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2122111122021 = 341159177722717
BaseRepresentation
bin11110111000010111101…
…011011111101001100101
321111212112120110120110000
4132320113223133221211
5234232040421401041
64302515010051513
7306213614626122
oct36702753375145
97455476416400
102122111122021
11748a89450150
122a3342879b99
13125163c31a67
14749d4339749
153a303495bb6
hex1ee17adfa65

2122111122021 has 80 divisors (see below), whose sum is σ = 3519003660480. Its totient is φ = 1263562053120.

The previous prime is 2122111121989. The next prime is 2122111122029. The reversal of 2122111122021 is 1202211112212.

2122111122021 is a `hidden beast` number, since 212 + 211 + 1 + 1 + 220 + 21 = 666.

It is not a de Polignac number, because 2122111122021 - 25 = 2122111121989 is a prime.

It is a super-2 number, since 2×21221111220212 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2122111121985 and 2122111122003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122111122029) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 93403755 + ... + 93426471.

It is an arithmetic number, because the mean of its divisors is an integer number (43987545756).

Almost surely, 22122111122021 is an apocalyptic number.

It is an amenable number.

2122111122021 is a deficient number, since it is larger than the sum of its proper divisors (1396892538459).

2122111122021 is a wasteful number, since it uses less digits than its factorization.

2122111122021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24576 (or 24567 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 2122111122021 its reverse (1202211112212), we get a palindrome (3324322234233).

The spelling of 2122111122021 in words is "two trillion, one hundred twenty-two billion, one hundred eleven million, one hundred twenty-two thousand, twenty-one".

Divisors: 1 3 9 11 27 33 59 81 99 177 297 531 649 891 1593 1777 1947 4779 5331 5841 15993 17523 19547 22717 47979 52569 58641 68151 104843 143937 175923 204453 249887 314529 527769 613359 749661 943587 1153273 1340303 1583307 1840077 2248983 2830761 3459819 4020909 6746949 8492283 10379457 12062727 14743333 20240847 31138371 36188181 40368109 44229999 93415113 108564543 121104327 132689997 363312981 398069991 444049199 1089938943 1194209973 1332147597 2381718431 3269816829 3996442791 7145155293 11989328373 21435465879 26198902741 35967985119 64306397637 78596708223 192919192911 235790124669 707370374007 2122111122021