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11213323011 = 32112113293311
BaseRepresentation
bin10100111000101110…
…11011101100000011
31001221110211211101200
422130113123230003
5140431102314021
65052404232243
7544606446552
oct123427335403
931843754350
1011213323011
1148346a0600
12220b39b683
131099197b97
1478535dd99
1545967b126
hex29c5dbb03

11213323011 has 72 divisors (see below), whose sum is σ = 18080139168. Its totient is φ = 6691238400.

The previous prime is 11213322941. The next prime is 11213323013. The reversal of 11213323011 is 11032331211.

11213323011 is a `hidden beast` number, since 11 + 21 + 332 + 301 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2k-11213323011 is a prime.

It is a super-2 number, since 2×112133230112 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11213323013) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36055546 + ... + 36055856.

It is an arithmetic number, because the mean of its divisors is an integer number (251113044).

Almost surely, 211213323011 is an apocalyptic number.

11213323011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11213323011 is a deficient number, since it is larger than the sum of its proper divisors (6866816157).

11213323011 is a wasteful number, since it uses less digits than its factorization.

11213323011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11213323011 its reverse (11032331211), we get a palindrome (22245654222).

The spelling of 11213323011 in words is "eleven billion, two hundred thirteen million, three hundred twenty-three thousand, eleven".

Divisors: 1 3 9 11 33 99 113 121 293 311 339 363 879 933 1017 1089 1243 2637 2799 3223 3421 3729 9669 10263 11187 13673 29007 30789 33109 35143 35453 37631 41019 91123 99327 105429 106359 112893 123057 273369 297981 316287 319077 338679 364199 386573 820107 1002353 1092597 1159719 3007059 3277791 3479157 4006189 4252303 9021177 10296899 11025883 12018567 12756909 30890697 33077649 36055701 38270727 92672091 99232947 113265889 339797667 1019393001 1245924779 3737774337 11213323011