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212131323 = 32233727697
BaseRepresentation
bin11001010010011…
…01110111111011
3112210011101110200
430221031313323
5413301200243
633014413243
75154041445
oct1451156773
9483141420
10212131323
11a9819448
125b061223
1334c43cc1
142025d495
1513953ad3
hexca4ddfb

212131323 has 24 divisors (see below), whose sum is σ = 328387488. Its totient is φ = 131611392.

The previous prime is 212131319. The next prime is 212131363. The reversal of 212131323 is 323131212.

212131323 is a `hidden beast` number, since 212 + 131 + 323 = 666.

It is not a de Polignac number, because 212131323 - 22 = 212131319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212131296 and 212131305.

It is not an unprimeable number, because it can be changed into a prime (212131363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6190 + ... + 21507.

It is an arithmetic number, because the mean of its divisors is an integer number (13682812).

Almost surely, 2212131323 is an apocalyptic number.

212131323 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

212131323 is a deficient number, since it is larger than the sum of its proper divisors (116256165).

212131323 is a wasteful number, since it uses less digits than its factorization.

212131323 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27763 (or 27760 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 212131323 is about 14564.7287307385. The cubic root of 212131323 is about 596.3962904630.

Adding to 212131323 its reverse (323131212), we get a palindrome (535262535).

The spelling of 212131323 in words is "two hundred twelve million, one hundred thirty-one thousand, three hundred twenty-three".

Divisors: 1 3 9 23 37 69 111 207 333 851 2553 7659 27697 83091 249273 637031 1024789 1911093 3074367 5733279 9223101 23570147 70710441 212131323