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31230123201 = 3297230915493
BaseRepresentation
bin11101000101011101…
…011101110011000001
32222121110222122011200
4131011131131303001
51002424402420301
622202533531413
72153624444604
oct350535356301
988543878150
1031230123201
1112276654882
126076aa3b69
132c391a5654
14172397a33b
15c2bb14c86
hex74575dcc1

31230123201 has 24 divisors (see below), whose sum is σ = 45597912360. Its totient is φ = 20595188736.

The previous prime is 31230123157. The next prime is 31230123203. The reversal of 31230123201 is 10232103213.

31230123201 is a `hidden beast` number, since 312 + 30 + 1 + 2 + 320 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2153052801 + 29077070400 = 46401^2 + 170520^2 .

It is not a de Polignac number, because 31230123201 - 219 = 31229598913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31230123203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2008011 + ... + 2023503.

It is an arithmetic number, because the mean of its divisors is an integer number (1899913015).

Almost surely, 231230123201 is an apocalyptic number.

It is an amenable number.

31230123201 is a deficient number, since it is larger than the sum of its proper divisors (14367789159).

31230123201 is a wasteful number, since it uses less digits than its factorization.

31230123201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17905 (or 17902 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 31230123201 its reverse (10232103213), we get a palindrome (41462226414).

It can be divided in two parts, 3123012 and 3201, that added together give a palindrome (3126213).

The spelling of 31230123201 in words is "thirty-one billion, two hundred thirty million, one hundred twenty-three thousand, two hundred one".

Divisors: 1 3 9 97 291 873 2309 6927 15493 20781 46479 139437 223973 671919 1502821 2015757 4508463 13525389 35773337 107320011 321960033 3470013689 10410041067 31230123201