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212202113000 = 2353247785669
BaseRepresentation
bin1100010110100000111…
…0110100011111101000
3202021201201201020202112
43011220032310133220
511434042220104000
6241252335421452
721221365125323
oct3055016643750
9667651636675
10212202113000
1181aa3619309
1235162084888
131701a2ca997
14a3b08b17ba
1557be81a235
hex31683b47e8

212202113000 has 64 divisors (see below), whose sum is σ = 496759208400. Its totient is φ = 84845587200.

The previous prime is 212202112999. The next prime is 212202113027. The reversal of 212202113000 is 311202212.

It is a happy number.

212202113000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 6592465636 + 205609647364 = 81194^2 + 453442^2 .

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 15 ways as a sum of consecutive naturals, for example, 2434166 + ... + 2519834.

Almost surely, 2212202113000 is an apocalyptic number.

212202113000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212202113000 is an abundant number, since it is smaller than the sum of its proper divisors (284557095400).

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

212202113000 is a wasteful number, since it uses less digits than its factorization.

212202113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88167 (or 88153 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 212202113000 its reverse (311202212), we get a palindrome (212513315212).

The spelling of 212202113000 in words is "two hundred twelve billion, two hundred two million, one hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 2477 4954 9908 12385 19816 24770 49540 61925 85669 99080 123850 171338 247700 309625 342676 428345 495400 619250 685352 856690 1238500 1713380 2141725 2477000 3426760 4283450 8566900 10708625 17133800 21417250 42834500 85669000 212202113 424404226 848808452 1061010565 1697616904 2122021130 4244042260 5305052825 8488084520 10610105650 21220211300 26525264125 42440422600 53050528250 106101056500 212202113000