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11040031431 = 33111329432293
BaseRepresentation
bin10100100100000100…
…11000001011000111
31001111101202201001000
422102002120023013
5140102222001211
65023254104343
7540403501362
oct122202301307
931441681030
1011040031431
1147558a0020
12218134b0b3
13106c3025a0
1476a3310d9
1544934a656
hex2920982c7

11040031431 has 128 divisors (see below), whose sum is σ = 20348697600. Its totient is φ = 5822046720.

The previous prime is 11040031423. The next prime is 11040031447. The reversal of 11040031431 is 13413004011.

It is not a de Polignac number, because 11040031431 - 23 = 11040031423 is a prime.

It is a super-2 number, since 2×110400314312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11040031481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4813521 + ... + 4815813.

It is an arithmetic number, because the mean of its divisors is an integer number (158974200).

Almost surely, 211040031431 is an apocalyptic number.

11040031431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11040031431 is a deficient number, since it is larger than the sum of its proper divisors (9308666169).

11040031431 is a wasteful number, since it uses less digits than its factorization.

11040031431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11040031431 its reverse (13413004011), we get a palindrome (24453035442).

The spelling of 11040031431 in words is "eleven billion, forty million, thirty-one thousand, four hundred thirty-one".

Divisors: 1 3 9 11 13 27 29 33 39 43 87 99 117 129 143 261 297 319 351 377 387 429 473 559 783 957 1131 1161 1247 1287 1419 1677 2293 2871 3393 3741 3861 4147 4257 5031 6149 6879 8613 10179 11223 12441 12771 13717 15093 16211 18447 20637 25223 29809 33669 37323 41151 48633 55341 61911 66497 75669 89427 98599 111969 123453 145899 166023 178321 199491 227007 268281 295797 327899 370359 437697 534963 598473 681021 731467 804843 864461 887391 983697 1084589 1281787 1604889 1795419 2194401 2593383 2662173 2859371 2951091 3253767 3845361 4814667 6583203 7780149 8578113 8853273 9509071 9761301 11536083 14099657 19749609 23340447 25734339 28527213 29283903 31453081 34608249 37171823 42298971 77203017 85581639 94359243 111515469 126896913 256744917 283077729 334546407 380690739 408890053 849233187 1003639221 1226670159 3680010477 11040031431