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11022222101022 = 2341114394298339
BaseRepresentation
bin1010000001100100111110…
…1000100000101000011110
31110000201021121110101010000
42200121033220200220132
52421042002324213042
635235312224155130
72215220640006006
oct240311750405036
943021247411100
1011022222101022
11356a553033360
1212a021ba68aa6
1361c51129ab62
142a169aa0d006
15141aa755a74c
hexa064fa20a1e

11022222101022 has 80 divisors (see below), whose sum is σ = 26961939417600. Its totient is φ = 3337745423760.

The previous prime is 11022222100937. The next prime is 11022222101029. The reversal of 11022222101022 is 22010122222011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11022222100986 and 11022222101004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11022222101029) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 415129 + ... + 4713467.

It is an arithmetic number, because the mean of its divisors is an integer number (337024242720).

Almost surely, 211022222101022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11022222101022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13480969708800).

11022222101022 is an abundant number, since it is smaller than the sum of its proper divisors (15939717316578).

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

11022222101022 is a wasteful number, since it uses less digits than its factorization.

11022222101022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4299803 (or 4299794 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11022222101022 its reverse (22010122222011), we get a palindrome (33032344323033).

The spelling of 11022222101022 in words is "eleven trillion, twenty-two billion, two hundred twenty-two million, one hundred one thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 891 1439 1782 2878 4317 8634 12951 15829 25902 31658 38853 47487 77706 94974 116559 142461 233118 284922 427383 854766 1282149 2564298 4298339 8596678 12895017 25790034 38685051 47281729 77370102 94563458 116055153 141845187 232110306 283690374 348165459 425535561 696330918 851071122 1276606683 2553213366 3829820049 6185309821 7659640098 12370619642 18555929463 37111858926 55667788389 68038408031 111335576778 136076816062 167003365167 204115224093 334006730334 408230448186 501010095501 612345672279 1002020191002 1224691344558 1837037016837 3674074033674 5511111050511 11022222101022