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212021202120212 = 221753731375882353
BaseRepresentation
bin110000001101010100001000…
…011011111110111000010100
31000210201000210010020110112102
4300031110020123332320110
5210242223410220321322
62030533110130341232
762442012016352552
oct6015241033767024
91023630703213472
10212021202120212
1161613761240951
121b94316772a818
13913c68a410914
143a4dc4940abd2
15197a258534792
hexc0d5086fee14

212021202120212 has 96 divisors (see below), whose sum is σ = 408720355922592. Its totient is φ = 95846384664576.

The previous prime is 212021202120193. The next prime is 212021202120239.

212021202120212 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 16 ways, for example, as 1911654655876 + 210109547464336 = 1382626^2 + 14495156^2 .

212021202120212 is a modest number, since divided by 21202120212 gives 212 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33102428 + ... + 38984780.

It is an arithmetic number, because the mean of its divisors is an integer number (4257503707527).

Almost surely, 2212021202120212 is an apocalyptic number.

It is an amenable number.

212021202120212 is a deficient number, since it is larger than the sum of its proper divisors (196699153802380).

212021202120212 is a wasteful number, since it uses less digits than its factorization.

212021202120212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5882637 (or 5882635 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

It can be divided in two parts, 21202120 and 2120212, that added together give a palindrome (23322332).

The spelling of 212021202120212 in words is "two hundred twelve trillion, twenty-one billion, two hundred two million, one hundred twenty thousand, two hundred twelve".

Divisors: 1 2 4 17 34 53 68 73 106 137 146 212 274 292 548 901 1241 1802 2329 2482 3604 3869 4658 4964 7261 7738 9316 10001 14522 15476 20002 29044 40004 65773 123437 131546 170017 246874 263092 340034 493748 530053 680068 1060106 2120212 5882353 9010901 11764706 18021802 23529412 36043604 100000001 200000002 311764709 400000004 429411769 623529418 805882361 858823538 1247058836 1611764722 1717647076 3223529444 5300000053 7300000073 10600000106 13700000137 14600000146 21200000212 22758823757 27400000274 29200000292 42711765133 45517647514 54800000548 58829412353 85423530266 91035295028 117658824706 170847060532 235317649412 386900003869 726100007261 773800007738 1000100010001 1452200014522 1547600015476 2000200020002 2904400029044 3117958854709 4000400040004 6235917709418 12471835418836 53005300530053 106010601060106 212021202120212