Search a number
-
+
211141199969 = 7214669293749
BaseRepresentation
bin1100010010100011111…
…1110000100001100001
3202011222210102021200022
43010220333300201201
511424404121344334
6240555200403225
721153163405400
oct3045077604141
9664883367608
10211141199969
11815a9780687
1234b06916515
1316bab5840ab
14a30da29637
15575b60582e
hex3128ff0861

211141199969 has 12 divisors (see below), whose sum is σ = 245630812500. Its totient is φ = 180965217888.

The previous prime is 211141199963. The next prime is 211141199993. The reversal of 211141199969 is 969991141112.

It can be written as a sum of positive squares in 2 ways, for example, as 59887878400 + 151253321569 = 244720^2 + 388913^2 .

It is not a de Polignac number, because 211141199969 - 228 = 210872764513 is a prime.

It is a super-2 number, since 2×2111411999692 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 211141199969.

It is not an unprimeable number, because it can be changed into a prime (211141199963) 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 11 ways as a sum of consecutive naturals, for example, 571907 + ... + 865655.

It is an arithmetic number, because the mean of its divisors is an integer number (20469234375).

Almost surely, 2211141199969 is an apocalyptic number.

It is an amenable number.

211141199969 is a deficient number, since it is larger than the sum of its proper divisors (34489612531).

211141199969 is a wasteful number, since it uses less digits than its factorization.

211141199969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308432 (or 308425 counting only the distinct ones).

The product of its digits is 314928, while the sum is 53.

The spelling of 211141199969 in words is "two hundred eleven billion, one hundred forty-one million, one hundred ninety-nine thousand, nine hundred sixty-nine".

Divisors: 1 7 49 14669 102683 293749 718781 2056243 14393701 4309004081 30163028567 211141199969