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31222010041 is a prime number
BaseRepresentation
bin11101000100111110…
…100001000010111001
32222120220201110000021
4131010332201002321
51002420313310131
622202044010441
72153465464225
oct350476410271
988526643007
1031222010041
1112272013292
126074230a21
132c375c4871
141722867785
15c2b060e11
hex744fa10b9

31222010041 has 2 divisors, whose sum is σ = 31222010042. Its totient is φ = 31222010040.

The previous prime is 31222010009. The next prime is 31222010047. The reversal of 31222010041 is 14001022213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31197803641 + 24206400 = 176629^2 + 4920^2 .

It is a cyclic number.

It is not a de Polignac number, because 31222010041 - 25 = 31222010009 is a prime.

It is a super-2 number, since 2×312220100412 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31222009997 and 31222010024.

It is not a weakly prime, because it can be changed into another prime (31222010047) 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 as a sum of consecutive naturals, namely, 15611005020 + 15611005021.

It is an arithmetic number, because the mean of its divisors is an integer number (15611005021).

Almost surely, 231222010041 is an apocalyptic number.

It is an amenable number.

31222010041 is a deficient number, since it is larger than the sum of its proper divisors (1).

31222010041 is an equidigital number, since it uses as much as digits as its factorization.

31222010041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 31222010041 its reverse (14001022213), we get a palindrome (45223032254).

The spelling of 31222010041 in words is "thirty-one billion, two hundred twenty-two million, ten thousand, forty-one".