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211221112102 = 271113611729591
BaseRepresentation
bin1100010010110111000…
…0100110010100100110
3202012012100210020111221
43010231300212110212
511430040101041402
6241011133250554
721155153554360
oct3045560462446
9665170706457
10211221112102
118163a8a1870
1234b29633a5a
1316bc1cb3490
14a31a4abd30
15576363d337
hex312dc26526

211221112102 has 64 divisors (see below), whose sum is σ = 432370326528. Its totient is φ = 74718288000.

The previous prime is 211221112097. The next prime is 211221112169. The reversal of 211221112102 is 201211122112.

211221112102 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2112211121022 (a number of 23 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 742674 + ... + 986917.

It is an arithmetic number, because the mean of its divisors is an integer number (6755786352).

Almost surely, 2211221112102 is an apocalyptic number.

211221112102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

211221112102 is an abundant number, since it is smaller than the sum of its proper divisors (221149214426).

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

211221112102 is a wasteful number, since it uses less digits than its factorization.

211221112102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729685.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211221112102 its reverse (201211122112), we get a palindrome (412432234214).

It can be divided in two parts, 211221 and 112102, that added together give a palindrome (323323).

The spelling of 211221112102 in words is "two hundred eleven billion, two hundred twenty-one million, one hundred twelve thousand, one hundred two".

Divisors: 1 2 7 11 13 14 22 26 61 77 91 122 143 154 182 286 427 671 793 854 1001 1342 1586 2002 4697 5551 8723 9394 11102 17446 61061 122122 1729591 3459182 12107137 19025501 22484683 24214274 38051002 44969366 105505051 133178507 157392781 211010102 247331513 266357014 314785562 494663026 738535357 1160555561 1371565663 1477070714 1731320591 2321111122 2743131326 3462641182 8123888927 9600959641 15087222293 16247777854 19201919282 30174444586 105610556051 211221112102