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31122302201 = 181523732833
BaseRepresentation
bin11100111111000010…
…001010010011111001
32222022222002202120022
4130333002022103321
51002214302132301
622144122540225
72151145126634
oct347702122371
988288082508
1031122302201
1112220801311
126046967675
132c1ca54043
141713510c1b
15c22417d1b
hex73f08a4f9

31122302201 has 8 divisors (see below), whose sum is σ = 31301177544. Its totient is φ = 30943503360.

The previous prime is 31122302153. The next prime is 31122302227. The reversal of 31122302201 is 10220322113.

It can be written as a sum of positive squares in 4 ways, for example, as 3141042025 + 27981260176 = 56045^2 + 167276^2 .

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 31122302201 - 218 = 31122040057 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 31122302201.

It is not an unprimeable number, because it can be changed into a prime (31122602201) 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 7 ways as a sum of consecutive naturals, for example, 931481 + ... + 964313.

It is an arithmetic number, because the mean of its divisors is an integer number (3912647193).

Almost surely, 231122302201 is an apocalyptic number.

It is an amenable number.

31122302201 is a deficient number, since it is larger than the sum of its proper divisors (178875343).

31122302201 is a wasteful number, since it uses less digits than its factorization.

31122302201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38251.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 31122302201 its reverse (10220322113), we get a palindrome (41342624314).

The spelling of 31122302201 in words is "thirty-one billion, one hundred twenty-two million, three hundred two thousand, two hundred one".

Divisors: 1 181 5237 32833 947897 5942773 171946421 31122302201