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211222111112021 = 17273199313160739
BaseRepresentation
bin110000000001101011111010…
…111001101100101101010101
31000200212122012002112021220002
4300001223322321230231111
5210141130340421041041
62025122033121021045
762330202551016452
oct6001537271545525
91020778162467802
10211222111112021
11613358811a0159
121b834315784785
1390b220c888629
143a232c1aa2829
151964589e4859b
hexc01afae6cb55

211222111112021 has 48 divisors (see below), whose sum is σ = 229326214896000. Its totient is φ = 194464237473792.

The previous prime is 211222111112009. The next prime is 211222111112029. The reversal of 211222111112021 is 120211111222112.

It is a happy number.

It is not a de Polignac number, because 211222111112021 - 242 = 206824064600917 is a prime.

It is a super-2 number, since 2×2112221111120212 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 211222111111984 and 211222111112002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211222111112029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1313988470 + ... + 1314149208.

It is an arithmetic number, because the mean of its divisors is an integer number (4777629477000).

Almost surely, 2211222111112021 is an apocalyptic number.

It is an amenable number.

211222111112021 is a deficient number, since it is larger than the sum of its proper divisors (18104103783979).

211222111112021 is a wasteful number, since it uses less digits than its factorization.

211222111112021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161358 (or 161341 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 211222111112021 its reverse (120211111222112), we get a palindrome (331433222334133).

The spelling of 211222111112021 in words is "two hundred eleven trillion, two hundred twenty-two billion, one hundred eleven million, one hundred twelve thousand, twenty-one".

Divisors: 1 17 73 199 289 313 1241 3383 5321 14527 21097 22849 57511 62287 90457 160739 246959 388433 1058879 2732563 4198303 4546951 6603361 11733947 18000943 31987061 46453571 50311307 77298167 199477099 543780037 855292219 1314068839 2335055453 3391110683 3672725411 9244260629 10011950093 14539967723 39695942701 62436331987 170203151581 674831025917 730872356789 1061417643779 2893453576877 12424830065413 211222111112021