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31200330031 = 133728771999
BaseRepresentation
bin11101000011101011…
…110100000100101111
32222112101220222121221
4131003223310010233
51002344241030111
622155551204211
72153113300213
oct350353640457
988471828557
1031200330031
1112260855822
126068b16667
132c32c73860
14171da22943
15c291cc371
hex743af412f

31200330031 has 24 divisors (see below), whose sum is σ = 34589688000. Its totient is φ = 27975964032.

The previous prime is 31200329977. The next prime is 31200330037. The reversal of 31200330031 is 13003300213.

It is not a de Polignac number, because 31200330031 - 29 = 31200329519 is a prime.

It is a super-2 number, since 2×312003300312 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 31200329987 and 31200330014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31200330037) 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, 15606970 + ... + 15608968.

It is an arithmetic number, because the mean of its divisors is an integer number (1441237000).

Almost surely, 231200330031 is an apocalyptic number.

31200330031 is a deficient number, since it is larger than the sum of its proper divisors (3389357969).

31200330031 is a wasteful number, since it uses less digits than its factorization.

31200330031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2963 (or 2926 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 31200330031 its reverse (13003300213), we get a palindrome (44203630244).

The spelling of 31200330031 in words is "thirty-one billion, two hundred million, three hundred thirty thousand, thirty-one".

Divisors: 1 13 37 481 877 1369 1999 11401 17797 25987 32449 73963 421837 961519 1200613 1753123 2736631 15607969 22790599 35576203 64865551 843252163 2400025387 31200330031