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102300212313200 = 24521133703689851
BaseRepresentation
bin10111010000101010011111…
…110100001011110001110000
3111102012210201200121000221202
4113100222133310023301300
5101402041313323010300
61001324022503310332
730355642425202616
oct2720523764136160
9442183650530852
10102300212313200
112a661304987310
12b58257214b3a8
134510b3a4b4915
141b394dcaad6b6
15bc60e38e8ad5
hex5d0a9fd0bc70

102300212313200 has 120 divisors (see below), whose sum is σ = 268127900489856. Its totient is φ = 37198919520000.

The previous prime is 102300212313199. The next prime is 102300212313217. The reversal of 102300212313200 is 2313212003201.

102300212313200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 147948275 + ... + 148638125.

Almost surely, 2102300212313200 is an apocalyptic number.

102300212313200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102300212313200 is an abundant number, since it is smaller than the sum of its proper divisors (165827688176656).

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

102300212313200 is a wasteful number, since it uses less digits than its factorization.

102300212313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723583 (or 723572 counting only the distinct ones).

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

Adding to 102300212313200 its reverse (2313212003201), we get a palindrome (104613424316401).

The spelling of 102300212313200 in words is "one hundred two trillion, three hundred billion, two hundred twelve million, three hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 33703 67406 134812 168515 269624 337030 370733 539248 674060 689851 741466 842575 1348120 1379702 1482932 1685150 1853665 2696240 2759404 2965864 3370300 3449255 3707330 5518808 5931728 6740600 6898510 7414660 7588361 9268325 11037616 13481200 13797020 14829320 15176722 17246275 18536650 27594040 29658640 30353444 34492550 37073300 37941805 55188080 60706888 68985100 74146600 75883610 121413776 137970200 148293200 151767220 189709025 275940400 303534440 379418050 607068880 758836100 1517672200 3035344400 23250048253 46500096506 93000193012 116250241265 186000386024 232500482530 255750530783 372000772048 465000965060 511501061566 581251206325 930001930120 1023002123132 1162502412650 1278752653915 1860003860240 2046004246264 2325004825300 2557505307830 4092008492528 4650009650600 5115010615660 6393763269575 9300019301200 10230021231320 12787526539150 20460042462640 25575053078300 51150106156600 102300212313200