Search a number
-
+
202101020200 = 2352191011094831
BaseRepresentation
bin1011110000111000101…
…0001101011000101000
3201022122202201120101101
42330032022031120220
511302400330121300
6232502142131144
720413152220222
oct2741612153050
9638582646341
10202101020200
117878a836832
1233203280ab4
131609a6a64b1
149ad3155412
1553ccb3db6a
hex2f0e28d628

202101020200 has 192 divisors, whose sum is σ = 504199872000. Its totient is φ = 75116160000.

The previous prime is 202101020197. The next prime is 202101020207. The reversal of 202101020200 is 2020101202.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (202101020207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41831785 + ... + 41836615.

It is an arithmetic number, because the mean of its divisors is an integer number (2626041000).

Almost surely, 2202101020200 is an apocalyptic number.

202101020200 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 202101020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252099936000).

202101020200 is an abundant number, since it is smaller than the sum of its proper divisors (302098851800).

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

202101020200 is a wasteful number, since it uses less digits than its factorization.

202101020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5076 (or 5067 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 202101020200 its reverse (2020101202), we get a palindrome (204121121402).

It can be divided in two parts, 2021010 and 20200, that added together give a triangular number (2041210 = T2020).

The spelling of 202101020200 in words is "two hundred two billion, one hundred one million, twenty thousand, two hundred".