Search a number
-
+
2111122111221 = 34791013266479
BaseRepresentation
bin11110101110001000101…
…011101111101011110101
321110211011201200222120000
4132232020223233223311
5234042034230024341
64253500333301513
7305344400602554
oct36561053575365
97424151628500
102111122111221
1174435a438742
122a1196634899
131241023842c6
1474270ac9d9b
1539dad8778b6
hex1eb88aefaf5

2111122111221 has 40 divisors (see below), whose sum is σ = 3225191692800. Its totient is φ = 1375840533600.

The previous prime is 2111122111199. The next prime is 2111122111229. The reversal of 2111122111221 is 1221112211112.

It is a happy number.

2111122111221 is a `hidden beast` number, since 211 + 1 + 1 + 221 + 11 + 221 = 666.

It is not a de Polignac number, because 2111122111221 - 26 = 2111122111157 is a prime.

It is a super-2 number, since 2×21111221112212 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2111122111194 and 2111122111203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111122111229) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 986941 + ... + 2279538.

It is an arithmetic number, because the mean of its divisors is an integer number (80629792320).

Almost surely, 22111122111221 is an apocalyptic number.

It is an amenable number.

2111122111221 is a deficient number, since it is larger than the sum of its proper divisors (1114069581579).

2111122111221 is a wasteful number, since it uses less digits than its factorization.

2111122111221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3266671 (or 3266662 counting only the distinct ones).

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

Adding to 2111122111221 its reverse (1221112211112), we get a palindrome (3332234322333).

The spelling of 2111122111221 in words is "two trillion, one hundred eleven billion, one hundred twenty-two million, one hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 9 27 79 81 101 237 303 711 909 2133 2727 6399 7979 8181 23937 71811 215433 646299 3266479 9799437 29398311 88194933 258051841 264584799 329914379 774155523 989743137 2322466569 2969229411 6967399707 8907688233 20902199121 26063235941 26723064699 78189707823 234569123469 703707370407 2111122111221