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218200002813 = 32132206969337
BaseRepresentation
bin1100101100110110111…
…0111101000011111101
3202212012201210121210200
43023031232331003331
512033333200042223
6244123435154113
721523125264462
oct3131556750375
9685181717720
10218200002813
11845a1238741
12363568a5939
1317764b08100
14a7bd2d1669
155a21187a43
hex32cdbbd0fd

218200002813 has 36 divisors (see below), whose sum is σ = 341457061140. Its totient is φ = 134210089728.

The previous prime is 218200002799. The next prime is 218200002833. The reversal of 218200002813 is 318200002812.

It can be written as a sum of positive squares in 6 ways, for example, as 64047967929 + 154152034884 = 253077^2 + 392622^2 .

It is not a de Polignac number, because 218200002813 - 226 = 218132893949 is a prime.

It is a super-2 number, since 2×2182000028132 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218200002833) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3112281 + ... + 3181617.

It is an arithmetic number, because the mean of its divisors is an integer number (9484918365).

Almost surely, 2218200002813 is an apocalyptic number.

It is an amenable number.

218200002813 is a deficient number, since it is larger than the sum of its proper divisors (123257058327).

218200002813 is a wasteful number, since it uses less digits than its factorization.

218200002813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71438 (or 71422 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Subtracting 218200002813 from its reverse (318200002812), we obtain a palindrome (99999999999).

The spelling of 218200002813 in words is "two hundred eighteen billion, two hundred million, two thousand, eight hundred thirteen".

Divisors: 1 3 9 13 39 117 169 507 1521 2069 6207 18621 26897 69337 80691 208011 242073 349661 624033 901381 1048983 2704143 3146949 8112429 11717953 35153859 105461577 143458253 430374759 1291124277 1864957289 5594871867 16784615601 24244444757 72733334271 218200002813