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211221222210220 = 225731371163907997
BaseRepresentation
bin110000000001101011000101…
…111010110011101010101100
31000200212112220010220101212011
4300001223011322303222230
5210141122030341211340
62025121405004451004
762330141535333145
oct6001530572635254
91020775803811764
10211221222210220
1161335465459072
121b834107b49a64
1390b20ca679631
143a232399d4acc
151964536db00ea
hexc01ac5eb3aac

211221222210220 has 96 divisors (see below), whose sum is σ = 453312785959488. Its totient is φ = 82651636150272.

The previous prime is 211221222210169. The next prime is 211221222210263. The reversal of 211221222210220 is 22012222122112.

It is a super-2 number, since 2×2112212222102202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211221222210191 and 211221222210200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232169262 + ... + 233077258.

It is an arithmetic number, because the mean of its divisors is an integer number (4722008187078).

Almost surely, 2211221222210220 is an apocalyptic number.

211221222210220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211221222210220 is an abundant number, since it is smaller than the sum of its proper divisors (242091563749268).

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

211221222210220 is a wasteful number, since it uses less digits than its factorization.

211221222210220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909379 (or 909377 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 211221222210220 its reverse (22012222122112), we get a palindrome (233233444332332).

The spelling of 211221222210220 in words is "two hundred eleven trillion, two hundred twenty-one billion, two hundred twenty-two million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 73 137 146 274 292 365 548 685 730 1163 1370 1460 2326 2740 4652 5815 10001 11630 20002 23260 40004 50005 84899 100010 159331 169798 200020 318662 339596 424495 637324 796655 848990 907997 1593310 1697980 1815994 3186620 3631988 4539985 9079970 11631163 18159940 23262326 46524652 58155815 66283781 116311630 124395589 132567562 232623260 248791178 265135124 331418905 497582356 621977945 662837810 1056000511 1243955890 1325675620 2112001022 2487911780 4224002044 5280002555 9080877997 10560005110 18161755994 21120010220 36323511988 45404389985 77088037303 90808779970 144672070007 154176074606 181617559940 289344140014 308352149212 385440186515 578688280028 723360350035 770880373030 1446720700070 1541760746060 2893441400140 10561061110511 21122122221022 42244244442044 52805305552555 105610611105110 211221222210220