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22011212112 = 2431941718291
BaseRepresentation
bin10100011111111110…
…000111000101010000
32002210222222102121020
4110133332013011100
5330034332241422
614040052355440
71406313134031
oct243776070520
962728872536
1022011212112
11937583449a
124323615b80
1320ca279486
1410cb45ca88
1588c5e595c
hex51ff87150

22011212112 has 160 divisors (see below), whose sum is σ = 62186019840. Its totient is φ = 6685056000.

The previous prime is 22011212099. The next prime is 22011212189. The reversal of 22011212112 is 21121211022.

It is a junction number, because it is equal to n+sod(n) for n = 22011212091 and 22011212100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2650687 + ... + 2658977.

It is an arithmetic number, because the mean of its divisors is an integer number (388662624).

Almost surely, 222011212112 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 22011212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31093009920).

22011212112 is an abundant number, since it is smaller than the sum of its proper divisors (40174807728).

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

22011212112 is a wasteful number, since it uses less digits than its factorization.

22011212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8433 (or 8427 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 22011212112 its reverse (21121211022), we get a palindrome (43132423134).

The spelling of 22011212112 in words is "twenty-two billion, eleven million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 41 48 57 71 76 82 114 123 142 152 164 213 228 246 284 304 328 426 456 492 568 656 779 852 912 984 1136 1349 1558 1704 1968 2337 2698 2911 3116 3408 4047 4674 5396 5822 6232 8094 8291 8733 9348 10792 11644 12464 16188 16582 17466 18696 21584 23288 24873 32376 33164 34932 37392 46576 49746 55309 64752 66328 69864 99492 110618 132656 139728 157529 165927 198984 221236 315058 331854 339931 397968 442472 472587 588661 630116 663708 679862 884944 945174 1019793 1177322 1260232 1327416 1359724 1765983 1890348 2039586 2354644 2520464 2654832 2719448 3531966 3780696 4079172 4709288 5438896 6458689 7063932 7561392 8158344 9418576 11184559 12917378 14127864 16316688 19376067 22369118 24135101 25834756 28255728 33553677 38752134 44738236 48270202 51669512 67107354 72405303 77504268 89476472 96540404 103339024 134214708 144810606 155008536 178952944 193080808 268429416 289621212 310017072 386161616 458566919 536858832 579242424 917133838 1158484848 1375700757 1834267676 2751401514 3668535352 5502803028 7337070704 11005606056 22011212112