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21021112211121 = 3411109496743577
BaseRepresentation
bin1001100011110010110111…
…11011010001011010110001
32202102121011110020101020000
410301321123323101122301
510223402214211223441
6112412544324340213
74266503520426561
oct461713373213261
982377143211200
1021021112211121
1167750049076a0
122436047b44669
13b963894c1c99
145295da586da1
15266c19d122b6
hex131e5bed16b1

21021112211121 has 80 divisors (see below), whose sum is σ = 34578661898880. Its totient is φ = 12620355621120.

The previous prime is 21021112211059. The next prime is 21021112211137. The reversal of 21021112211121 is 12111221112012.

It is a happy number.

21021112211121 is a `hidden beast` number, since 210 + 2 + 111 + 221 + 1 + 121 = 666.

It is a de Polignac number, because none of the positive numbers 2k-21021112211121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21021112211094 and 21021112211103.

It is not an unprimeable number, because it can be changed into a prime (21021112211321) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 482368285 + ... + 482411861.

It is an arithmetic number, because the mean of its divisors is an integer number (432233273736).

Almost surely, 221021112211121 is an apocalyptic number.

It is an amenable number.

21021112211121 is a deficient number, since it is larger than the sum of its proper divisors (13557549687759).

21021112211121 is a wasteful number, since it uses less digits than its factorization.

21021112211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48676 (or 48667 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 21021112211121 its reverse (12111221112012), we get a palindrome (33132333323133).

The spelling of 21021112211121 in words is "twenty-one trillion, twenty-one billion, one hundred twelve million, two hundred eleven thousand, one hundred twenty-one".

Divisors: 1 3 9 11 27 33 81 99 109 297 327 891 981 1199 2943 3597 4967 8829 10791 14901 32373 43577 44703 54637 97119 130731 134109 163911 392193 402327 479347 491733 541403 1176579 1438041 1475199 1624209 3529737 4314123 4425597 4749893 4872627 5955433 12942369 14249679 14617881 17866299 38827107 42749037 43853643 52248823 53598897 128247111 156746469 160796691 216446959 384741333 470239407 482390073 649340877 1410718221 1948022631 2380916549 4232154663 5844067893 7142749647 17532203679 21428248941 23592718531 64284746823 70778155593 192854240469 212334466779 259519903841 637003400337 778559711523 1911010201011 2335679134569 7007037403707 21021112211121