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200201111120 = 24579212914879
BaseRepresentation
bin1011101001110011101…
…0101000011001010000
3201010202100201012002102
42322130322220121100
511240002441023440
6231545432335532
720315112236543
oct2723472503120
9633670635072
10200201111120
11779a5342a3a
1232972b445a8
1315b56ba513a
149992ab285a
15531ae4cb15
hex2e9cea8650

200201111120 has 80 divisors (see below), whose sum is σ = 471612672000. Its totient is φ = 79024318464.

The previous prime is 200201111113. The next prime is 200201111161. The reversal of 200201111120 is 21111102002.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13447841 + ... + 13462719.

It is an arithmetic number, because the mean of its divisors is an integer number (5895158400).

Almost surely, 2200201111120 is an apocalyptic number.

200201111120 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 200201111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235806336000).

200201111120 is an abundant number, since it is smaller than the sum of its proper divisors (271411560880).

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

200201111120 is a wasteful number, since it uses less digits than its factorization.

200201111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17100 (or 17094 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 200201111120 its reverse (21111102002), we get a palindrome (221312213122).

The spelling of 200201111120 in words is "two hundred billion, two hundred one million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 158 316 395 632 790 1264 1580 2129 3160 4258 6320 8516 10645 14879 17032 21290 29758 34064 42580 59516 74395 85160 119032 148790 168191 170320 238064 297580 336382 595160 672764 840955 1175441 1190320 1345528 1681910 2350882 2691056 3363820 4701764 5877205 6727640 9403528 11754410 13455280 18807056 23508820 31677391 47017640 63354782 94035280 126709564 158386955 253419128 316773910 506838256 633547820 1267095640 2502513889 2534191280 5005027778 10010055556 12512569445 20020111112 25025138890 40040222224 50050277780 100100555560 200201111120