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11431311234 = 237329191537
BaseRepresentation
bin10101010010101101…
…11111011110000010
31002111200000210000120
422221112333132002
5141402403424414
65130152401110
7553164354000
oct125126773602
932450023016
1011431311234
11493674a362
1222703a6196
1311023ac9b5
147a62a5a70
1546d88a2a9
hex2a95bf782

11431311234 has 64 divisors (see below), whose sum is σ = 27581472000. Its totient is φ = 3153448704.

The previous prime is 11431311233. The next prime is 11431311253. The reversal of 11431311234 is 43211313411.

It is a happy number.

It is a super-3 number, since 3×114313112343 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (11431311233) 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 31 ways as a sum of consecutive naturals, for example, 36087 + ... + 155450.

It is an arithmetic number, because the mean of its divisors is an integer number (430960500).

Almost surely, 211431311234 is an apocalyptic number.

11431311234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

11431311234 is an abundant number, since it is smaller than the sum of its proper divisors (16150160766).

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

11431311234 is a wasteful number, since it uses less digits than its factorization.

11431311234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191592 (or 191578 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

Adding to 11431311234 its reverse (43211313411), we get a palindrome (54642624645).

The spelling of 11431311234 in words is "eleven billion, four hundred thirty-one million, three hundred eleven thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 29 42 49 58 87 98 147 174 203 294 343 406 609 686 1029 1218 1421 2058 2842 4263 8526 9947 19894 29841 59682 191537 383074 574611 1149222 1340759 2681518 4022277 5554573 8044554 9385313 11109146 16663719 18770626 28155939 33327438 38882011 56311878 65697191 77764022 116646033 131394382 197091573 233292066 272174077 394183146 544348154 816522231 1633044462 1905218539 3810437078 5715655617 11431311234