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11012111022 = 23114671871
BaseRepresentation
bin10100100000101111…
…10111101010101110
31001102110020012102210
422100113313222232
5140023100023042
65020415431250
7536614253643
oct122027675256
931373205383
1011012111022
114741060000
122173b25526
1310665a8033
14766743dca
15446b82a9c
hex2905f7aae

11012111022 has 80 divisors (see below), whose sum is σ = 24601224960. Its totient is φ = 3285440400.

The previous prime is 11012111003. The next prime is 11012111023. The reversal of 11012111022 is 22011121011.

It is a junction number, because it is equal to n+sod(n) for n = 11012110989 and 11012111007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11012111023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5884747 + ... + 5886617.

It is an arithmetic number, because the mean of its divisors is an integer number (307515312).

Almost surely, 211012111022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11012111022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12300612480).

11012111022 is an abundant number, since it is smaller than the sum of its proper divisors (13589113938).

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

11012111022 is an equidigital number, since it uses as much as digits as its factorization.

11012111022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1987 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11012111022 its reverse (22011121011), we get a palindrome (33023232033).

The spelling of 11012111022 in words is "eleven billion, twelve million, one hundred eleven thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 66 67 121 134 201 242 363 402 726 737 1331 1474 1871 2211 2662 3742 3993 4422 5613 7986 8107 11226 14641 16214 20581 24321 29282 41162 43923 48642 61743 87846 89177 123486 125357 178354 226391 250714 267531 376071 452782 535062 679173 752142 980947 1358346 1378927 1961894 2490301 2757854 2942841 4136781 4980602 5885682 7470903 8273562 14941806 15168197 27393311 30336394 45504591 54786622 82179933 91009182 164359866 166850167 333700334 500550501 1001101002 1835351837 3670703674 5506055511 11012111022