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213363363312 = 243211134699093
BaseRepresentation
bin1100011010110101110…
…0101000110111110000
3202101201122210212201100
43012231130220313300
511443432010111222
6242003501204400
721262225443621
oct3065534506760
9671648725640
10213363363312
118253a068910
1235426b60700
1317173a75748
14a480bd5a48
15583b74e4ac
hex31ad728df0

213363363312 has 60 divisors (see below), whose sum is σ = 651404818584. Its totient is φ = 64655564160.

The previous prime is 213363363253. The next prime is 213363363313.

213363363312 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 6 + 3 + 3 + 633 + 12 = 666.

213363363312 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213363363313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67347963 + ... + 67351130.

Almost surely, 2213363363312 is an apocalyptic number.

213363363312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

213363363312 is an abundant number, since it is smaller than the sum of its proper divisors (438041455272).

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

213363363312 is a wasteful number, since it uses less digits than its factorization.

213363363312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134699118 (or 134699109 counting only the distinct ones).

The product of its digits is 104976, while the sum is 36.

It can be divided in two parts, 213363 and 363312, that added together give a palindrome (576675).

The spelling of 213363363312 in words is "two hundred thirteen billion, three hundred sixty-three million, three hundred sixty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 134699093 269398186 404097279 538796372 808194558 1077592744 1212291837 1481690023 1616389116 2155185488 2424583674 2963380046 3232778232 4445070069 4849167348 5926760092 6465556464 8890140138 9698334696 11853520184 13335210207 17780280276 19396669392 23707040368 26670420414 35560560552 53340840828 71121121104 106681681656 213363363312