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212306523 = 311131743677
BaseRepresentation
bin11001010011110…
…00101001011011
3112210111021210120
430221320221123
5413322302043
633022244323
75155401312
oct1451705133
9483437716
10212306523
11a9929040
125b1266a3
1334ca5980
14202a7279
151398a983
hexca78a5b

212306523 has 64 divisors (see below), whose sum is σ = 360847872. Its totient is φ = 109025280.

The previous prime is 212306503. The next prime is 212306531. The reversal of 212306523 is 325603212.

It is not a de Polignac number, because 212306523 - 212 = 212302427 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212306493 and 212306502.

It is not an unprimeable number, because it can be changed into a prime (212306503) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 313261 + ... + 313937.

It is an arithmetic number, because the mean of its divisors is an integer number (5638248).

Almost surely, 2212306523 is an apocalyptic number.

212306523 is a deficient number, since it is larger than the sum of its proper divisors (148541349).

212306523 is a wasteful number, since it uses less digits than its factorization.

212306523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764.

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 212306523 is about 14570.7420195404. The cubic root of 212306523 is about 596.5604338750.

Adding to 212306523 its reverse (325603212), we get a palindrome (537909735).

The spelling of 212306523 in words is "two hundred twelve million, three hundred six thousand, five hundred twenty-three".

Divisors: 1 3 11 13 17 33 39 43 51 129 143 187 221 429 473 559 561 663 677 731 1419 1677 2031 2193 2431 6149 7293 7447 8041 8801 9503 11509 18447 22341 24123 26403 28509 29111 34527 87333 96811 104533 126599 149617 290433 313599 320221 378443 379797 448851 494887 960663 1135329 1484661 1645787 4162873 4937361 5443757 6433531 12488619 16331271 19300593 70768841 212306523