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201342200200 = 23524733763559
BaseRepresentation
bin1011101110000011101…
…1100010100110001000
3201020200212212112000221
42323200323202212020
511244322100401300
6232254554035424
720355306315061
oct2734073424610
9636625775027
10201342200200
1178430472069
1233031118b74
1315ca941128b
149a60469568
1553861ed31a
hex2ee0ee2988

201342200200 has 96 divisors (see below), whose sum is σ = 479506809600. Its totient is φ = 78588195840.

The previous prime is 201342200197. The next prime is 201342200201. The reversal of 201342200200 is 2002243102.

It is not an unprimeable number, because it can be changed into a prime (201342200201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3136021 + ... + 3199579.

It is an arithmetic number, because the mean of its divisors is an integer number (4994862600).

Almost surely, 2201342200200 is an apocalyptic number.

201342200200 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 201342200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239753404800).

201342200200 is an abundant number, since it is smaller than the sum of its proper divisors (278164609400).

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

201342200200 is a wasteful number, since it uses less digits than its factorization.

201342200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63959 (or 63950 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 201342200200 its reverse (2002243102), we get a palindrome (203344443302).

The spelling of 201342200200 in words is "two hundred one billion, three hundred forty-two million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 188 200 235 337 376 470 674 940 1175 1348 1685 1880 2350 2696 3370 4700 6740 8425 9400 13480 15839 16850 31678 33700 63356 63559 67400 79195 126712 127118 158390 254236 316780 317795 395975 508472 633560 635590 791950 1271180 1583900 1588975 2542360 2987273 3167800 3177950 5974546 6355900 11949092 12711800 14936365 21419383 23898184 29872730 42838766 59745460 74681825 85677532 107096915 119490920 149363650 171355064 214193830 298727300 428387660 535484575 597454600 856775320 1006711001 1070969150 2013422002 2141938300 4026844004 4283876600 5033555005 8053688008 10067110010 20134220020 25167775025 40268440040 50335550050 100671100100 201342200200