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10111112221 = 72206349229
BaseRepresentation
bin10010110101010101…
…10101010000011101
3222002122211201102211
421122222311100131
5131201421042341
64351152120421
7505364015200
oct113252652035
928078751384
1010111112221
1143195062a1
121b62236111
13c51a21b52
146bcc07937
153e2a0a181
hex25aab541d

10111112221 has 6 divisors (see below), whose sum is σ = 11761906110. Its totient is φ = 8666667576.

The previous prime is 10111112203. The next prime is 10111112227. The reversal of 10111112221 is 12221111101.

It is a happy number.

10111112221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 6062335321 + 4048776900 = 77861^2 + 63630^2 .

It is not a de Polignac number, because 10111112221 - 211 = 10111110173 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111112227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 103174566 + ... + 103174663.

It is an arithmetic number, because the mean of its divisors is an integer number (1960317685).

Almost surely, 210111112221 is an apocalyptic number.

It is an amenable number.

10111112221 is a deficient number, since it is larger than the sum of its proper divisors (1650793889).

10111112221 is an equidigital number, since it uses as much as digits as its factorization.

10111112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206349243 (or 206349236 counting only the distinct ones).

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

Adding to 10111112221 its reverse (12221111101), we get a palindrome (22332223322).

The spelling of 10111112221 in words is "ten billion, one hundred eleven million, one hundred twelve thousand, two hundred twenty-one".

Divisors: 1 7 49 206349229 1444444603 10111112221