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10112202221 = 111497198581
BaseRepresentation
bin10010110101011101…
…11111010111101101
3222002201220002122012
421122232333113231
5131202210432341
64351231331005
7505406205062
oct113256772755
928081802565
1010112202221
11431a090220
121b62680a65
13c52014014
146bd00cc69
153e2b730eb
hex25abbf5ed

10112202221 has 16 divisors (see below), whose sum is σ = 11122272000. Its totient is φ = 9117451200.

The previous prime is 10112202209. The next prime is 10112202223. The reversal of 10112202221 is 12220221101.

It is a de Polignac number, because none of the positive numbers 2k-10112202221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10112202196 and 10112202205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112202223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1174151 + ... + 1182731.

It is an arithmetic number, because the mean of its divisors is an integer number (695142000).

Almost surely, 210112202221 is an apocalyptic number.

10112202221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10112202221 is a deficient number, since it is larger than the sum of its proper divisors (1010069779).

10112202221 is a wasteful number, since it uses less digits than its factorization.

10112202221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9460.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10112202221 its reverse (12220221101), we get a palindrome (22332423322).

The spelling of 10112202221 in words is "ten billion, one hundred twelve million, two hundred two thousand, two hundred twenty-one".

Divisors: 1 11 149 719 1639 7909 8581 94391 107131 1178441 1278569 6169739 14064259 67867129 919291111 10112202221