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31144022201 = 6118110492689
BaseRepresentation
bin11101000000010101…
…000001000010111001
32222101110222020210202
4131000111001002321
51002240332202301
622150220251545
72151530551355
oct350025010271
988343866722
1031144022201
1112231a96926
1260520a0bb5
132c243ba306
141716366465
15c242a866b
hex7405410b9

31144022201 has 16 divisors (see below), whose sum is σ = 31871658000. Its totient is φ = 30423859200.

The previous prime is 31144022149. The next prime is 31144022207. The reversal of 31144022201 is 10222044113.

It can be written as a sum of positive squares in 8 ways, for example, as 12972982201 + 18171040000 = 113899^2 + 134800^2 .

It is a cyclic number.

It is not a de Polignac number, because 31144022201 - 210 = 31144021177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31144022207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11580665 + ... + 11583353.

It is an arithmetic number, because the mean of its divisors is an integer number (1991978625).

Almost surely, 231144022201 is an apocalyptic number.

It is an amenable number.

31144022201 is a deficient number, since it is larger than the sum of its proper divisors (727635799).

31144022201 is a wasteful number, since it uses less digits than its factorization.

31144022201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3980.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 31144022201 its reverse (10222044113), we get a palindrome (41366066314).

The spelling of 31144022201 in words is "thirty-one billion, one hundred forty-four million, twenty-two thousand, two hundred one".

Divisors: 1 61 181 1049 2689 11041 63989 164029 189869 486709 2820761 11582009 29689249 172066421 510557741 31144022201