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213344000133 = 3118921018081
BaseRepresentation
bin1100011010110001001…
…0110001100010000101
3202101200022101010102120
43012230102301202011
511443412031001013
6242001530200153
721261602036325
oct3065422614205
9671608333376
10213344000133
118252a142a90
1235420583059
131716ca56144
14a47c3d5285
155839bc7123
hex31ac4b1885

213344000133 has 48 divisors (see below), whose sum is σ = 316991040192. Its totient is φ = 126565120000.

The previous prime is 213344000131. The next prime is 213344000147. The reversal of 213344000133 is 331000443312.

It is not a de Polignac number, because 213344000133 - 21 = 213344000131 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 (213344000131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26396653 + ... + 26404733.

It is an arithmetic number, because the mean of its divisors is an integer number (6603980004).

Almost surely, 2213344000133 is an apocalyptic number.

It is an amenable number.

213344000133 is a deficient number, since it is larger than the sum of its proper divisors (103647040059).

213344000133 is a wasteful number, since it uses less digits than its factorization.

213344000133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8374 (or 8285 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 213344000133 its reverse (331000443312), we get a palindrome (544344443445).

The spelling of 213344000133 in words is "two hundred thirteen billion, three hundred forty-four million, one hundred thirty-three", and thus it is an aban number.

Divisors: 1 3 11 33 89 101 267 303 979 1111 2937 3333 7921 8081 8989 23763 24243 26967 87131 88891 98879 261393 266673 296637 719209 800021 816181 2157627 2400063 2448543 7911299 8800231 8977991 23733897 26400693 26933973 64009601 72640109 192028803 217920327 704105611 799041199 2112316833 2397123597 6464969701 19394909103 71114666711 213344000133