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10020222011112 = 23319907123119681
BaseRepresentation
bin1001000111010000001111…
…0001100000011011101000
31022110220221111111212001220
42101310003301200123220
52303132403313323422
633151120524542040
72052636304532025
oct221640361403350
938426844455056
1010020222011112
11321360910a2a5
121159ba00b1920
13578b97826081
14268da4ac654c
151259b0414e5c
hex91d03c606e8

10020222011112 has 128 divisors (see below), whose sum is σ = 26420864870400. Its totient is φ = 3158063769600.

The previous prime is 10020222011101. The next prime is 10020222011161. The reversal of 10020222011112 is 21111022202001.

It is a junction number, because it is equal to n+sod(n) for n = 10020222011091 and 10020222011100.

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, 509121912 + ... + 509141592.

It is an arithmetic number, because the mean of its divisors is an integer number (206413006800).

Almost surely, 210020222011112 is an apocalyptic number.

10020222011112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10020222011112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13210432435200).

10020222011112 is an abundant number, since it is smaller than the sum of its proper divisors (16400642859288).

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

10020222011112 is a wasteful number, since it uses less digits than its factorization.

10020222011112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21847 (or 21843 counting only the distinct ones).

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

Adding to 10020222011112 its reverse (21111022202001), we get a palindrome (31131244213113).

The spelling of 10020222011112 in words is "ten trillion, twenty billion, two hundred twenty-two million, eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 907 1231 1814 2462 2721 3628 3693 4924 5442 7256 7386 9848 10884 14772 17233 19681 21768 23389 29544 34466 39362 46778 51699 59043 68932 70167 78724 93556 103398 118086 137864 140334 157448 187112 206796 236172 280668 373939 413592 472344 561336 747878 1116517 1121817 1495756 2233034 2243634 2991512 3349551 4466068 4487268 6699102 8932136 8974536 13398204 17850667 21213823 24227311 26796408 35701334 42427646 48454622 53552001 63641469 71402668 72681933 84855292 96909244 107104002 127282938 142805336 145363866 169710584 193818488 214208004 254565876 290727732 339162673 428416008 460318909 509131752 581455464 678325346 920637818 1017488019 1356650692 1380956727 1841275636 2034976038 2713301384 2761913454 3682551272 4069952076 5523826908 8139904152 11047653816 21974171077 43948342154 65922513231 87896684308 131845026462 175793368616 263690052924 417509250463 527380105848 835018500926 1252527751389 1670037001852 2505055502778 3340074003704 5010111005556 10020222011112