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213322431 = 3722296337
BaseRepresentation
bin11001011011100…
…00101010111111
3112212101220100210
430231300222333
5414102304211
633100123503
75200132200
oct1455605277
9485356323
10213322431
11aa462333
125b536593
13352701ba
142048d5a7
1513adb9a6
hexcb70abf

213322431 has 24 divisors (see below), whose sum is σ = 332364720. Its totient is φ = 121347072.

The previous prime is 213322397. The next prime is 213322457. The reversal of 213322431 is 134223312.

It is not a de Polignac number, because 213322431 - 29 = 213321919 is a prime.

It is a super-2 number, since 2×2133224312 = 91012919135499522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 213322398 and 213322407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213322471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30495 + ... + 36831.

It is an arithmetic number, because the mean of its divisors is an integer number (13848530).

Almost surely, 2213322431 is an apocalyptic number.

213322431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

213322431 is a deficient number, since it is larger than the sum of its proper divisors (119042289).

213322431 is a wasteful number, since it uses less digits than its factorization.

213322431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6583 (or 6576 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 213322431 is about 14605.5616461675. The cubic root of 213322431 is about 597.5104539992.

Adding to 213322431 its reverse (134223312), we get a palindrome (347545743).

The spelling of 213322431 in words is "two hundred thirteen million, three hundred twenty-two thousand, four hundred thirty-one".

Divisors: 1 3 7 21 49 147 229 687 1603 4809 6337 11221 19011 33663 44359 133077 310513 931539 1451173 4353519 10158211 30474633 71107477 213322431