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211222100000112 = 24363117107407657
BaseRepresentation
bin110000000001101011111010…
…001111010011110101110000
31000200212122011022121202012220
4300001223322033103311300
5210141130330100000422
62025122032042521040
762330202354406305
oct6001537217236560
91020778138552186
10211222100000112
11613358759a0663
121b834311b06180
1390b220a497936
143a232c040d0ac
151964588ea0e5c
hexc01afa3d3d70

211222100000112 has 80 divisors (see below), whose sum is σ = 546555129399552. Its totient is φ = 70291504442880.

The previous prime is 211222100000099. The next prime is 211222100000113. The reversal of 211222100000112 is 211000001222112.

211222100000112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2112221000001122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211222100000091 and 211222100000100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211222100000113) 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, 517932988 + ... + 518340644.

Almost surely, 2211222100000112 is an apocalyptic number.

It is an amenable number.

211222100000112 is an abundant number, since it is smaller than the sum of its proper divisors (335333029399440).

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

211222100000112 is a wasteful number, since it uses less digits than its factorization.

211222100000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425406 (or 425400 counting only the distinct ones).

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

Adding to 211222100000112 its reverse (211000001222112), we get a palindrome (422222101222224).

The spelling of 211222100000112 in words is "two hundred eleven trillion, two hundred twenty-two billion, one hundred million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 48 631 1262 1893 2524 3786 5048 7572 10096 15144 17107 30288 34214 51321 68428 102642 136856 205284 273712 407657 410568 815314 821136 1222971 1630628 2445942 3261256 4891884 6522512 9783768 10794517 19567536 21589034 32383551 43178068 64767102 86356136 129534204 172712272 257231567 259068408 514463134 518136816 771694701 1028926268 1543389402 2057852536 3086778804 4115705072 6173557608 6973788299 12347115216 13947576598 20921364897 27895153196 41842729794 55790306392 83685459588 111580612784 167370919176 334741838352 4400460416669 8800920833338 13201381250007 17601841666676 26402762500014 35203683333352 52805525000028 70407366666704 105611050000056 211222100000112