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31031020033 = 1315629152729
BaseRepresentation
bin11100111001100101…
…111100101000000001
32222002121100010222021
4130321211330220001
51002022420120113
622131102241441
72145656214106
oct347145745001
988077303867
1031031020033
1112184224702
126020286281
132c06b73620
14170534caad
15c193d648d
hex73997ca01

31031020033 has 8 divisors (see below), whose sum is σ = 33420378600. Its totient is φ = 28641998208.

The previous prime is 31031020021. The next prime is 31031020073. The reversal of 31031020033 is 33002013013.

It can be written as a sum of positive squares in 4 ways, for example, as 4033901169 + 26997118864 = 63513^2 + 164308^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 31031020033 - 217 = 31030888961 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 31031019989 and 31031020016.

It is not an unprimeable number, because it can be changed into a prime (31031020003) 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 7 ways as a sum of consecutive naturals, for example, 126813 + ... + 279541.

It is an arithmetic number, because the mean of its divisors is an integer number (4177547325).

Almost surely, 231031020033 is an apocalyptic number.

It is an amenable number.

31031020033 is a deficient number, since it is larger than the sum of its proper divisors (2389358567).

31031020033 is a wasteful number, since it uses less digits than its factorization.

31031020033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168371.

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

Adding to 31031020033 its reverse (33002013013), we get a palindrome (64033033046).

The spelling of 31031020033 in words is "thirty-one billion, thirty-one million, twenty thousand, thirty-three".

Divisors: 1 13 15629 152729 203177 1985477 2387001541 31031020033