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2102212121022 = 234138291204103
BaseRepresentation
bin11110100101110101100…
…110110101000110111110
321102222011202222120210000
4132211311212311012332
5233420312300333042
64245424245255130
7304610530125006
oct36456546650676
97388152876700
102102212121022
117405a7a35182
1229b50a7044a6
1312331245a560
1473a67625006
1539a3b52a74c
hex1e9759b51be

2102212121022 has 80 divisors (see below), whose sum is σ = 5078982918240. Its totient is φ = 646053703488.

The previous prime is 2102212120963. The next prime is 2102212121083. The reversal of 2102212121022 is 2201212122012.

It is a happy number.

2102212121022 is a `hidden beast` number, since 210 + 221 + 2 + 1 + 210 + 22 = 666.

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 = 2102212120986 and 2102212121004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1143823 + ... + 2347925.

It is an arithmetic number, because the mean of its divisors is an integer number (63487286478).

Almost surely, 22102212121022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102212121022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2539491459120).

2102212121022 is an abundant number, since it is smaller than the sum of its proper divisors (2976770797218).

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

2102212121022 is a wasteful number, since it uses less digits than its factorization.

2102212121022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204959 (or 1204950 counting only the distinct ones).

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

Adding to 2102212121022 its reverse (2201212122012), we get a palindrome (4303424243034).

The spelling of 2102212121022 in words is "two trillion, one hundred two billion, two hundred twelve million, one hundred twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 702 829 1053 1658 2106 2487 4974 7461 10777 14922 21554 22383 32331 44766 64662 67149 96993 134298 193986 290979 581958 872937 1204103 1745874 2408206 3612309 7224618 10836927 15653339 21673854 31306678 32510781 46960017 65021562 93920034 97532343 140880051 195064686 281760102 422640153 845280306 998201387 1267920459 1996402774 2535840918 2994604161 5989208322 8983812483 12976618031 17967624966 25953236062 26951437449 38929854093 53902874898 77859708186 80854312347 116789562279 161708624694 233579124558 350368686837 700737373674 1051106060511 2102212121022