Search a number
-
+
312213122232 = 2331110111709163
BaseRepresentation
bin1001000101100010101…
…10100010110010111000
31002211212200001220211120
410202301112202302320
520103403024402412
6355232334425240
731361634515604
oct4426126426270
91084780056746
10312213122232
11110455193850
1250613662220
132359819345b
141117b19a504
1581c49cbb8c
hex48b15a2cb8

312213122232 has 64 divisors (see below), whose sum is σ = 859921004160. Its totient is φ = 93673296000.

The previous prime is 312213122227. The next prime is 312213122233. The reversal of 312213122232 is 232221312213.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312213122233) 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 15 ways as a sum of consecutive naturals, for example, 5827918 + ... + 5881245.

It is an arithmetic number, because the mean of its divisors is an integer number (13436265690).

Almost surely, 2312213122232 is an apocalyptic number.

It is an amenable number.

312213122232 is an abundant number, since it is smaller than the sum of its proper divisors (547707881928).

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

312213122232 is a wasteful number, since it uses less digits than its factorization.

312213122232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11709284 (or 11709280 counting only the distinct ones).

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

Adding to 312213122232 its reverse (232221312213), we get a palindrome (544434434445).

The spelling of 312213122232 in words is "three hundred twelve billion, two hundred thirteen million, one hundred twenty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 101 132 202 264 303 404 606 808 1111 1212 2222 2424 3333 4444 6666 8888 13332 26664 11709163 23418326 35127489 46836652 70254978 93673304 128800793 140509956 257601586 281019912 386402379 515203172 772804758 1030406344 1182625463 1545609516 2365250926 3091219032 3547876389 4730501852 7095752778 9461003704 13008880093 14191505556 26017760186 28383011112 39026640279 52035520372 78053280558 104071040744 156106561116 312213122232