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21220112011021 = 721131101111711257
BaseRepresentation
bin1001101001100101100010…
…01111010000111100001101
32210010121211002110122010021
410310302301033100330031
510240132242133323041
6113044215044542141
74320050105010400
oct464626117207415
983117732418107
1021220112011021
116841443028740
1224687246b1951
13bac081533b81
145350b78a7d37
1526beb5565cd1
hex134cb13d0f0d

21220112011021 has 96 divisors (see below), whose sum is σ = 28100192799744. Its totient is φ = 15827736960000.

The previous prime is 21220112011009. The next prime is 21220112011061. The reversal of 21220112011021 is 12011021102212.

It is not a de Polignac number, because 21220112011021 - 25 = 21220112010989 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21220112010986 and 21220112011004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21220112011061) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1885053625 + ... + 1885064881.

It is an arithmetic number, because the mean of its divisors is an integer number (292710341664).

Almost surely, 221220112011021 is an apocalyptic number.

It is an amenable number.

21220112011021 is a deficient number, since it is larger than the sum of its proper divisors (6880080788723).

21220112011021 is a wasteful number, since it uses less digits than its factorization.

21220112011021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12531 (or 12524 counting only the distinct ones).

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

Adding to 21220112011021 its reverse (12011021102212), we get a palindrome (33231133113233).

The spelling of 21220112011021 in words is "twenty-one trillion, two hundred twenty billion, one hundred twelve million, eleven thousand, twenty-one".

Divisors: 1 7 11 31 49 77 101 217 341 539 707 1111 1117 1519 2387 3131 4949 7777 7819 11257 12287 16709 21917 34441 34627 54439 54733 78799 86009 112817 123827 153419 241087 242389 348967 380897 551593 602063 789719 866789 1136957 1240987 1687609 1696723 2442769 2666279 3497327 3838637 5528033 6067523 7958699 8686909 12506527 12574069 17099383 18663953 24481289 26870459 35245667 38470597 55710893 60808363 87545689 88018483 138314759 171369023 188093213 246719669 269294179 387702337 389796139 612819823 616129381 968203313 1269980969 1727037683 1885059253 2713916359 2728572973 4287757529 6777423191 8889866783 13969790659 18997414513 19100010811 30014302703 39369410039 62229067481 97788534613 210100118921 275585870273 433063510429 684519742291 1929101091911 3031444573003 21220112011021