Search a number
-
+
200111202111002 = 273131910111819901
BaseRepresentation
bin101101100000000000000101…
…000111100000111000011010
3222020112102222202000121020012
4231200000011013200320122
5202212110220220023002
61545333452300401522
760102362064545000
oct5540000507407032
9866472882017205
10200111202111002
1158841758781226
121a53aa848462a2
13878753683c070
14375b610726a70
15182054198cd52
hexb600051e0e1a

200111202111002 has 256 divisors, whose sum is σ = 401125108608000. Its totient is φ = 74185372800000.

The previous prime is 200111202110987. The next prime is 200111202111019.

200111202111002 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2001112021110022 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 20211206252 + ... + 20211216152.

It is an arithmetic number, because the mean of its divisors is an integer number (1566894955500).

Almost surely, 2200111202111002 is an apocalyptic number.

200111202111002 is an abundant number, since it is smaller than the sum of its proper divisors (201013906496998).

200111202111002 is a wasteful number, since it uses less digits than its factorization.

200111202111002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11238 (or 11224 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

It can be divided in two parts, 20011120 and 2111002, that added together give a palindrome (22122122).

The spelling of 200111202111002 in words is "two hundred trillion, one hundred eleven billion, two hundred two million, one hundred eleven thousand, two".