Search a number
-
+
12530442320 = 24511235311681
BaseRepresentation
bin10111010101101111…
…10110000001010000
31012100021020102102022
423222313312001100
5201130243123240
65431214511012
7622342000544
oct135267660120
935307212368
1012530442320
115350120860
122518505468
131249018016
1486c259a24
154d50ed9b5
hex2eadf6050

12530442320 has 160 divisors (see below), whose sum is σ = 33792194304. Its totient is φ = 4275814400.

The previous prime is 12530442317. The next prime is 12530442349. The reversal of 12530442320 is 2324403521.

12530442320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12530442320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1066880 + ... + 1078560.

Almost surely, 212530442320 is an apocalyptic number.

12530442320 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 12530442320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16896097152).

12530442320 is an abundant number, since it is smaller than the sum of its proper divisors (21261751984).

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

12530442320 is a wasteful number, since it uses less digits than its factorization.

12530442320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11781 (or 11775 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 12530442320 its reverse (2324403521), we get a palindrome (14854845841).

The spelling of 12530442320 in words is "twelve billion, five hundred thirty million, four hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 40 44 46 53 55 80 88 92 106 110 115 176 184 212 220 230 253 265 368 424 440 460 506 530 583 848 880 920 1012 1060 1166 1219 1265 1840 2024 2120 2332 2438 2530 2915 4048 4240 4664 4876 5060 5830 6095 9328 9752 10120 11660 11681 12190 13409 19504 20240 23320 23362 24380 26818 46640 46724 48760 53636 58405 67045 93448 97520 107272 116810 128491 134090 186896 214544 233620 256982 268180 268663 467240 513964 536360 537326 619093 642455 934480 1027928 1072720 1074652 1238186 1284910 1343315 2055856 2149304 2476372 2569820 2686630 2955293 3095465 4298608 4952744 5139640 5373260 5910586 6190930 6810023 9905488 10279280 10746520 11821172 12381860 13620046 14239139 14776465 21493040 23642344 24763720 27240092 28478278 29552930 34050115 47284688 49527440 54480184 56956556 59105860 68100230 71195695 108960368 113913112 118211720 136200460 142391390 156630529 227826224 236423440 272400920 284782780 313261058 544801840 569565560 626522116 783152645 1139131120 1253044232 1566305290 2506088464 3132610580 6265221160 12530442320