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111020002110112 = 2561163389896983
BaseRepresentation
bin11001001111100011011011…
…110010011110101010100000
3112120002102000211110200101011
4121033203123302132222200
5104022422431020010422
61032041515044550304
732245634101431454
oct3117433362365240
9476072024420334
10111020002110112
11324133559a64a7
12105505060b2394
1349c41ab5031c4
141d5b57aa5c664
15cc7d41eb0077
hex64f8dbc9eaa0

111020002110112 has 96 divisors (see below), whose sum is σ = 224091503475840. Its totient is φ = 54125472568320.

The previous prime is 111020002110107. The next prime is 111020002110113. The reversal of 111020002110112 is 211011200020111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 111020002110092 and 111020002110101.

It is not an unprimeable number, because it can be changed into a prime (111020002110113) 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, 123321973 + ... + 124218955.

It is an arithmetic number, because the mean of its divisors is an integer number (2334286494540).

Almost surely, 2111020002110112 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 111020002110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112045751737920).

111020002110112 is an abundant number, since it is smaller than the sum of its proper divisors (113071501365728).

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

111020002110112 is a wasteful number, since it uses less digits than its factorization.

111020002110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897606 (or 897598 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 111020002110112 its reverse (211011200020111), we get a palindrome (322031202130223).

The spelling of 111020002110112 in words is "one hundred eleven trillion, twenty billion, two million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 61 122 163 244 326 389 488 652 778 976 1304 1556 1952 2608 3112 5216 6224 9943 12448 19886 23729 39772 47458 63407 79544 94916 126814 159088 189832 253628 318176 379664 507256 759328 896983 1014512 1793966 2029024 3587932 3867827 7175864 7735654 14351728 15471308 28703456 30942616 54715963 61885232 109431926 123770464 146208229 218863852 292416458 348926387 437727704 584832916 697852774 875455408 1169665832 1395705548 1750910816 2339331664 2791411096 4678663328 5582822192 8918701969 11165644384 17837403938 21284509607 35674807876 42569019214 56875001081 71349615752 85138038428 113750002162 142699231504 170276076856 227500004324 285398463008 340552153712 455000008648 681104307424 910000017296 1820000034592 3469375065941 6938750131882 13877500263764 27755000527528 55510001055056 111020002110112