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12413323100 = 22522361103859
BaseRepresentation
bin10111000111110010…
…00100011101011100
31012001002212011001102
423203321010131130
5200410302314400
65411432332232
7616420335233
oct134371043534
935032764042
1012413323100
11529aaa7412
1224a5244078
13122a98c3c9
1485a88db1a
154c9bb69d5
hex2e3e4475c

12413323100 has 144 divisors (see below), whose sum is σ = 28879818240. Its totient is φ = 4620844800.

The previous prime is 12413323099. The next prime is 12413323129. The reversal of 12413323100 is 132331421.

It is a super-2 number, since 2×124133231002 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14450471 + ... + 14451329.

Almost surely, 212413323100 is an apocalyptic number.

12413323100 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 12413323100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14439909120).

12413323100 is an abundant number, since it is smaller than the sum of its proper divisors (16466495140).

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

12413323100 is a wasteful number, since it uses less digits than its factorization.

12413323100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1053 counting only the distinct ones).

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

Adding to 12413323100 its reverse (132331421), we get a palindrome (12545654521).

The spelling of 12413323100 in words is "twelve billion, four hundred thirteen million, three hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 61 92 100 103 115 122 206 230 244 305 412 460 515 575 610 859 1030 1150 1220 1403 1525 1718 2060 2300 2369 2575 2806 3050 3436 4295 4738 5150 5612 6100 6283 7015 8590 9476 10300 11845 12566 14030 17180 19757 21475 23690 25132 28060 31415 35075 39514 42950 47380 52399 59225 62830 70150 79028 85900 88477 98785 104798 118450 125660 140300 144509 157075 176954 197570 209596 236900 261995 289018 314150 353908 395140 442385 493925 523990 578036 628300 722545 884770 987850 1047980 1205177 1309975 1445090 1769540 1975700 2034971 2211925 2410354 2619950 2890180 3612725 4069942 4423850 4820708 5239900 5397097 6025885 7225450 8139884 8847700 10174855 10794194 12051770 14450900 20349710 21588388 24103540 26985485 30129425 40699420 50874275 53970970 60258850 101748550 107941940 120517700 124133231 134927425 203497100 248266462 269854850 496532924 539709700 620666155 1241332310 2482664620 3103330775 6206661550 12413323100