Search a number
-
+
12013431320 = 23511415911287
BaseRepresentation
bin10110011000000111…
…00110101000011000
31011000020101112122202
423030003212220120
5144100414300240
65304025305332
7603463324052
oct131403465030
934006345582
1012013431320
1151052a5840
1223b3335248
131195b88157
1481d7168d2
154a4a25315
hex2cc0e6a18

12013431320 has 128 divisors (see below), whose sum is σ = 30721420800. Its totient is φ = 4189363200.

The previous prime is 12013431319. The next prime is 12013431343. The reversal of 12013431320 is 2313431021.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12013431292 and 12013431301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1058717 + ... + 1070003.

It is an arithmetic number, because the mean of its divisors is an integer number (240011100).

Almost surely, 212013431320 is an apocalyptic number.

12013431320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12013431320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15360710400).

12013431320 is an abundant number, since it is smaller than the sum of its proper divisors (18707989480).

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

12013431320 is a wasteful number, since it uses less digits than its factorization.

12013431320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11409 (or 11405 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 12013431320 its reverse (2313431021), we get a palindrome (14326862341).

The spelling of 12013431320 in words is "twelve billion, thirteen million, four hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 41 44 55 59 82 88 110 118 164 205 220 236 295 328 410 440 451 472 590 649 820 902 1180 1298 1640 1804 2255 2360 2419 2596 3245 3608 4510 4838 5192 6490 9020 9676 11287 12095 12980 18040 19352 22574 24190 25960 26609 45148 48380 53218 56435 90296 96760 106436 112870 124157 133045 212872 225740 248314 266090 451480 462767 496628 532180 620785 665933 925534 993256 1064360 1241570 1331866 1851068 2313835 2483140 2663732 3329665 3702136 4627670 4966280 5090437 5327464 6659330 7325263 9255340 10180874 13318660 14650526 18510680 20361748 25452185 26637320 27303253 29301052 36626315 40723496 50904370 54606506 58602104 73252630 101808740 109213012 136516265 146505260 203617480 218426024 273032530 293010520 300335783 546065060 600671566 1092130120 1201343132 1501678915 2402686264 3003357830 6006715660 12013431320