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213364463312 = 247112131211087
BaseRepresentation
bin1100011010110110000…
…0110101011011010000
3202101201201212202122002
43012231200311123100
511443432300311222
6242003540533132
721262241004620
oct3065540653320
9671651782562
10213364463312
118253a74a300
12354273b11a8
131717406c330
14a481000880
15583b8ba392
hex31ad8356d0

213364463312 has 120 divisors (see below), whose sum is σ = 559251372288. Its totient is φ = 76734408960.

The previous prime is 213364463287. The next prime is 213364463317.

213364463312 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213364463317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 429368 + ... + 781719.

Almost surely, 2213364463312 is an apocalyptic number.

213364463312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

213364463312 is an abundant number, since it is smaller than the sum of its proper divisors (345886908976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213364463312 is a wasteful number, since it uses less digits than its factorization.

213364463312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211137 (or 1211120 counting only the distinct ones).

The product of its digits is 186624, while the sum is 38.

It can be divided in two parts, 213364 and 463312, that added together give a palindrome (676676).

The spelling of 213364463312 in words is "two hundred thirteen billion, three hundred sixty-four million, four hundred sixty-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 121 143 154 176 182 208 242 286 308 364 484 572 616 728 847 968 1001 1144 1232 1456 1573 1694 1936 2002 2288 3146 3388 4004 6292 6776 8008 11011 12584 13552 16016 22022 25168 44044 88088 176176 1211087 2422174 4844348 8477609 9688696 13321957 15744131 16955218 19377392 26643914 31488262 33910436 53287828 62976524 67820872 93253699 106575656 110208917 125953048 135641744 146541527 173185441 186507398 213151312 220417834 251906096 293083054 346370882 373014796 440835668 586166108 692741764 746029592 881671336 1025790689 1172332216 1212298087 1385483528 1492059184 1763342672 1905039851 2051581378 2344664432 2424596174 2770967056 3810079702 4103162756 4849192348 7620159404 8206325512 9698384696 13335278957 15240318808 16412651024 19396769392 26670557914 30480637616 53341115828 106682231656 213364463312