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10022112221 = 11173533499
BaseRepresentation
bin10010101010101110…
…10100101111011101
3221212110101001101112
421111113110233131
5131011130042341
64334252351405
7503233356032
oct112527245735
927773331345
1010022112221
114283248280
121b38475565
13c39460124
146b107b389
153d9cc9aeb
hex2555d4bdd

10022112221 has 32 divisors (see below), whose sum is σ = 11838960000. Its totient is φ = 8410871040.

The previous prime is 10022112209. The next prime is 10022112223. The reversal of 10022112221 is 12221122001.

It is a de Polignac number, because none of the positive numbers 2k-10022112221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10022112196 and 10022112205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022112223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2862530 + ... + 2866028.

It is an arithmetic number, because the mean of its divisors is an integer number (369967500).

Almost surely, 210022112221 is an apocalyptic number.

10022112221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10022112221 is a deficient number, since it is larger than the sum of its proper divisors (1816847779).

10022112221 is an equidigital number, since it uses as much as digits as its factorization.

10022112221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3614 (or 3580 counting only the distinct ones).

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

Adding to 10022112221 its reverse (12221122001), we get a palindrome (22243234222).

The spelling of 10022112221 in words is "ten billion, twenty-two million, one hundred twelve thousand, two hundred twenty-one".

Divisors: 1 11 17 53 187 289 583 901 3179 3499 4913 9911 15317 38489 54043 59483 168487 185447 260389 654313 1011211 2039917 2864279 3152599 11123321 17190587 34678589 53594183 189096457 589536013 911101111 10022112221