Search a number
-
+
202011110001 = 346140884661
BaseRepresentation
bin1011110000100011001…
…1001110101001110001
3201022102111112122210000
42330020303032221301
511302204321010001
6232445211100213
720411011050321
oct2741063165161
9638374478700
10202011110001
1178744006988
1233199141669
1316084b863ac
149ac522d281
1553c4ccda86
hex2f08ccea71

202011110001 has 20 divisors (see below), whose sum is σ = 306716734324. Its totient is φ = 132466298400.

The previous prime is 202011109999. The next prime is 202011110003. The reversal of 202011110001 is 100011110202.

It is a happy number.

202011110001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (202011109999) and next prime (202011110003).

It can be written as a sum of positive squares in 2 ways, for example, as 103696880400 + 98314229601 = 322020^2 + 313551^2 .

It is not a de Polignac number, because 202011110001 - 21 = 202011109999 is a prime.

It is a super-2 number, since 2×2020111100012 (a number of 23 digits) contains 22 as substring.

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

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (202011110003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20437390 + ... + 20447271.

Almost surely, 2202011110001 is an apocalyptic number.

It is an amenable number.

202011110001 is a deficient number, since it is larger than the sum of its proper divisors (104705624323).

202011110001 is an equidigital number, since it uses as much as digits as its factorization.

202011110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40884734 (or 40884725 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 202011110001 its reverse (100011110202), we get a palindrome (302022220203).

The spelling of 202011110001 in words is "two hundred two billion, eleven million, one hundred ten thousand, one".

Divisors: 1 3 9 27 61 81 183 549 1647 4941 40884661 122653983 367961949 1103885847 2493964321 3311657541 7481892963 22445678889 67337036667 202011110001