Search a number
-
+
1111133334222 = 23217103244714407
BaseRepresentation
bin10000001010110100101…
…101010010101011001110
310221020000210101202010200
4100022310231102223032
5121201100113143342
62210240403314330
7143163630335622
oct20126455225316
93836023352120
101111133334222
1139925788885a
1215b41837b9a6
1380a19517bc2
143bac9d65182
151dd830cb94c
hex102b4b52ace

1111133334222 has 96 divisors (see below), whose sum is σ = 2575049398272. Its totient is φ = 345041448192.

The previous prime is 1111133334187. The next prime is 1111133334229. The reversal of 1111133334222 is 2224333311111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111133334229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77117343 + ... + 77131749.

It is an arithmetic number, because the mean of its divisors is an integer number (26823431232).

Almost surely, 21111133334222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1111133334222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287524699136).

1111133334222 is an abundant number, since it is smaller than the sum of its proper divisors (1463916064050).

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

1111133334222 is a wasteful number, since it uses less digits than its factorization.

1111133334222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16982 (or 16979 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 1111133334222 its reverse (2224333311111), we get a palindrome (3335466645333).

The spelling of 1111133334222 in words is "one trillion, one hundred eleven billion, one hundred thirty-three million, three hundred thirty-four thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 103 153 206 306 309 618 927 1751 1854 2447 3502 4894 5253 7341 10506 14407 14682 15759 22023 28814 31518 41599 43221 44046 83198 86442 124797 129663 244919 249594 252041 259326 374391 489838 504082 734757 748782 756123 1469514 1483921 1512246 2204271 2268369 2967842 4284697 4408542 4451763 4536738 8569394 8903526 12854091 13355289 25226657 25708182 26710578 35253929 38562273 50453314 70507858 75679971 77124546 105761787 151359942 211523574 227039913 317285361 454079826 599316793 634570722 1198633586 1797950379 3595900758 3631154687 5393851137 7262309374 10787702274 10893464061 21786928122 32680392183 61729629679 65360784366 123459259358 185188889037 370377778074 555566667111 1111133334222