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10112333220 = 2235511435383
BaseRepresentation
bin10010110101011110…
…11111010110100100
3222002202010202100000
421122233133112210
5131202224130340
64351234221300
7505410262023
oct113257372644
928082122300
1010112333220
11431a16a690
121b62724830
13c5205b832
146bd0448ba
153e2b9bd30
hex25abdf5a4

10112333220 has 576 divisors, whose sum is σ = 36614882304. Its totient is φ = 2320980480.

The previous prime is 10112333201. The next prime is 10112333233. The reversal of 10112333220 is 2233321101.

Added to its reverse (2233321101) it gives a square (12345654321 = 1111112).

10112333220 is a `hidden beast` number, since 1 + 0 + 112 + 333 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10112333193 and 10112333202.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 121835299 + ... + 121835381.

It is an arithmetic number, because the mean of its divisors is an integer number (63567504).

Almost surely, 210112333220 is an apocalyptic number.

10112333220 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 10112333220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18307441152).

10112333220 is an abundant number, since it is smaller than the sum of its proper divisors (26502549084).

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

10112333220 is a wasteful number, since it uses less digits than its factorization.

10112333220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10112333220 its reverse (2233321101), we get a palindrome (12345654321).

It can be divided in two parts, 101 and 12333220, that added together give a palindrome (12333321).

The spelling of 10112333220 in words is "ten billion, one hundred twelve million, three hundred thirty-three thousand, two hundred twenty".