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10220112221 = 1117942112329
BaseRepresentation
bin10011000010010101…
…01000100101011101
3222101020221111022212
421201022220211131
5131412322042341
64410044250205
7511156343354
oct114112504535
928336844285
1010220112221
114374a94640
121b92840965
13c6b496ca7
146cd49c99b
153ec38b5eb
hex2612a895d

10220112221 has 16 divisors (see below), whose sum is σ = 11239041600. Its totient is φ = 9216412800.

The previous prime is 10220112187. The next prime is 10220112229. The reversal of 10220112221 is 12221102201.

It is a cyclic number.

It is not a de Polignac number, because 10220112221 - 210 = 10220111197 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10220112196 and 10220112205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220112229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 822785 + ... + 835113.

It is an arithmetic number, because the mean of its divisors is an integer number (702440100).

Almost surely, 210220112221 is an apocalyptic number.

10220112221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10220112221 is a deficient number, since it is larger than the sum of its proper divisors (1018929379).

10220112221 is a wasteful number, since it uses less digits than its factorization.

10220112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12940.

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

Adding to 10220112221 its reverse (12221102201), we get a palindrome (22441214422).

It can be divided in two parts, 102201 and 12221, that multiplied together give a palindrome (1248998421).

The spelling of 10220112221 in words is "ten billion, two hundred twenty million, one hundred twelve thousand, two hundred twenty-one".

Divisors: 1 11 179 421 1969 4631 12329 75359 135619 828949 2206891 5190509 24275801 57095599 929101111 10220112221