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31225141323 = 32174735312301
BaseRepresentation
bin11101000101001010…
…011101100001001011
32222121010121112022200
4131011022131201023
51002422114010243
622202235051243
72153534215305
oct350512354113
988533545280
1031225141323
1112273861922
1260752a0b23
132c3814cbac
141723040975
15c2b47dad3
hex74529d84b

31225141323 has 48 divisors (see below), whose sum is σ = 48914326656. Its totient is φ = 19119513600.

The previous prime is 31225141309. The next prime is 31225141327. The reversal of 31225141323 is 32314152213.

31225141323 is a `hidden beast` number, since 3 + 1 + 225 + 1 + 413 + 23 = 666.

It is not a de Polignac number, because 31225141323 - 29 = 31225140811 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31225141327) 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 47 ways as a sum of consecutive naturals, for example, 2532273 + ... + 2544573.

It is an arithmetic number, because the mean of its divisors is an integer number (1019048472).

Almost surely, 231225141323 is an apocalyptic number.

31225141323 is a deficient number, since it is larger than the sum of its proper divisors (17689185333).

31225141323 is a wasteful number, since it uses less digits than its factorization.

31225141323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12724 (or 12721 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

Adding to 31225141323 its reverse (32314152213), we get a palindrome (63539293536).

The spelling of 31225141323 in words is "thirty-one billion, two hundred twenty-five million, one hundred forty-one thousand, three hundred twenty-three".

Divisors: 1 3 9 17 47 51 141 153 353 423 799 1059 2397 3177 6001 7191 12301 16591 18003 36903 49773 54009 110709 149319 209117 282047 578147 627351 846141 1734441 1882053 2538423 4342253 5203323 9828499 13026759 29485497 39080277 73818301 88456491 204085891 221454903 612257673 664364709 1836773019 3469460147 10408380441 31225141323