
131644a5240
14b71d6b4c
15717b9946
hex4851a8f0

1213311216 has 80 divisors (see below), whose sum is σ = 3574083744. Its totient is φ = 351363072.

The previous prime is 1213311191. The next prime is 1213311217. The reversal of 1213311216 is 6121133121.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1213311192 and 1213311201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213311217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46581 + ... + 67796.

Almost surely, 21213311216 is an apocalyptic number.

1213311216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1213311216 is an abundant number, since it is smaller than the sum of its proper divisors (2360772528).

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

1213311216 is a wasteful number, since it uses less digits than its factorization.

1213311216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114418 (or 114412 counting only the distinct ones).

The product of its digits is 216, while the sum is 21.

The square root of 1213311216 is about 34832.6171282033. The cubic root of 1213311216 is about 1066.5733732642.

Adding to 1213311216 its reverse (6121133121), we get a palindrome (7334444337).

The spelling of 1213311216 in words is "one billion, two hundred thirteen million, three hundred eleven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 136 156 204 208 221 272 312 408 442 624 663 816 884 1326 1768 2652 3536 5304 10608 114377 228754 343131 457508 686262 915016 1372524 1486901 1830032 1944409 2745048 2973802 3888818 4460703 5490096 5833227 5947604 7777636 8921406 11666454 11895208 15555272 17842812 23332908 23790416 25277317 31110544 35685624 46665816 50554634 71371248 75831951 93331632 101109268 151663902 202218536 303327804 404437072 606655608 1213311216