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2111222200122 = 2327611303210809
BaseRepresentation
bin11110101110001110101…
…001100011011100111010
321110211102201001000201100
4132232032221203130322
5234042240340400442
64253514310432230
7305350024415130
oct36561651433472
97424381030640
102111222200122
1174440098aa42
122a1204062676
1312411a0293c9
1474280101750
1539db754884c
hex1eb8ea6373a

2111222200122 has 96 divisors (see below), whose sum is σ = 5317592866560. Its totient is φ = 592859554560.

The previous prime is 2111222200121. The next prime is 2111222200159. The reversal of 2111222200122 is 2210022221112.

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 = 2111222200095 and 2111222200104.

It is not an unprimeable number, because it can be changed into a prime (2111222200121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9909454 + ... + 10120262.

It is an arithmetic number, because the mean of its divisors is an integer number (55391592360).

Almost surely, 22111222200122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2111222200122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2658796433280).

2111222200122 is an abundant number, since it is smaller than the sum of its proper divisors (3206370666438).

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

2111222200122 is a wasteful number, since it uses less digits than its factorization.

2111222200122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212188 (or 212185 counting only the distinct ones).

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

Adding to 2111222200122 its reverse (2210022221112), we get a palindrome (4321244421234).

The spelling of 2111222200122 in words is "two trillion, one hundred eleven billion, two hundred twenty-two million, two hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 61 63 122 126 183 366 427 549 854 1098 1281 1303 2562 2606 3843 3909 7686 7818 9121 11727 18242 23454 27363 54726 79483 82089 158966 164178 210809 238449 421618 476898 556381 632427 715347 1112762 1264854 1430694 1475663 1669143 1897281 2951326 3338286 3794562 4426989 5007429 8853978 10014858 12859349 13280967 25718698 26561934 38578047 77156094 90015443 115734141 180030886 231468282 270046329 274684127 540092658 549368254 810138987 824052381 1620277974 1648104762 1922788889 2472157143 3845577778 4944314286 5768366667 11536733334 16755731747 17305100001 33511463494 34610200002 50267195241 100534390482 117290122229 150801585723 234580244458 301603171446 351870366687 703740733374 1055611100061 2111222200122