Search a number
-
+
213219527049 = 3219281012
BaseRepresentation
bin1100011010010011011…
…1111100100110001001
3202101100122011020110100
43012210313330212021
511443133144331144
6241541322240013
721255531035124
oct3064467744611
9671318136410
10213219527049
1182475956571
12353a6956009
1317150024229
14a469a733bb
15582dcdb269
hex31a4dfc989

213219527049 has 27 divisors (see below), whose sum is σ = 325086702759. Its totient is φ = 134648341200.

The previous prime is 213219526969. The next prime is 213219527089. The reversal of 213219527049 is 940725912312.

The square root of 213219527049 is 461757.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 213114259449 + 105267600 = 461643^2 + 10260^2 .

It is not a de Polignac number, because 213219527049 - 213 = 213219518857 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213219526995 and 213219527013.

It is not an unprimeable number, because it can be changed into a prime (213219527089) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26316099 + ... + 26324199.

Almost surely, 2213219527049 is an apocalyptic number.

213219527049 is the 461757-th square number.

213219527049 is the 230879-th centered octagonal number.

It is an amenable number.

213219527049 is a deficient number, since it is larger than the sum of its proper divisors (111867175710).

213219527049 is an frugal number, since it uses more digits than its factorization.

213219527049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16246 (or 8123 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 213219527049 in words is "two hundred thirteen billion, two hundred nineteen million, five hundred twenty-seven thousand, forty-nine".

Divisors: 1 3 9 19 57 171 361 1083 3249 8101 24303 72909 153919 461757 1385271 2924461 8773383 26320149 65626201 196878603 590635809 1246897819 3740693457 11222080371 23691058561 71073175683 213219527049