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10222110112221 = 337311744685119
BaseRepresentation
bin1001010011000000010100…
…1111011111100111011101
31100012020001102121000101000
42110300011033133213131
52314434340142042341
633423550023340513
72103344263220010
oct224600517374735
940166042530330
1010222110112221
113291199739837
121191143bb1739
13591c30070b27
14274a77855377
1512ad794e68b6
hex94c053df9dd

10222110112221 has 32 divisors (see below), whose sum is σ = 17865575628800. Its totient is φ = 5652779782320.

The previous prime is 10222110112211. The next prime is 10222110112327. The reversal of 10222110112221 is 12221101122201.

10222110112221 is a `hidden beast` number, since 1 + 0 + 222 + 110 + 112 + 221 = 666.

It is not a de Polignac number, because 10222110112221 - 213 = 10222110104029 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10222110112194 and 10222110112203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222110112211) 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, 872336701 + ... + 872348418.

It is an arithmetic number, because the mean of its divisors is an integer number (558299238400).

Almost surely, 210222110112221 is an apocalyptic number.

It is an amenable number.

10222110112221 is a deficient number, since it is larger than the sum of its proper divisors (7643465516579).

10222110112221 is a wasteful number, since it uses less digits than its factorization.

10222110112221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1744685166 (or 1744685160 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10222110112221 its reverse (12221101122201), we get a palindrome (22443211234422).

The spelling of 10222110112221 in words is "ten trillion, two hundred twenty-two billion, one hundred ten million, one hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 27 31 63 93 189 217 279 651 837 1953 5859 1744685119 5234055357 12212795833 15702166071 36638387499 47106498213 54085238689 109915162497 162255716067 329745487491 378596670823 486767148201 1135790012469 1460301444603 3407370037407 10222110112221