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213002331 = 3195963337
BaseRepresentation
bin11001011001000…
…10100001011011
3112211210122021020
430230202201123
5414012033311
633045213523
75164330023
oct1454424133
9484718236
10213002331
11aa263893
125b4012a3
133518a5a9
1420408a83
1513a76c06
hexcb2285b

213002331 has 16 divisors (see below), whose sum is σ = 304022400. Its totient is φ = 132245568.

The previous prime is 213002329. The next prime is 213002351. The reversal of 213002331 is 133200312.

It is not a de Polignac number, because 213002331 - 21 = 213002329 is a prime.

It is a super-2 number, since 2×2130023312 = 90739986022867122, which contains 22 as substring.

213002331 is a modest number, since divided by 2331 gives 213 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 213002331.

It is not an unprimeable number, because it can be changed into a prime (213002311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28306 + ... + 35031.

It is an arithmetic number, because the mean of its divisors is an integer number (19001400).

Almost surely, 2213002331 is an apocalyptic number.

213002331 is a deficient number, since it is larger than the sum of its proper divisors (91020069).

213002331 is a wasteful number, since it uses less digits than its factorization.

213002331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63418.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 213002331 is about 14594.5993778521. The cubic root of 213002331 is about 597.2114405268.

Adding to 213002331 its reverse (133200312), we get a palindrome (346202643).

The spelling of 213002331 in words is "two hundred thirteen million, two thousand, three hundred thirty-one".

Divisors: 1 3 19 57 59 177 1121 3363 63337 190011 1203403 3610209 3736883 11210649 71000777 213002331