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211211112021021 = 327101142547232861
BaseRepresentation
bin110000000001100001101011…
…010011011111110000011101
31000200211120210112210120120100
4300001201223103133300131
5210140440324134133041
62025113013444211313
762326333152210660
oct6001415323376035
91020746715716510
10211211112021021
1161331147523302
121b832166099b39
1390b1178bbb968
143a2295ad8b6d7
1519641444d86b6
hexc0186b4dfc1d

211211112021021 has 48 divisors (see below), whose sum is σ = 352122083284608. Its totient is φ = 119495741616000.

The previous prime is 211211112020999. The next prime is 211211112021113. The reversal of 211211112021021 is 120120211112112.

It is a happy number.

211211112021021 is a `hidden beast` number, since 211 + 211 + 1 + 12 + 0 + 210 + 21 = 666.

It is not a de Polignac number, because 211211112021021 - 223 = 211211103632413 is a prime.

It is a super-2 number, since 2×2112111120210212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211211112020985 and 211211112021003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211211112021121) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 906910131 + ... + 907142991.

It is an arithmetic number, because the mean of its divisors is an integer number (7335876735096).

Almost surely, 2211211112021021 is an apocalyptic number.

211211112021021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211211112021021 is a deficient number, since it is larger than the sum of its proper divisors (140910971263587).

211211112021021 is a wasteful number, since it uses less digits than its factorization.

211211112021021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375522 (or 375519 counting only the distinct ones).

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

Adding to 211211112021021 its reverse (120120211112112), we get a palindrome (331331323133133).

The spelling of 211211112021021 in words is "two hundred eleven trillion, two hundred eleven billion, one hundred twelve million, twenty-one thousand, twenty-one".

Divisors: 1 3 7 9 21 63 101 303 707 909 2121 6363 142547 232861 427641 698583 997829 1282923 1630027 2095749 2993487 4890081 8980461 14397247 14670243 23518961 43191741 70556883 100780729 129575223 164632727 211670649 302342187 493898181 907026561 1481694543 33193636967 99580910901 232355458769 298742732703 697066376307 2091199128921 3352557333667 10057672001001 23467901335669 30173016003003 70403704007007 211211112021021