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20314432312300 = 22527168291724441
BaseRepresentation
bin1001001111001110100101…
…00001011001001111101100
32122221001002201022221222001
410213213102201121033230
510130312424132443200
6111112153225502044
74164445366413430
oct447472241311754
978831081287861
1020314432312300
116522336498165
1223410a6341924
13b448481673b9
1450331c04c9c0
152536595c076a
hex1279d28593ec

20314432312300 has 72 divisors (see below), whose sum is σ = 50382814980960. Its totient is φ = 6964530316800.

The previous prime is 20314432312271. The next prime is 20314432312303. The reversal of 20314432312300 is 321323441302.

It is a happy number.

20314432312300 is digitally balanced in base 5, 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 (28).

It is not an unprimeable number, because it can be changed into a prime (20314432312303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10918080 + ... + 12642520.

It is an arithmetic number, because the mean of its divisors is an integer number (699761319180).

Almost surely, 220314432312300 is an apocalyptic number.

20314432312300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20314432312300 is an abundant number, since it is smaller than the sum of its proper divisors (30068382668660).

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

20314432312300 is a wasteful number, since it uses less digits than its factorization.

20314432312300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1741291 (or 1741284 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 20314432312300 its reverse (321323441302), we get a palindrome (20635755753602).

The spelling of 20314432312300 in words is "twenty trillion, three hundred fourteen billion, four hundred thirty-two million, three hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 16829 33658 67316 84145 117803 168290 235606 336580 420725 471212 589015 841450 1178030 1682900 1724441 2356060 2945075 3448882 5890150 6897764 8622205 11780300 12071087 17244410 24142174 34488820 43111025 48284348 60355435 86222050 120710870 172444100 241421740 301777175 603554350 1207108700 29020617589 58041235178 116082470356 145103087945 203144323123 290206175890 406288646246 580412351780 725515439725 812577292492 1015721615615 1451030879450 2031443231230 2902061758900 4062886462460 5078608078075 10157216156150 20314432312300