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11232311013 = 3372114631667
BaseRepresentation
bin10100111010111111…
…10111011011100101
31001222210120112001000
422131133313123211
5141000432423023
65054323223513
7545230032300
oct123537673345
931883515030
1011232311013
11484438a570
122215817b99
1310a00b57a1
14787aa3b37
1545b17c243
hex29d7f76e5

11232311013 has 96 divisors (see below), whose sum is σ = 21175326720. Its totient is φ = 5818871520.

The previous prime is 11232310961. The next prime is 11232311023. The reversal of 11232311013 is 31011323211.

It is not a de Polignac number, because 11232311013 - 28 = 11232310757 is a prime.

It is a super-2 number, since 2×112323110132 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11232311023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6737206 + ... + 6738872.

It is an arithmetic number, because the mean of its divisors is an integer number (220576320).

Almost surely, 211232311013 is an apocalyptic number.

It is an amenable number.

11232311013 is a deficient number, since it is larger than the sum of its proper divisors (9943015707).

11232311013 is a wasteful number, since it uses less digits than its factorization.

11232311013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164 (or 2151 counting only the distinct ones).

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

Adding to 11232311013 its reverse (31011323211), we get a palindrome (42243634224).

The spelling of 11232311013 in words is "eleven billion, two hundred thirty-two million, three hundred eleven thousand, thirteen".

Divisors: 1 3 7 9 11 21 27 33 49 63 77 99 147 189 231 297 441 463 539 693 1323 1389 1617 1667 2079 3241 4167 4851 5001 5093 9723 11669 12501 14553 15003 15279 18337 22687 29169 35007 35651 45009 45837 55011 68061 81683 87507 105021 106953 128359 137511 165033 204183 245049 249557 315063 320859 385077 495099 612549 735147 748671 771821 898513 962577 1155231 2205441 2246013 2315463 2695539 3465693 5402747 6738039 6946389 8086617 8490031 16208241 20839167 24259851 25470093 37819229 48624723 59430217 76410279 113457687 145874169 178290651 229230837 340373061 416011519 534871953 1021119183 1248034557 1604615859 3744103671 11232311013