Search a number
-
+
212513195349 = 33713175087821
BaseRepresentation
bin1100010111101011000…
…1100000010101010101
3202022112102001212112000
43011322301200111111
511440211334222344
6241343251145513
721232163233050
oct3057261402525
9668472055460
10212513195349
1182143182064
123522a2a5299
13170698a8b90
14a3ddd2ba97
1557dbcb7a69
hex317ac60555

212513195349 has 64 divisors (see below), whose sum is σ = 410281966080. Its totient is φ = 105501035520.

The previous prime is 212513195291. The next prime is 212513195357. The reversal of 212513195349 is 943591315212.

212513195349 is a `hidden beast` number, since 2 + 1 + 2 + 513 + 1 + 95 + 3 + 49 = 666.

It is not a de Polignac number, because 212513195349 - 27 = 212513195221 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212513195149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2502142 + ... + 2585679.

It is an arithmetic number, because the mean of its divisors is an integer number (6410655720).

Almost surely, 2212513195349 is an apocalyptic number.

It is an amenable number.

212513195349 is a deficient number, since it is larger than the sum of its proper divisors (197768770731).

212513195349 is a wasteful number, since it uses less digits than its factorization.

212513195349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5087867 (or 5087861 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The spelling of 212513195349 in words is "two hundred twelve billion, five hundred thirteen million, one hundred ninety-five thousand, three hundred forty-nine".

Divisors: 1 3 7 9 13 17 21 27 39 51 63 91 117 119 153 189 221 273 351 357 459 663 819 1071 1547 1989 2457 3213 4641 5967 13923 41769 5087821 15263463 35614747 45790389 66141673 86492957 106844241 137371167 198425019 259478871 320532723 462991711 595275057 605450699 778436613 961598169 1124408441 1388975133 1785825171 1816352097 2335309839 3373225323 4166925399 5449056291 7870859087 10119675969 12500776197 16347168873 23612577261 30359027907 70837731783 212513195349