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213422402122300 = 22527674550584267
BaseRepresentation
bin110000100001101101000110…
…011101110011001000111100
31000222122222112011020200102001
4300201231012131303020330
5210433203034420403200
62033524521545312044
762645155040020150
oct6041550635631074
91028588464220361
10213422402122300
1162003a290a64a8
121bb2a836795624
13921185280cba7
143a9b9b1147060
1519a1916bd076a
hexc21b4677323c

213422402122300 has 72 divisors (see below), whose sum is σ = 537187371668864. Its totient is φ = 72081254773440.

The previous prime is 213422402122291. The next prime is 213422402122327. The reversal of 213422402122300 is 3221204224312.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

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, 2275245234 + ... + 2275339033.

Almost surely, 2213422402122300 is an apocalyptic number.

213422402122300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213422402122300 is an abundant number, since it is smaller than the sum of its proper divisors (323764969546564).

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

213422402122300 is a wasteful number, since it uses less digits than its factorization.

213422402122300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4550584355 (or 4550584348 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 213422402122300 its reverse (3221204224312), we get a palindrome (216643606346612).

The spelling of 213422402122300 in words is "two hundred thirteen trillion, four hundred twenty-two billion, four hundred two million, one hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 67 70 100 134 140 175 268 335 350 469 670 700 938 1340 1675 1876 2345 3350 4690 6700 9380 11725 23450 46900 4550584267 9101168534 18202337068 22752921335 31854089869 45505842670 63708179738 91011685340 113764606675 127416359476 159270449345 227529213350 304889145889 318540898690 455058426700 609778291778 637081797380 796352246725 1219556583556 1524445729445 1592704493450 2134224021223 3048891458890 3185408986900 4268448042446 6097782917780 7622228647225 8536896084892 10671120106115 15244457294450 21342240212230 30488914588900 42684480424460 53355600530575 106711201061150 213422402122300