Search a number
-
+
202101001002 = 23253745728409
BaseRepresentation
bin1011110000111000101…
…0001000101100101010
3201022122202200121001100
42330032022020230222
511302400324013002
6232502141502230
720413152110235
oct2741612105452
9638582617040
10202101001002
117878a82336a
1233203271976
131609a69a834
149ad314c41c
1553ccb3811c
hex2f0e288b2a

202101001002 has 48 divisors (see below), whose sum is σ = 446223028680. Its totient is φ = 66084734976.

The previous prime is 202101000979. The next prime is 202101001007. The reversal of 202101001002 is 200100101202.

It can be written as a sum of positive squares in 4 ways, for example, as 183585683961 + 18515317041 = 428469^2 + 136071^2 .

It is a super-3 number, since 3×2021010010023 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (202101001007) 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 23 ways as a sum of consecutive naturals, for example, 7099774 + ... + 7128182.

Almost surely, 2202101001002 is an apocalyptic number.

202101001002 is an abundant number, since it is smaller than the sum of its proper divisors (244122027678).

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

202101001002 is a wasteful number, since it uses less digits than its factorization.

202101001002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35927 (or 35924 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 202101001002 its reverse (200100101202), we get a palindrome (402201102204).

The spelling of 202101001002 in words is "two hundred two billion, one hundred one million, one thousand, two".

Divisors: 1 2 3 6 9 18 53 106 159 318 477 954 7457 14914 22371 28409 44742 56818 67113 85227 134226 170454 255681 395221 511362 790442 1185663 1505677 2371326 3011354 3556989 4517031 7113978 9034062 13551093 27102186 211845913 423691826 635537739 1271075478 1906613217 3813226434 11227833389 22455666778 33683500167 67367000334 101050500501 202101001002