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213122110200 = 23352355203517
BaseRepresentation
bin1100011001111100010…
…0010101001011111000
3202101002211211221122220
43012133010111023320
511442433230011300
6241523522244040
721253236022026
oct3063704251370
9671084757586
10213122110200
118242596987a
123537a1b6620
1317135aa641c
14a45ab55716
155825496da0
hex319f1152f8

213122110200 has 48 divisors (see below), whose sum is σ = 660678543480. Its totient is φ = 56832562560.

The previous prime is 213122110193. The next prime is 213122110219. The reversal of 213122110200 is 2011221312.

213122110200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2131221102002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 213122110200.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 177601159 + ... + 177602358.

Almost surely, 2213122110200 is an apocalyptic number.

213122110200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213122110200 is an abundant number, since it is smaller than the sum of its proper divisors (447556433280).

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

213122110200 is a wasteful number, since it uses less digits than its factorization.

213122110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355203536 (or 355203527 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 213122110200 its reverse (2011221312), we get a palindrome (215133331512).

The spelling of 213122110200 in words is "two hundred thirteen billion, one hundred twenty-two million, one hundred ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 355203517 710407034 1065610551 1420814068 1776017585 2131221102 2841628136 3552035170 4262442204 5328052755 7104070340 8524884408 8880087925 10656105510 14208140680 17760175850 21312211020 26640263775 35520351700 42624422040 53280527550 71040703400 106561055100 213122110200