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200201220200020 = 225133124838861067
BaseRepresentation
bin101101100001010011111010…
…100111010001011001010100
3222020212001100020221022211011
4231201103322213101121110
5202220044044332400040
61545443100524422004
760112026603641134
oct5541237247213124
9866761306838734
10200201220200020
1158876951627916
121a5544076a7904
138792b813259b0
143761b0dbb2ac4
151822a5e6de3ea
hexb614fa9d1654

200201220200020 has 48 divisors (see below), whose sum is σ = 467368009855488. Its totient is φ = 71535919870080.

The previous prime is 200201220199969. The next prime is 200201220200029. The reversal of 200201220200020 is 20002022102002.

200201220200020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200201220200029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12419422474 + ... + 12419438593.

It is an arithmetic number, because the mean of its divisors is an integer number (9736833538656).

Almost surely, 2200201220200020 is an apocalyptic number.

200201220200020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200201220200020 is an abundant number, since it is smaller than the sum of its proper divisors (267166789655468).

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

200201220200020 is a wasteful number, since it uses less digits than its factorization.

200201220200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24838861120 (or 24838861118 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 200201220200020 its reverse (20002022102002), we get a palindrome (220203242302022).

The spelling of 200201220200020 in words is "two hundred trillion, two hundred one billion, two hundred twenty million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 124 130 155 260 310 403 620 806 1612 2015 4030 8060 24838861067 49677722134 99355444268 124194305335 248388610670 322905193871 496777221340 645810387742 770004693077 1291620775484 1540009386154 1614525969355 3080018772308 3229051938710 3850023465385 6458103877420 7700046930770 10010061010001 15400093861540 20020122020002 40040244040004 50050305050005 100100610100010 200201220200020