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212211101102 = 272111368322171
BaseRepresentation
bin1100010110100011000…
…1000110110110101110
3202021202100121220010012
43011220301012312232
511434102020213402
6241253300213222
721221534411600
oct3055061066656
9667670556105
10212211101102
1181aa86a81a0
123516509a212
131701c126aa0
14a3b1b71170
1557c04e3452
hex3168c46dae

212211101102 has 96 divisors (see below), whose sum is σ = 435678735744. Its totient is φ = 76204497600.

The previous prime is 212211101093. The next prime is 212211101161. The reversal of 212211101102 is 201101112212.

212211101102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2122111011022 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9560477 + ... + 9582647.

It is an arithmetic number, because the mean of its divisors is an integer number (4538320164).

Almost surely, 2212211101102 is an apocalyptic number.

212211101102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

212211101102 is an abundant number, since it is smaller than the sum of its proper divisors (223467634642).

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

212211101102 is a wasteful number, since it uses less digits than its factorization.

212211101102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22894 (or 22887 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 212211101102 its reverse (201101112212), we get a palindrome (413312213314).

It can be divided in two parts, 21221110 and 1102, that added together give a palindrome (21222212).

The spelling of 212211101102 in words is "two hundred twelve billion, two hundred eleven million, one hundred one thousand, one hundred two".

Divisors: 1 2 7 11 13 14 22 26 49 77 91 98 143 154 182 286 539 637 683 1001 1078 1274 1366 2002 4781 7007 7513 8879 9562 14014 15026 17758 22171 33467 44342 52591 62153 66934 97669 105182 124306 155197 195338 243881 288223 310394 368137 435071 487762 576446 683683 736274 870142 1086379 1367366 1707167 2017561 2172758 3170453 3414334 4035122 4785781 6340906 9571562 11950169 14122927 15142793 22193171 23900338 28245854 30285586 44386342 105999551 155352197 166570723 196856309 211999102 310704394 333141446 393712618 741996857 1165995061 1377994163 1483993714 2165419399 2331990122 2755988326 4330838798 8161965427 9645959141 15157935793 16323930854 19291918282 30315871586 106105550551 212211101102