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412311120134200 = 235272367114639137
BaseRepresentation
bin101110110111111101010100…
…1110110100100000000111000
32000001212120001212202121001121
41131233322221312210000320
5413020301133223243300
64020525040321155024
7152563331631313600
oct13557725166440070
92001776055677047
10412311120134200
1110a414189429151
123a2b07a7a8ba74
131490aa058368b1
1473b5d7118bc00
1532a0259acc81a
hex176fea9da4038

412311120134200 has 144 divisors (see below), whose sum is σ = 1118171809789920. Its totient is φ = 140978623887360.

The previous prime is 412311120134167. The next prime is 412311120134203. The reversal of 412311120134200 is 2431021113214.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412311120134203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 53722969 + ... + 60916168.

It is an arithmetic number, because the mean of its divisors is an integer number (7765082012430).

Almost surely, 2412311120134200 is an apocalyptic number.

412311120134200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412311120134200 is an abundant number, since it is smaller than the sum of its proper divisors (705860689655720).

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

412311120134200 is a wasteful number, since it uses less digits than its factorization.

412311120134200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114639534 (or 114639518 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 412311120134200 its reverse (2431021113214), we get a palindrome (414742141247414).

The spelling of 412311120134200 in words is "four hundred twelve trillion, three hundred eleven billion, one hundred twenty million, one hundred thirty-four thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 367 392 490 700 734 980 1225 1400 1468 1835 1960 2450 2569 2936 3670 4900 5138 7340 9175 9800 10276 12845 14680 17983 18350 20552 25690 35966 36700 51380 64225 71932 73400 89915 102760 128450 143864 179830 256900 359660 449575 513800 719320 899150 1798300 3596600 114639137 229278274 458556548 573195685 802473959 917113096 1146391370 1604947918 2292782740 2865978425 3209895836 4012369795 4585565480 5617317713 5731956850 6419791672 8024739590 11234635426 11463913700 16049479180 20061848975 22469270852 22927827400 28086588565 32098958360 40123697950 42072563279 44938541704 56173177130 80247395900 84145126558 112346354260 140432942825 160494791800 168290253116 210362816395 224692708520 280865885650 294507942953 336580506232 420725632790 561731771300 589015885906 841451265580 1051814081975 1123463542600 1178031771812 1472539714765 1682902531160 2061555600671 2103628163950 2356063543624 2945079429530 4123111201342 4207256327900 5890158859060 7362698573825 8246222402684 8414512655800 10307778003355 11780317718120 14725397147650 16492444805368 20615556006710 29450794295300 41231112013420 51538890016775 58901588590600 82462224026840 103077780033550 206155560067100 412311120134200