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213401643 = 37135913249
BaseRepresentation
bin11001011100001…
…00000000101011
3112212112221000120
430232010000223
5414112323033
633101534323
75200612140
oct1456040053
9485487016
10213401643
11aa5068a4
125b5743a3
133529a280
14204b03c7
1513b051b3
hexcb8402b

213401643 has 32 divisors (see below), whose sum is σ = 356160000. Its totient is φ = 110647296.

The previous prime is 213401641. The next prime is 213401651. The reversal of 213401643 is 346104312.

It is not a de Polignac number, because 213401643 - 21 = 213401641 is a prime.

It is a super-4 number, since 4×2134016434 (a number of 34 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (213401641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9483 + ... + 22731.

It is an arithmetic number, because the mean of its divisors is an integer number (11130000).

Almost surely, 2213401643 is an apocalyptic number.

213401643 is a deficient number, since it is larger than the sum of its proper divisors (142758357).

213401643 is a wasteful number, since it uses less digits than its factorization.

213401643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13331.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 213401643 is about 14608.2731012259. The cubic root of 213401643 is about 597.5844017486.

Adding to 213401643 its reverse (346104312), we get a palindrome (559505955).

It can be divided in two parts, 213 and 401643, that added together give a triangular number (401856 = T896).

The spelling of 213401643 in words is "two hundred thirteen million, four hundred one thousand, six hundred forty-three".

Divisors: 1 3 7 13 21 39 59 91 177 273 413 767 1239 2301 5369 13249 16107 39747 92743 172237 278229 516711 781691 1205659 2345073 3616977 5471837 10161983 16415511 30485949 71133881 213401643