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110222110012 = 22743227403289
BaseRepresentation
bin110011010100110111…
…1111110110100111100
3101112111120100100000211
41212221233332310330
53301213330010022
6122345122202204
710651256322340
oct1465157766474
9345446310024
10110222110012
1142821564703
12194411b3364
13a517525b51
1454988bd620
152d0186ce77
hex19a9bfed3c

110222110012 has 48 divisors (see below), whose sum is σ = 226565095680. Its totient is φ = 45936116352.

The previous prime is 110222110003. The next prime is 110222110021. The reversal of 110222110012 is 210011222011.

It is an interprime number because it is at equal distance from previous prime (110222110003) and next prime (110222110021).

It is a junction number, because it is equal to n+sod(n) for n = 110222109974 and 110222110001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71664 + ... + 474952.

It is an arithmetic number, because the mean of its divisors is an integer number (4720106160).

Almost surely, 2110222110012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110222110012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113282547840).

110222110012 is an abundant number, since it is smaller than the sum of its proper divisors (116342985668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110222110012 is a wasteful number, since it uses less digits than its factorization.

110222110012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403570 (or 403568 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 110222110012 its reverse (210011222011), we get a palindrome (320233332023).

The spelling of 110222110012 in words is "one hundred ten billion, two hundred twenty-two million, one hundred ten thousand, twelve".

Divisors: 1 2 4 7 14 28 43 86 172 227 301 454 602 908 1204 1589 3178 6356 9761 19522 39044 68327 136654 273308 403289 806578 1613156 2823023 5646046 11292092 17341427 34682854 69365708 91546603 121389989 183093206 242779978 366186412 485559956 640826221 1281652442 2563304884 3936503929 7873007858 15746015716 27555527503 55111055006 110222110012