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323132120223 = 31159210127851
BaseRepresentation
bin1001011001111000010…
…11001101110010011111
31010220001122002111012120
410230330023031302133
520243233310321343
6404240030434023
732226341463153
oct4547413156237
91126048074176
10323132120223
11115048726630
1252760362913
1324618399603
14118d53c3063
1586133ba683
hex4b3c2cdc9f

323132120223 has 48 divisors (see below), whose sum is σ = 482862771072. Its totient is φ = 190605400000.

The previous prime is 323132120189. The next prime is 323132120279. The reversal of 323132120223 is 322021231323.

It is not a de Polignac number, because 323132120223 - 26 = 323132120159 is a prime.

It is a super-2 number, since 2×3231321202232 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 323132120193 and 323132120202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323132120023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11588248 + ... + 11616098.

It is an arithmetic number, because the mean of its divisors is an integer number (10059641064).

Almost surely, 2323132120223 is an apocalyptic number.

323132120223 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

323132120223 is a deficient number, since it is larger than the sum of its proper divisors (159730650849).

323132120223 is a wasteful number, since it uses less digits than its factorization.

323132120223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28084 (or 28025 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 323132120223 its reverse (322021231323), we get a palindrome (645153351546).

Subtracting from 323132120223 its reverse (322021231323), we obtain a square (1110888900 = 333302).

The spelling of 323132120223 in words is "three hundred twenty-three billion, one hundred thirty-two million, one hundred twenty thousand, two hundred twenty-three".

Divisors: 1 3 11 33 59 101 177 303 649 1111 1947 3333 3481 5959 10443 17877 27851 38291 65549 83553 114873 196647 306361 351581 919083 1054743 1643209 2812951 3867391 4929627 8438853 11602173 18075299 30942461 54225897 92827383 96949331 165964109 290847993 497892327 1066442641 1825605199 3199327923 5476815597 9791882431 29375647293 107710706741 323132120223