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213422432300 = 225271127717199
BaseRepresentation
bin1100011011000011110…
…1111110000000101100
3202101212202221220010122
43012300331332000230
511444042120313200
6242013411224112
721263543512460
oct3066075760054
9671782856118
10213422432300
118256a443260
12354428a8038
13171830879cc
14a4889b04a0
155841a1b385
hex31b0f7e02c

213422432300 has 72 divisors (see below), whose sum is σ = 577404710400. Its totient is φ = 66521275200.

The previous prime is 213422432281. The next prime is 213422432303. The reversal of 213422432300 is 3234224312.

213422432300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 213422432300.

It is not an unprimeable number, because it can be changed into a prime (213422432303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13850900 + ... + 13866299.

Almost surely, 2213422432300 is an apocalyptic number.

213422432300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213422432300 is an abundant number, since it is smaller than the sum of its proper divisors (363982278100).

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

213422432300 is a wasteful number, since it uses less digits than its factorization.

213422432300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27717231 (or 27717224 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 213422432300 its reverse (3234224312), we get a palindrome (216656656612).

The spelling of 213422432300 in words is "two hundred thirteen billion, four hundred twenty-two million, four hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1540 1925 3850 7700 27717199 55434398 110868796 138585995 194020393 277171990 304889189 388040786 554343980 609778378 692929975 776081572 970101965 1219556756 1385859950 1524445945 1940203930 2134224323 2771719900 3048891890 3880407860 4268448646 4850509825 6097783780 7622229725 8536897292 9701019650 10671121615 15244459450 19402039300 21342243230 30488918900 42684486460 53355608075 106711216150 213422432300