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211222010000112 = 24337204107582691
BaseRepresentation
bin110000000001101011110100…
…110111111111001011110000
31000200212121221001021021102120
4300001223310313333023300
5210141130134030000422
62025122015105514240
762330200212413526
oct6001536467771360
91020777831237376
10211222010000112
116133582a10a2a1
121b8342a7942980
1390b21c49459b7
143a232b24a2316
15196458112445c
hexc01af4dff2f0

211222010000112 has 80 divisors (see below), whose sum is σ = 560408049244032. Its totient is φ = 68503982480640.

The previous prime is 211222010000081. The next prime is 211222010000123. The reversal of 211222010000112 is 211000010222112.

It is a super-2 number, since 2×2112220100001122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211222010000091 and 211222010000100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 362202687 + ... + 362785377.

Almost surely, 2211222010000112 is an apocalyptic number.

It is an amenable number.

211222010000112 is an abundant number, since it is smaller than the sum of its proper divisors (349186039243920).

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

211222010000112 is a wasteful number, since it uses less digits than its factorization.

211222010000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786846 (or 786840 counting only the distinct ones).

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

Adding to 211222010000112 its reverse (211000010222112), we get a palindrome (422222020222224).

The spelling of 211222010000112 in words is "two hundred eleven trillion, two hundred twenty-two billion, ten million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 1776 204107 408214 582691 612321 816428 1165382 1224642 1632856 1748073 2330764 2449284 3265712 3496146 4661528 4898568 6992292 7551959 9323056 9797136 13984584 15103918 21559567 22655877 27969168 30207836 43119134 45311754 60415672 64678701 86238268 90623508 120831344 129357402 172476536 181247016 258714804 344953072 362494032 517429608 1034859216 118931311937 237862623874 356793935811 475725247748 713587871622 951450495496 1427175743244 1902900990992 2854351486488 4400458541669 5708702972976 8800917083338 13201375625007 17601834166676 26402751250014 35203668333352 52805502500028 70407336666704 105611005000056 211222010000112