Search a number
-
+
12421203311100 = 223521713917521799
BaseRepresentation
bin1011010011000000100101…
…1010010011100111111100
31121222110022000102021112210
42310300021122103213330
53112002111021423400
642230115542500420
72421254666046033
oct264601132234774
947873260367483
1012421203311100
113a598914a3701
12148738ba34710
136c1411ab914c
1430d291bb971a
15168186026950
hexb4c096939fc

12421203311100 has 144 divisors (see below), whose sum is σ = 38326484448000. Its totient is φ = 3095050398720.

The previous prime is 12421203311093. The next prime is 12421203311107. The reversal of 12421203311100 is 111330212421.

12421203311100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12421203311093) and next prime (12421203311107).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12421203311107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8052000 + ... + 9469799.

It is an arithmetic number, because the mean of its divisors is an integer number (266156142000).

Almost surely, 212421203311100 is an apocalyptic number.

12421203311100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12421203311100 is an abundant number, since it is smaller than the sum of its proper divisors (25905281136900).

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

12421203311100 is a wasteful number, since it uses less digits than its factorization.

12421203311100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17521972 (or 17521965 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 12421203311100 its reverse (111330212421), we get a palindrome (12532533523521).

The spelling of 12421203311100 in words is "twelve trillion, four hundred twenty-one billion, two hundred three million, three hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 139 150 170 204 255 278 300 340 417 425 510 556 695 834 850 1020 1275 1390 1668 1700 2085 2363 2550 2780 3475 4170 4726 5100 6950 7089 8340 9452 10425 11815 13900 14178 20850 23630 28356 35445 41700 47260 59075 70890 118150 141780 177225 236300 354450 708900 17521799 35043598 52565397 70087196 87608995 105130794 175217990 210261588 262826985 297870583 350435980 438044975 525653970 595741166 876089950 893611749 1051307940 1191482332 1314134925 1489352915 1752179900 1787223498 2435530061 2628269850 2978705830 3574446996 4468058745 4871060122 5256539700 5957411660 7306590183 7446764575 8936117490 9742120244 12177650305 14613180366 14893529150 17872234980 22340293725 24355300610 29226360732 29787058300 36532950915 41404011037 44680587450 48710601220 60888251525 73065901830 82808022074 89361174900 121776503050 124212033111 146131803660 165616044148 182664754575 207020055185 243553006100 248424066222 365329509150 414040110370 496848132444 621060165555 730659018300 828080220740 1035100275925 1242120331110 2070200551850 2484240662220 3105300827775 4140401103700 6210601655550 12421203311100