Search a number
-
+
24131130012 = 223311171194847
BaseRepresentation
bin10110011110010100…
…111101001010011100
32022021201222102021000
4112132110331022130
5343410032130022
615030301510300
71512664135503
oct263624751234
968251872230
1024131130012
11a263437160
124815572390
13237751c272
14124cc1183a
159637946ac
hex59e53d29c

24131130012 has 96 divisors (see below), whose sum is σ = 72264407040. Its totient is φ = 6882312960.

The previous prime is 24131129989. The next prime is 24131130013. The reversal of 24131130012 is 21003113142.

24131130012 is a `hidden beast` number, since 2 + 41 + 311 + 300 + 12 = 666.

It is a super-2 number, since 2×241311300122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24131130013) 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, 577228 + ... + 617619.

It is an arithmetic number, because the mean of its divisors is an integer number (752754240).

Almost surely, 224131130012 is an apocalyptic number.

24131130012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

24131130012 is an abundant number, since it is smaller than the sum of its proper divisors (48133277028).

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

24131130012 is a wasteful number, since it uses less digits than its factorization.

24131130012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194888 (or 1194880 counting only the distinct ones).

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

Adding to 24131130012 its reverse (21003113142), we get a palindrome (45134243154).

The spelling of 24131130012 in words is "twenty-four billion, one hundred thirty-one million, one hundred thirty thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 27 33 34 36 44 51 54 66 68 99 102 108 132 153 187 198 204 297 306 374 396 459 561 594 612 748 918 1122 1188 1683 1836 2244 3366 5049 6732 10098 20196 1194847 2389694 3584541 4779388 7169082 10753623 13143317 14338164 20312399 21507246 26286634 32260869 39429951 40624798 43014492 52573268 60937197 64521738 78859902 81249596 118289853 121874394 129043476 157719804 182811591 223436389 236579706 243748788 354869559 365623182 446872778 473159412 548434773 670309167 709739118 731246364 893745556 1096869546 1340618334 1419478236 2010927501 2193739092 2681236668 4021855002 6032782503 8043710004 12065565006 24131130012