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212200111111221 = 3210110327731126309
BaseRepresentation
bin110000001111111010110000…
…001111100111110000110101
31000211100010120121001212210200
4300033322300033213300311
5210303141311421024341
62031151215115111113
762460644366604462
oct6017726017476065
91024303517055720
10212200111111221
116168261a749902
121b971977a42499
1391535000019cc
143a5877c368669
15197ec2a080db6
hexc0feb03e7c35

212200111111221 has 96 divisors (see below), whose sum is σ = 314700259760640. Its totient is φ = 137755843776000.

The previous prime is 212200111111211. The next prime is 212200111111337. The reversal of 212200111111221 is 122111111002212.

It is a happy number.

212200111111221 is a `hidden beast` number, since 2 + 1 + 220 + 0 + 111 + 111 + 221 = 666.

It is a de Polignac number, because none of the positive numbers 2k-212200111111221 is a prime.

It is a super-2 number, since 2×2122001111112212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212200111111194 and 212200111111203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212200111111211) 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, 8065672015 + ... + 8065698323.

It is an arithmetic number, because the mean of its divisors is an integer number (3278127705840).

Almost surely, 2212200111111221 is an apocalyptic number.

It is an amenable number.

212200111111221 is a deficient number, since it is larger than the sum of its proper divisors (102500148649419).

212200111111221 is a wasteful number, since it uses less digits than its factorization.

212200111111221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27107 (or 27104 counting only the distinct ones).

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

Adding to 212200111111221 its reverse (122111111002212), we get a palindrome (334311222113433).

The spelling of 212200111111221 in words is "two hundred twelve trillion, two hundred billion, one hundred eleven million, one hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 9 101 103 277 303 309 311 831 909 927 933 2493 2799 10403 26309 27977 28531 31209 31411 32033 78927 83931 85593 86147 93627 94233 96099 236781 251793 256779 258441 282699 288297 775323 2657209 2709827 2881631 3235333 7287593 7971627 8129481 8182099 8644893 8700847 8873141 9705999 21862779 23914881 24388443 24546297 25934679 26102541 26619423 29117997 65588337 73638891 78307623 79858269 273692527 736046893 750622079 821077581 826391999 842756197 896187241 2208140679 2251866237 2266441423 2463232743 2479175997 2528268591 2688561723 6624422037 6755598711 6799324269 7437527991 7584805773 8065685169 20397972807 75812829979 85118375897 227438489937 228910583723 233443466569 255355127691 682315469811 686731751169 700330399707 766065383073 2060195253507 2100991199121 23577790123469 70733370370407 212200111111221