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21111202102221 = 32721128370121937
BaseRepresentation
bin1001100110011010101011…
…01100111011101111001101
32202202012200222021000202100
410303031111230323233031
510231341220214232341
6112522204035345313
74306143161033400
oct463152554735715
982665628230670
1021111202102221
1167aa235245250
12244b5aaa52239
13ba1a15b2875a
1452db053a3d37
1526923dee83b6
hex133355b3bbcd

21111202102221 has 144 divisors (see below), whose sum is σ = 38891253256128. Its totient is φ = 10912019328000.

The previous prime is 21111202102219. The next prime is 21111202102241. The reversal of 21111202102221 is 12220120211112.

21111202102221 is a `hidden beast` number, since 2 + 111 + 120 + 210 + 2 + 221 = 666.

It is not a de Polignac number, because 21111202102221 - 21 = 21111202102219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21111202102194 and 21111202102203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21111202102241) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 962344965 + ... + 962366901.

It is an arithmetic number, because the mean of its divisors is an integer number (270078147612).

Almost surely, 221111202102221 is an apocalyptic number.

21111202102221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21111202102221 is a deficient number, since it is larger than the sum of its proper divisors (17780051153907).

21111202102221 is a wasteful number, since it uses less digits than its factorization.

21111202102221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22952 (or 22942 counting only the distinct ones).

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

Adding to 21111202102221 its reverse (12220120211112), we get a palindrome (33331322313333).

The spelling of 21111202102221 in words is "twenty-one trillion, one hundred eleven billion, two hundred two million, one hundred two thousand, two hundred twenty-one".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 147 231 283 441 539 693 701 849 1617 1981 2103 2547 3113 4851 4907 5943 6309 7711 9339 13867 14721 17829 21791 21937 23133 28017 34349 41601 44163 53977 65373 65811 69399 103047 124803 152537 153559 161931 196119 197433 198383 241307 309141 377839 457611 460677 485793 595149 723921 1074913 1133517 1372833 1382031 1388681 1689149 1785447 2171763 2182213 3224739 3400551 4166043 5067447 6208171 6546639 9674217 9720767 11824043 12498129 15202341 15275491 15377837 18624513 19639917 29162301 35472129 43457197 45826473 46133511 55873539 68289881 87486903 106416387 106928437 107644859 130371591 137479419 138400533 169156207 204869643 304200379 320785311 322934577 391114773 478029167 507468621 614608929 753514013 912601137 962355933 968803731 1184093449 1434087501 1522405863 2260542039 2737803411 3346204169 3552280347 4302262503 4351927871 6781626117 8288654143 10038612507 10656841041 13055783613 24865962429 30115837521 30463495097 39167350839 47871206581 74597887287 91390485291 143613619743 213244465679 274171455873 335098446067 430840859229 639733397037 1005295338201 1919200191111 2345689122469 3015886014603 7037067367407 21111202102221