Search a number
-
+
12301123221320 = 23510926313038233
BaseRepresentation
bin1011001100000001010000…
…0101000111011101001000
31121112222100102112200112012
42303000110011013131020
53103020200021040240
642055020305435052
72406504205114523
oct263002405073510
947488312480465
1012301123221320
113a1297140698a
12146805933ba88
136b2cb613c89b
1430753dd85bba
15164ea9000b65
hexb3014147748

12301123221320 has 128 divisors (see below), whose sum is σ = 28062578649600. Its totient is φ = 4852453423104.

The previous prime is 12301123221239. The next prime is 12301123221323. The reversal of 12301123221320 is 2312232110321.

It is not an unprimeable number, because it can be changed into a prime (12301123221323) by changing a digit.

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, 1494119924 + ... + 1494128156.

It is an arithmetic number, because the mean of its divisors is an integer number (219238895700).

Almost surely, 212301123221320 is an apocalyptic number.

12301123221320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12301123221320 is an abundant number, since it is smaller than the sum of its proper divisors (15761455428280).

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

12301123221320 is a wasteful number, since it uses less digits than its factorization.

12301123221320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9919 (or 9915 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 12301123221320 its reverse (2312232110321), we get a palindrome (14613355331641).

The spelling of 12301123221320 in words is "twelve trillion, three hundred one billion, one hundred twenty-three million, two hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 109 218 263 436 526 545 872 1052 1090 1303 1315 2104 2180 2606 2630 4360 5212 5260 6515 8233 10424 10520 13030 16466 26060 28667 32932 41165 52120 57334 65864 82330 114668 142027 143335 164660 229336 284054 286670 329320 342689 568108 573340 685378 710135 897397 1136216 1146680 1370756 1420270 1713445 1794794 2165279 2741512 2840540 3426890 3589588 4330558 4486985 5681080 6853780 7179176 8661116 8973970 10727599 10826395 13707560 17322232 17947940 21455198 21652790 35895880 37353101 42910396 43305580 53637995 74706202 85820792 86611160 107275990 149412404 186765505 214551980 236015411 298824808 373531010 429103960 472030822 747062020 944061644 1169308291 1180077055 1494124040 1888123288 2338616582 2360154110 2821358537 4677233164 4720308220 5642717074 5846541455 9354466328 9440616440 11285434148 11693082910 14106792685 22570868296 23386165820 28213585370 46772331640 56427170740 112854341480 307528080533 615056161066 1230112322132 1537640402665 2460224644264 3075280805330 6150561610660 12301123221320