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10112112200 = 2352435572111
BaseRepresentation
bin10010110101011101…
…01001011001001000
3222002201201112011002
421122232221121020
5131202200042300
64351225354132
7505405351451
oct113256513110
928081645132
1010112112200
11431a029623
121b62638948
13c51cb2058
146bcdc8128
153e2b565d5
hex25aba9648

10112112200 has 96 divisors (see below), whose sum is σ = 24112028160. Its totient is φ = 3941817600.

The previous prime is 10112112187. The next prime is 10112112211. The reversal of 10112112200 is 221121101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4789145 + ... + 4791255.

It is an arithmetic number, because the mean of its divisors is an integer number (251166960).

Almost surely, 210112112200 is an apocalyptic number.

10112112200 is a gapful number since it is divisible by the number (10) 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 10112112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12056014080).

10112112200 is an abundant number, since it is smaller than the sum of its proper divisors (13999915960).

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

10112112200 is a wasteful number, since it uses less digits than its factorization.

10112112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2727 (or 2718 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10112112200 its reverse (221121101), we get a palindrome (10333233301).

The spelling of 10112112200 in words is "ten billion, one hundred twelve million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 344 430 557 860 1075 1114 1720 2111 2150 2228 2785 4222 4300 4456 5570 8444 8600 10555 11140 13925 16888 21110 22280 23951 27850 42220 47902 52775 55700 84440 90773 95804 105550 111400 119755 181546 191608 211100 239510 363092 422200 453865 479020 598775 726184 907730 958040 1175827 1197550 1815460 2269325 2351654 2395100 3630920 4538650 4703308 4790200 5879135 9077300 9406616 11758270 18154600 23516540 29395675 47033080 50560561 58791350 101121122 117582700 202242244 235165400 252802805 404484488 505605610 1011211220 1264014025 2022422440 2528028050 5056056100 10112112200