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31113013100 = 225213231815749
BaseRepresentation
bin11100111110011110…
…101110011101101100
32222022022121211022112
4130332132232131230
51002204412404400
622143151503152
72151003151001
oct347636563554
988268554275
1031113013100
1112216537274
126043827ab8
132c1ab50c30
1417121b38a8
15c216d0835
hex73e7ae76c

31113013100 has 144 divisors (see below), whose sum is σ = 76302408000. Its totient is φ = 10925798400.

The previous prime is 31113013093. The next prime is 31113013147. The reversal of 31113013100 is 131031113.

It is a happy number.

It is a super-2 number, since 2×311130131002 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5409026 + ... + 5414774.

Almost surely, 231113013100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31113013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38151204000).

31113013100 is an abundant number, since it is smaller than the sum of its proper divisors (45189394900).

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

31113013100 is a wasteful number, since it uses less digits than its factorization.

31113013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5980 (or 5973 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 31113013100 its reverse (131031113), we get a palindrome (31244044213).

The spelling of 31113013100 in words is "thirty-one billion, one hundred thirteen million, thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 23 25 26 46 50 52 65 92 100 115 130 181 230 260 299 325 362 460 575 598 650 724 905 1150 1196 1300 1495 1810 2300 2353 2990 3620 4163 4525 4706 5749 5980 7475 8326 9050 9412 11498 11765 14950 16652 18100 20815 22996 23530 28745 29900 41630 47060 54119 57490 58825 74737 83260 104075 108238 114980 117650 132227 143725 149474 208150 216476 235300 264454 270595 287450 298948 373685 416300 528908 541190 574900 661135 747370 1040569 1082380 1322270 1352975 1494740 1718951 1868425 2081138 2644540 2705950 3305675 3437902 3736850 4162276 5202845 5411900 6611350 6875804 7473700 8594755 10405690 13222700 13527397 17189510 20811380 23933087 26014225 27054794 34379020 42973775 47866174 52028450 54109588 67636985 85947550 95732348 104056900 119665435 135273970 171895100 239330870 270547940 311130131 338184925 478661740 598327175 622260262 676369850 1196654350 1244520524 1352739700 1555650655 2393308700 3111301310 6222602620 7778253275 15556506550 31113013100