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21112212100122 = 23311134166683761
BaseRepresentation
bin1001100110011100100011…
…11001110001010000011010
32202202022022100202020102000
410303032101321301100122
510231400302244200442
6112522452155221430
74306210203624603
oct463162171612032
982668270666360
1021112212100122
1167aa703377660
12244b831147876
13ba1b47156550
1452db9d594daa
1526929ca01d4c
hex133391e7141a

21112212100122 has 128 divisors (see below), whose sum is σ = 56462474960640. Its totient is φ = 5761476864000.

The previous prime is 21112212100117. The next prime is 21112212100151. The reversal of 21112212100122 is 22100121221112.

21112212100122 is a `hidden beast` number, since 2 + 111 + 221 + 210 + 0 + 122 = 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 = 21112212100095 and 21112212100104.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33025279 + ... + 33658482.

It is an arithmetic number, because the mean of its divisors is an integer number (441113085630).

Almost surely, 221112212100122 is an apocalyptic number.

21112212100122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

21112212100122 is an abundant number, since it is smaller than the sum of its proper divisors (35350262860518).

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

21112212100122 is a wasteful number, since it uses less digits than its factorization.

21112212100122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66683837 (or 66683831 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21112212100122 its reverse (22100121221112), we get a palindrome (43212333321234).

The spelling of 21112212100122 in words is "twenty-one trillion, one hundred twelve billion, two hundred twelve million, one hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 41 54 66 78 82 99 117 123 143 198 234 246 286 297 351 369 429 451 533 594 702 738 858 902 1066 1107 1287 1353 1599 2214 2574 2706 3198 3861 4059 4797 5863 7722 8118 9594 11726 12177 14391 17589 24354 28782 35178 52767 105534 158301 316602 66683761 133367522 200051283 400102566 600153849 733521371 866888893 1200307698 1467042742 1733777786 1800461547 2200564113 2600666679 2734034201 3600923094 4401128226 5201333358 5468068402 6601692339 7802000037 8202102603 9535777823 13203384678 15604000074 16404205206 19071555646 19805077017 23406000111 24606307809 28607333469 30074376211 35542444613 39610154034 46812000222 49212615618 57214666938 60148752422 71084889226 73818923427 85822000407 90223128633 106627333839 147637846854 171644000814 180446257266 213254667678 257466001221 270669385899 319882001517 390966890743 514932002442 541338771798 639764003034 781933781486 812008157697 959646004551 1172900672229 1624016315394 1919292009102 2345801344458 3518702016687 7037404033374 10556106050061 21112212100122