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211222220100102 = 2322910130671306273
BaseRepresentation
bin110000000001101100000001…
…011001011101001000000110
31000200212122110200121110102200
4300001230001121131020012
5210141131101321200402
62025122052013015330
762330205343265121
oct6001540131351006
91020778420543380
10211222220100102
1161335927770552
121b834346184546
1390b2229328213
143a232d23533b8
1519645947c621c
hexc01b0165d206

211222220100102 has 96 divisors (see below), whose sum is σ = 478272787742880. Its totient is φ = 67284503193600.

The previous prime is 211222220100077. The next prime is 211222220100119. The reversal of 211222220100102 is 201001022222112.

It is a happy number.

211222220100102 is a `hidden beast` number, since 21 + 1 + 222 + 220 + 100 + 102 = 666.

It is a super-2 number, since 2×2112222201001022 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161045238 + ... + 162351510.

It is an arithmetic number, because the mean of its divisors is an integer number (4982008205655).

Almost surely, 2211222220100102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211222220100102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239136393871440).

211222220100102 is an abundant number, since it is smaller than the sum of its proper divisors (267050567642778).

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

211222220100102 is a wasteful number, since it uses less digits than its factorization.

211222220100102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309478 (or 1309475 counting only the distinct ones).

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

Adding to 211222220100102 its reverse (201001022222112), we get a palindrome (412223242322214).

The spelling of 211222220100102 in words is "two hundred eleven trillion, two hundred twenty-two billion, two hundred twenty million, one hundred thousand, one hundred two".

Divisors: 1 2 3 6 9 18 29 58 87 101 174 202 261 303 522 606 909 1818 2929 3067 5858 6134 8787 9201 17574 18402 26361 27603 52722 55206 88943 177886 266829 309767 533658 619534 800487 929301 1306273 1600974 1858602 2612546 2787903 3918819 5575806 7837638 8983243 11756457 17966486 23512914 26949729 37881917 53899458 75763834 80849187 113645751 131933573 161698374 227291502 263867146 340937253 395800719 681874506 791601438 1187402157 2374804314 3826073617 4006339291 7652147234 8012678582 11478220851 12019017873 22956441702 24038035746 34434662553 36057053619 68869325106 72114107238 116183839439 232367678878 348551518317 404640268391 697103036634 809280536782 1045654554951 1213920805173 2091309109902 2427841610346 3641762415519 7283524831038 11734567783339 23469135566678 35203703350017 70407406700034 105611110050051 211222220100102