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12413351320 = 23519121713421
BaseRepresentation
bin10111000111110010…
…01011010110011000
31012001002220120202121
423203321023112120
5200410304220240
65411433111024
7616420513426
oct134371132630
935032816677
1012413351320
1152a0016637
1224a5258474
13122a99c1c6
1485a89a116
154c9bc004a
hex2e3e4b598

12413351320 has 64 divisors (see below), whose sum is σ = 29426392800. Its totient is φ = 4699791360.

The previous prime is 12413351311. The next prime is 12413351323. The reversal of 12413351320 is 2315331421.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12413351323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 918210 + ... + 931630.

Almost surely, 212413351320 is an apocalyptic number.

12413351320 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 12413351320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14713196400).

12413351320 is an abundant number, since it is smaller than the sum of its proper divisors (17013041480).

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

12413351320 is a wasteful number, since it uses less digits than its factorization.

12413351320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14668 (or 14664 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 12413351320 its reverse (2315331421), we get a palindrome (14728682741).

It can be divided in two parts, 1241 and 3351320, that added together give a square (3352561 = 18312).

The spelling of 12413351320 in words is "twelve billion, four hundred thirteen million, three hundred fifty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 1217 2434 4868 6085 9736 12170 13421 23123 24340 26842 46246 48680 53684 67105 92492 107368 115615 134210 184984 231230 254999 268420 462460 509998 536840 924920 1019996 1274995 2039992 2549990 5099980 10199960 16333357 32666714 65333428 81666785 130666856 163333570 310333783 326667140 620667566 653334280 1241335132 1551668915 2482670264 3103337830 6206675660 12413351320