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21221122211214 = 23173112768717691
BaseRepresentation
bin1001101001100111011010…
…11100110111110110001110
32210010201102111100010021020
410310303231130313312032
510240141324241224324
6113044503213015010
74320114122403432
oct464635534676616
983121374303236
1021221122211214
116841911289032
122468966a84466
13bac1b2902a73
14535171b0c9c2
1526c0240ae679
hex134ced737d8e

21221122211214 has 128 divisors (see below), whose sum is σ = 46766635352064. Its totient is φ = 6390353088000.

The previous prime is 21221122211213. The next prime is 21221122211251. The reversal of 21221122211214 is 41211222112212.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21221122211213) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2759211109 + ... + 2759218799.

It is an arithmetic number, because the mean of its divisors is an integer number (365364338688).

Almost surely, 221221122211214 is an apocalyptic number.

21221122211214 is an abundant number, since it is smaller than the sum of its proper divisors (25545513140850).

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

21221122211214 is a wasteful number, since it uses less digits than its factorization.

21221122211214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14742.

The product of its digits is 512, while the sum is 24.

Adding to 21221122211214 its reverse (41211222112212), we get a palindrome (62432344323426).

The spelling of 21221122211214 in words is "twenty-one trillion, two hundred twenty-one billion, one hundred twenty-two million, two hundred eleven thousand, two hundred fourteen".

Divisors: 1 2 3 6 17 31 34 51 62 93 102 127 186 254 381 527 762 1054 1581 2159 3162 3937 4318 6477 6871 7691 7874 11811 12954 13742 15382 20613 23073 23622 41226 46146 66929 116807 130747 133858 200787 213001 233614 238421 261494 350421 392241 401574 426002 476842 639003 700842 715263 784482 872617 976757 1278006 1430526 1745234 1953514 2617851 2930271 3621017 4053157 5235702 5860542 7242034 8106314 10863051 12159471 14834489 16604869 21726102 24318942 27051127 29668978 30279467 33209738 44503467 49814607 52844861 54102254 60558934 81153381 89006934 90838401 99629214 105689722 158534583 162306762 181676802 317069166 459869159 514750939 898362637 919738318 1029501878 1379607477 1544252817 1638190691 1796725274 2695087911 2759214954 3088505634 3276381382 4914572073 5390175822 6711297347 9829144146 13422594694 20133892041 27849241747 40267784082 55698483494 83547725241 114092054899 167095450482 208050217757 228184109798 342276164697 416100435514 624150653271 684552329394 1248301306542 3536853701869 7073707403738 10610561105607 21221122211214