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11122133331 = 3292103127337
BaseRepresentation
bin10100101101110111…
…00100100101010011
31001201010020220200010
422112323210211103
5140234231231311
65035345530003
7542421400461
oct122673444523
931633226603
1011122133331
114798177431
1221a4943903
13108331a5aa
147771c3831
15451666da6
hex296ee4953

11122133331 has 48 divisors (see below), whose sum is σ = 15676104704. Its totient is φ = 7012873728.

The previous prime is 11122133327. The next prime is 11122133333. The reversal of 11122133331 is 13333122111.

It is a happy number.

It is not a de Polignac number, because 11122133331 - 22 = 11122133327 is a prime.

It is a super-2 number, since 2×111221333312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11122133298 and 11122133307.

It is not an unprimeable number, because it can be changed into a prime (11122133333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33003195 + ... + 33003531.

Almost surely, 211122133331 is an apocalyptic number.

11122133331 is a deficient number, since it is larger than the sum of its proper divisors (4553971373).

11122133331 is a wasteful number, since it uses less digits than its factorization.

11122133331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 599 counting only the distinct ones).

The product of its digits is 324, while the sum is 21.

Adding to 11122133331 its reverse (13333122111), we get a palindrome (24455255442).

It can be divided in two parts, 11122 and 133331, that added together give a triangular number (144453 = T537).

The spelling of 11122133331 in words is "eleven billion, one hundred twenty-two million, one hundred thirty-three thousand, three hundred thirty-one".

Divisors: 1 3 29 87 103 127 309 337 381 841 1011 2523 2987 3683 8961 9773 11049 13081 29319 34711 39243 42799 86623 104133 106807 128397 259869 283417 320421 379349 850251 1006619 1138047 1241171 3019857 3723513 4408297 11001121 13224891 29191951 33003363 35993959 87575853 107981877 127840613 383521839 3707377777 11122133331