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211122100020222 = 2342082916256741
BaseRepresentation
bin110000000000001110110001…
…110001101010001111111110
31000200112002001011000102120000
4300000032301301222033332
5210133011030101121342
62025004053120135130
762320032310533366
oct6000166161521776
91020462034012500
10211122100020222
11612a741a579686
121b818a641674a6
1390a59619943c1
143a1c5153959a6
151961b84c6c44c
hexc003b1c6a3fe

211122100020222 has 40 divisors (see below), whose sum is σ = 473072237593032. Its totient is φ = 70373684228400.

The previous prime is 211122100020211. The next prime is 211122100020319. The reversal of 211122100020222 is 222020001221112.

It is a happy number.

211122100020222 is a `hidden beast` number, since 211 + 1 + 2 + 210 + 0 + 0 + 20 + 222 = 666.

It is a super-2 number, since 2×2111221000202222 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211122100020195 and 211122100020204.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 30614772 + ... + 36871512.

Almost surely, 2211122100020222 is an apocalyptic number.

211122100020222 is an abundant number, since it is smaller than the sum of its proper divisors (261950137572810).

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

211122100020222 is a wasteful number, since it uses less digits than its factorization.

211122100020222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6465046 (or 6465037 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 211122100020222 its reverse (222020001221112), we get a palindrome (433142101241334).

The spelling of 211122100020222 in words is "two hundred eleven trillion, one hundred twenty-two billion, one hundred million, twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 208291 416582 624873 1249746 1874619 3749238 5623857 6256741 11247714 12513482 16871571 18770223 33743142 37540446 56310669 112621338 168932007 337864014 506796021 1013592042 1303222839631 2606445679262 3909668518893 7819337037786 11729005556679 23458011113358 35187016670037 70374033340074 105561050010111 211122100020222