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22141113120200 = 2352485412280661
BaseRepresentation
bin1010000100011001000010…
…01011101011010111001000
32220101200002020112121020002
411002030201023223113020
510400224444424321300
6115031253103022132
74443433265165444
oct502144113532710
986350066477202
1022141113120200
117066aa2158708
122597119b9a948
13c47b89c028a9
145678c80d1824
15285e1b65d5d5
hex1423212eb5c8

22141113120200 has 48 divisors (see below), whose sum is σ = 51479171083860. Its totient is φ = 8856258912000.

The previous prime is 22141113120199. The next prime is 22141113120223. The reversal of 22141113120200 is 202131114122.

It can be written as a sum of positive squares in 6 ways, for example, as 1036295496196 + 21104817624004 = 1017986^2 + 4593998^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 8567870 + ... + 10848530.

Almost surely, 222141113120200 is an apocalyptic number.

22141113120200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22141113120200 is an abundant number, since it is smaller than the sum of its proper divisors (29338057963660).

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

22141113120200 is a wasteful number, since it uses less digits than its factorization.

22141113120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329218 (or 2329209 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 22141113120200 its reverse (202131114122), we get a palindrome (22343244234322).

The spelling of 22141113120200 in words is "twenty-two trillion, one hundred forty-one billion, one hundred thirteen million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 48541 97082 194164 242705 388328 485410 970820 1213525 1941640 2280661 2427050 4561322 4854100 9122644 9708200 11403305 18245288 22806610 45613220 57016525 91226440 114033050 228066100 456132200 110705565601 221411131202 442822262404 553527828005 885644524808 1107055656010 2214111312020 2767639140025 4428222624040 5535278280050 11070556560100 22141113120200