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2161513200200 = 2352113388924593
BaseRepresentation
bin11111011101000100001…
…110011111101001001000
321122122020120102112101212
4133131010032133221020
5240403234334401300
64332552505232252
7312110212024454
oct37350416375110
97578216375355
102161513200200
1176376893a722
122aaaba492688
13128aa3165613
1476891341664
153b35c720935
hex1f74439fa48

2161513200200 has 96 divisors (see below), whose sum is σ = 5071501686600. Its totient is φ = 856698716160.

The previous prime is 2161513200181. The next prime is 2161513200211. The reversal of 2161513200200 is 20023151612.

It can be written as a sum of positive squares in 12 ways, for example, as 79477758724 + 2082035441476 = 281918^2 + 1442926^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87879104 + ... + 87903696.

Almost surely, 22161513200200 is an apocalyptic number.

2161513200200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2161513200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2535750843300).

2161513200200 is an abundant number, since it is smaller than the sum of its proper divisors (2909988486400).

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

2161513200200 is a wasteful number, since it uses less digits than its factorization.

2161513200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28611 (or 28602 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

Adding to 2161513200200 its reverse (20023151612), we get a palindrome (2181536351812).

The spelling of 2161513200200 in words is "two trillion, one hundred sixty-one billion, five hundred thirteen million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 113 200 226 452 565 904 1130 2260 2825 3889 4520 5650 7778 11300 15556 19445 22600 24593 31112 38890 49186 77780 97225 98372 122965 155560 194450 196744 245930 388900 439457 491860 614825 777800 878914 983720 1229650 1757828 2197285 2459300 2779009 3515656 4394570 4918600 5558018 8789140 10986425 11116036 13895045 17578280 21972850 22232072 27790090 43945700 55580180 69475225 87891400 95642177 111160360 138950450 191284354 277900900 382568708 478210885 555801800 765137416 956421770 1912843540 2391054425 3825687080 4782108850 9564217700 10807566001 19128435400 21615132002 43230264004 54037830005 86460528008 108075660010 216151320020 270189150025 432302640040 540378300050 1080756600100 2161513200200