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100222221112 = 2313532349983
BaseRepresentation
bin101110101010110110…
…1011011101100111000
3100120200122210100022021
41131111231123230320
53120223342033422
6114012542004224
710145412552316
oct1352555335470
9316618710267
10100222221112
113955a916112
1217510276674
1395b2877120
144bca7890b6
1529189d2dc7
hex1755b5bb38

100222221112 has 96 divisors (see below), whose sum is σ = 207063612000. Its totient is φ = 45207571968.

The previous prime is 100222221017. The next prime is 100222221133. The reversal of 100222221112 is 211122222001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101954973 + ... + 101955955.

It is an arithmetic number, because the mean of its divisors is an integer number (2156912625).

Almost surely, 2100222221112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100222221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103531806000).

100222221112 is an abundant number, since it is smaller than the sum of its proper divisors (106841390888).

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

100222221112 is a wasteful number, since it uses less digits than its factorization.

100222221112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100222221112 its reverse (211122222001), we get a palindrome (311344443113).

The spelling of 100222221112 in words is "one hundred billion, two hundred twenty-two million, two hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 4 8 13 26 52 53 104 106 212 349 424 689 698 983 1378 1396 1966 2756 2792 2809 3932 4537 5512 5618 7864 9074 11236 12779 18148 18497 22472 25558 36296 36517 36994 51116 52099 73034 73988 102232 104198 146068 147976 208396 240461 292136 343067 416792 480922 677287 686134 961844 980341 1354574 1372268 1923688 1960682 2709148 2744536 2761247 3921364 4459871 5418296 5522494 7842728 8919742 11044988 12744433 17839484 18182551 22089976 25488866 35678968 35896211 36365102 50977732 71792422 72730204 101955464 143584844 145460408 236373163 287169688 472746326 945492652 963675203 1890985304 1927350406 3854700812 7709401624 12527777639 25055555278 50111110556 100222221112