Search a number
-
+
205061111031 = 3768331429067
BaseRepresentation
bin1011111011111010011…
…0000011110011110111
3201121022001122202122010
42332332212003303313
511324431121023111
6234112003135303
720546414453520
oct2767646036367
9647261582563
10205061111031
1179a69718897
12338aa674533
131644ca2662a
149cd432d847
15550294caa6
hex2fbe983cf7

205061111031 has 16 divisors (see below), whose sum is σ = 312520022784. Its totient is φ = 117160546944.

The previous prime is 205061111011. The next prime is 205061111089. The reversal of 205061111031 is 130111160502.

It is a happy number.

It is not a de Polignac number, because 205061111031 - 29 = 205061110519 is a prime.

It is a super-4 number, since 4×2050611110314 (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3, 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 205061110989 and 205061111007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205061111011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 571041 + ... + 858026.

It is an arithmetic number, because the mean of its divisors is an integer number (19532501424).

Almost surely, 2205061111031 is an apocalyptic number.

205061111031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

205061111031 is a deficient number, since it is larger than the sum of its proper divisors (107458911753).

205061111031 is a wasteful number, since it uses less digits than its factorization.

205061111031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435910.

The product of its (nonzero) digits is 180, while the sum is 21.

Adding to 205061111031 its reverse (130111160502), we get a palindrome (335172271533).

The spelling of 205061111031 in words is "two hundred five billion, sixty-one million, one hundred eleven thousand, thirty-one".

Divisors: 1 3 7 21 6833 20499 47831 143493 1429067 4287201 10003469 30010407 9764814811 29294444433 68353703677 205061111031