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11022010112 = 28174435717
BaseRepresentation
bin10100100001111011…
…01000011100000000
31001110010212010102202
422100331220130000
5140033113310422
65021411532332
7540064353161
oct122075503400
931403763382
1011022010112
114746701373
1221772ba0a8
131068662999
14767b9d768
1544798ab92
hex290f68700

11022010112 has 72 divisors (see below), whose sum is σ = 23351808816. Its totient is φ = 5174214656.

The previous prime is 11022010081. The next prime is 11022010123. The reversal of 11022010112 is 21101022011.

It is a junction number, because it is equal to n+sod(n) for n = 11022010093 and 11022010102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1925078 + ... + 1930794.

It is an arithmetic number, because the mean of its divisors is an integer number (324330678).

Almost surely, 211022010112 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 11022010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11675904408).

11022010112 is an abundant number, since it is smaller than the sum of its proper divisors (12329798704).

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

11022010112 is an equidigital number, since it uses as much as digits as its factorization.

11022010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6193 (or 6179 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11022010112 its reverse (21101022011), we get a palindrome (32123032123).

The spelling of 11022010112 in words is "eleven billion, twenty-two million, ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 443 544 886 1088 1772 2176 3544 4352 5717 7088 7531 11434 14176 15062 22868 28352 30124 45736 56704 60248 91472 97189 113408 120496 182944 194378 240992 365888 388756 481984 731776 777512 963968 1463552 1555024 1927936 2532631 3110048 5065262 6220096 10130524 12440192 20261048 24880384 40522096 43054727 81044192 86109454 162088384 172218908 324176768 344437816 648353536 688875632 1377751264 2755502528 5511005056 11022010112