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31155324305 = 572127164589
BaseRepresentation
bin11101000001000000…
…001000010110010001
32222102021020110101012
4131001000020112101
51002301230334210
622151302420305
72152025613200
oct350100102621
988367213335
1031155324305
1112238406306
126055a31695
132c26846751
141717a69237
15c2528c305
hex741008591

31155324305 has 12 divisors (see below), whose sum is σ = 43490289780. Its totient is φ = 21363650784.

The previous prime is 31155324269. The next prime is 31155324307. The reversal of 31155324305 is 50342355113.

It can be written as a sum of positive squares in 2 ways, for example, as 12999648256 + 18155676049 = 114016^2 + 134743^2 .

It is not a de Polignac number, because 31155324305 - 26 = 31155324241 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (31155324307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63582050 + ... + 63582539.

It is an arithmetic number, because the mean of its divisors is an integer number (3624190815).

Almost surely, 231155324305 is an apocalyptic number.

31155324305 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

31155324305 is a deficient number, since it is larger than the sum of its proper divisors (12334965475).

31155324305 is a wasteful number, since it uses less digits than its factorization.

31155324305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127164608 (or 127164601 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 32.

Adding to 31155324305 its reverse (50342355113), we get a palindrome (81497679418).

The spelling of 31155324305 in words is "thirty-one billion, one hundred fifty-five million, three hundred twenty-four thousand, three hundred five".

Divisors: 1 5 7 35 49 245 127164589 635822945 890152123 4450760615 6231064861 31155324305