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202141040200 = 235211107858713
BaseRepresentation
bin1011110001000010001…
…0110111111001001000
3201022202120000210111121
42330100202313321020
511302441101241300
6232510132005024
720414146330501
oct2742042677110
9638676023447
10202141040200
1178800390410
1233214760774
13160a5a79178
149ad85b1ba8
1553d13e681a
hex2f108b7e48

202141040200 has 96 divisors (see below), whose sum is σ = 517495404960. Its totient is φ = 72818777600.

The previous prime is 202141040183. The next prime is 202141040201. The reversal of 202141040200 is 2040141202.

202141040200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2021410402002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (202141040201) 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, 193957 + ... + 664756.

It is an arithmetic number, because the mean of its divisors is an integer number (5390577135).

Almost surely, 2202141040200 is an apocalyptic number.

202141040200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202141040200 is an abundant number, since it is smaller than the sum of its proper divisors (315354364760).

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

202141040200 is a wasteful number, since it uses less digits than its factorization.

202141040200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858847 (or 858838 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 202141040200 its reverse (2040141202), we get a palindrome (204181181402).

The spelling of 202141040200 in words is "two hundred two billion, one hundred forty-one million, forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 107 110 200 214 220 275 428 440 535 550 856 1070 1100 1177 2140 2200 2354 2675 4280 4708 5350 5885 9416 10700 11770 21400 23540 29425 47080 58850 117700 235400 858713 1717426 3434852 4293565 6869704 8587130 9445843 17174260 18891686 21467825 34348520 37783372 42935650 47229215 75566744 85871300 91882291 94458430 171742600 183764582 188916860 236146075 367529164 377833720 459411455 472292150 735058328 918822910 944584300 1010705201 1837645820 1889168600 2021410402 2297057275 3675291640 4042820804 4594114550 5053526005 8085641608 9188229100 10107052010 18376458200 20214104020 25267630025 40428208040 50535260050 101070520100 202141040200