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212313223122 = 237111335350187
BaseRepresentation
bin1100010110111011011…
…0101010111111010010
3202022000110210020012020
43011232312222333102
511434304141114442
6241311345112310
721224214422460
oct3055666527722
9668013706166
10212313223122
1182050308a60
1235193328696
1317037331410
14a3c1555830
1557c94669ec
hex316edaafd2

212313223122 has 64 divisors (see below), whose sum is σ = 570127832064. Its totient is φ = 50904267840.

The previous prime is 212313223121. The next prime is 212313223127. The reversal of 212313223122 is 221322313212.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 212313223092 and 212313223101.

It is not an unprimeable number, because it can be changed into a prime (212313223121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17669088 + ... + 17681099.

It is an arithmetic number, because the mean of its divisors is an integer number (8908247376).

Almost surely, 2212313223122 is an apocalyptic number.

212313223122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

212313223122 is an abundant number, since it is smaller than the sum of its proper divisors (357814608942).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212313223122 is a wasteful number, since it uses less digits than its factorization.

212313223122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35350223.

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

Adding to 212313223122 its reverse (221322313212), we get a palindrome (433635536334).

The spelling of 212313223122 in words is "two hundred twelve billion, three hundred thirteen million, two hundred twenty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 858 1001 2002 3003 6006 35350187 70700374 106050561 212101122 247451309 388852057 459552431 494902618 742353927 777704114 919104862 1166556171 1378657293 1484707854 2333112342 2721964399 2757314586 3216867017 5055076741 5443928798 6433734034 8165893197 9650601051 10110153482 15165230223 16331786394 19301202102 30330460446 35385537187 70771074374 106156611561 212313223122