Search a number
-
+
12303870268360 = 23511375912809593
BaseRepresentation
bin1011001100001011011111…
…0100010001001111001000
31121120020102212121010122011
42303002313310101033020
53103041311242041420
642100153040305304
72406632242456156
oct263026764211710
947506385533564
1012303870268360
113a14051006aa0
1214686a5312234
136b33332b95c8
14307720b443d6
151650ba27a95a
hexb30b7d113c8

12303870268360 has 128 divisors (see below), whose sum is σ = 31542344265600. Its totient is φ = 4279428495360.

The previous prime is 12303870268253. The next prime is 12303870268369. The reversal of 12303870268360 is 6386207830321.

It is not an unprimeable number, because it can be changed into a prime (12303870268369) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5444277 + ... + 7365316.

It is an arithmetic number, because the mean of its divisors is an integer number (246424564575).

Almost surely, 212303870268360 is an apocalyptic number.

12303870268360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12303870268360 is an abundant number, since it is smaller than the sum of its proper divisors (19238473997240).

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

12303870268360 is a wasteful number, since it uses less digits than its factorization.

12303870268360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12809711 (or 12809707 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 49.

The spelling of 12303870268360 in words is "twelve trillion, three hundred three billion, eight hundred seventy million, two hundred sixty-eight thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 37 40 44 55 59 74 88 110 118 148 185 220 236 295 296 370 407 440 472 590 649 740 814 1180 1298 1480 1628 2035 2183 2360 2596 3245 3256 4070 4366 5192 6490 8140 8732 10915 12980 16280 17464 21830 24013 25960 43660 48026 87320 96052 120065 192104 240130 480260 960520 12809593 25619186 51238372 64047965 102476744 128095930 140905523 256191860 281811046 473954941 512383720 563622092 704527615 755765987 947909882 1127244184 1409055230 1511531974 1895819764 2369774705 2818110460 3023063948 3778829935 3791639528 4739549410 5213504351 5636220920 6046127896 7557659870 8313425857 9479098820 10427008702 15115319740 16626851714 18958197640 20854017404 26067521755 27963341519 30230639480 33253703428 41567129285 41708034808 52135043510 55926683038 66507406856 83134258570 104270087020 111853366076 139816707595 166268517140 208540174040 223706732152 279633415190 307596756709 332537034280 559266830380 615193513418 1118533660760 1230387026836 1537983783545 2460774053672 3075967567090 6151935134180 12303870268360