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1221311112 = 233743169063
BaseRepresentation
bin100100011001011…
…1011101010001000
310011010010000212220
41020302323222020
510000123423422
6321104534040
742156654540
oct11062735210
93133100786
101221311112
1157744212a
122a1021320
131660465c8
14b82ba320
1572349e5c
hex48cbba88

1221311112 has 64 divisors (see below), whose sum is σ = 3570631680. Its totient is φ = 340828992.

The previous prime is 1221311111. The next prime is 1221311149. The reversal of 1221311112 is 2111131221.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1221311091 and 1221311100.

It is not an unprimeable number, because it can be changed into a prime (1221311111) 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, 77308 + ... + 91755.

It is an arithmetic number, because the mean of its divisors is an integer number (55791120).

Almost surely, 21221311112 is an apocalyptic number.

1221311112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1221311112 is an abundant number, since it is smaller than the sum of its proper divisors (2349320568).

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

1221311112 is a wasteful number, since it uses less digits than its factorization.

1221311112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169122 (or 169118 counting only the distinct ones).

The product of its digits is 24, while the sum is 15.

The square root of 1221311112 is about 34947.2618669904. The cubic root of 1221311112 is about 1068.9123696538.

Adding to 1221311112 its reverse (2111131221), we get a palindrome (3332442333).

The spelling of 1221311112 in words is "one billion, two hundred twenty-one million, three hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 168 172 258 301 344 516 602 903 1032 1204 1806 2408 3612 7224 169063 338126 507189 676252 1014378 1183441 1352504 2028756 2366882 3550323 4057512 4733764 7100646 7269709 9467528 14201292 14539418 21809127 28402584 29078836 43618254 50887963 58157672 87236508 101775926 152663889 174473016 203551852 305327778 407103704 610655556 1221311112