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3221101112112 = 2432132719163281
BaseRepresentation
bin101110110111111000100…
…101100110101100110000
3102101221020002000112001100
4232313320211212230300
5410233303341041422
610503430423404400
7451500613462302
oct56677045465460
912357202015040
103221101112112
111032074670804
124403302b3700
131a49966a6920
14b1c8b60b972
1558bc54397ac
hex2edf8966b30

3221101112112 has 120 divisors (see below), whose sum is σ = 9708551300448. Its totient is φ = 991055923200.

The previous prime is 3221101112111. The next prime is 3221101112113. The reversal of 3221101112112 is 2112111011223.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3221101112111) and next prime (3221101112113).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3221101112111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50869912 + ... + 50933192.

Almost surely, 23221101112112 is an apocalyptic number.

It is an amenable number.

3221101112112 is an abundant number, since it is smaller than the sum of its proper divisors (6487450188336).

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

3221101112112 is a wasteful number, since it uses less digits than its factorization.

3221101112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90499 (or 90490 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 3221101112112 its reverse (2112111011223), we get a palindrome (5333212123335).

The spelling of 3221101112112 in words is "three trillion, two hundred twenty-one billion, one hundred one million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 27191 54382 63281 81573 108764 126562 163146 189843 217528 244719 253124 326292 353483 379686 435056 489438 506248 569529 652584 706966 759372 822653 978876 1012496 1060449 1139058 1305168 1413932 1518744 1645306 1957752 2120898 2278116 2467959 2827864 3037488 3181347 3290612 3915504 4241796 4556232 4935918 5655728 6362694 6581224 7403877 8483592 9112464 9871836 12725388 13162448 14807754 16967184 19743672 25450776 29615508 39487344 50901552 59231016 118462032 1720673671 3441347342 5162021013 6882694684 10324042026 13765389368 15486063039 20648084052 22368757723 27530778736 30972126078 41296168104 44737515446 61944252156 67106273169 82592336208 89475030892 123888504312 134212546338 178950061784 201318819507 247777008624 268425092676 357900123568 402637639014 536850185352 805275278028 1073700370704 1610550556056 3221101112112