Search a number
-
+
201020002002 = 23259251754121
BaseRepresentation
bin1011101100110110111…
…0011100111011010010
3201012212102121011012100
42323031232130323102
511243142110031002
6232203004141230
720344314552531
oct2731556347322
9635772534170
10201020002002
1178285606866
1232b61237816
1315c57740661
149a2d758318
155367ca711c
hex2ecdb9ced2

201020002002 has 48 divisors (see below), whose sum is σ = 444690660960. Its totient is φ = 65608440000.

The previous prime is 201020001971. The next prime is 201020002013. The reversal of 201020002002 is 200200020102.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110499 + ... + 643622.

It is an arithmetic number, because the mean of its divisors is an integer number (9264388770).

Almost surely, 2201020002002 is an apocalyptic number.

201020002002 is an abundant number, since it is smaller than the sum of its proper divisors (243670658958).

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

201020002002 is a wasteful number, since it uses less digits than its factorization.

201020002002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754439 (or 754436 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 201020002002 its reverse (200200020102), we get a palindrome (401220022104).

The spelling of 201020002002 in words is "two hundred one billion, twenty million, two thousand, two".

Divisors: 1 2 3 6 9 18 59 118 177 251 354 502 531 753 1062 1506 2259 4518 14809 29618 44427 88854 133281 266562 754121 1508242 2262363 4524726 6787089 13574178 44493139 88986278 133479417 189284371 266958834 378568742 400438251 567853113 800876502 1135706226 1703559339 3407118678 11167777889 22335555778 33503333667 67006667334 100510001001 201020002002