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31111020821 is a prime number
BaseRepresentation
bin11100111110010111…
…001000000100010101
32222022011212121102102
4130332113020010111
51002203410131241
622143041051445
72150650212416
oct347627100425
988264777372
1031111020821
11122153a6461
126043026b85
132c1a60417a
141711c1580d
15c2143a39b
hex73e5c8115

31111020821 has 2 divisors, whose sum is σ = 31111020822. Its totient is φ = 31111020820.

The previous prime is 31111020803. The next prime is 31111020823. The reversal of 31111020821 is 12802011113.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27220380196 + 3890640625 = 164986^2 + 62375^2 .

It is an emirp because it is prime and its reverse (12802011113) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31111020821 - 26 = 31111020757 is a prime.

Together with 31111020823, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 31111020793 and 31111020802.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31111020823) 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, 15555510410 + 15555510411.

It is an arithmetic number, because the mean of its divisors is an integer number (15555510411).

Almost surely, 231111020821 is an apocalyptic number.

It is an amenable number.

31111020821 is a deficient number, since it is larger than the sum of its proper divisors (1).

31111020821 is an equidigital number, since it uses as much as digits as its factorization.

31111020821 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 20.

Adding to 31111020821 its reverse (12802011113), we get a palindrome (43913031934).

The spelling of 31111020821 in words is "thirty-one billion, one hundred eleven million, twenty thousand, eight hundred twenty-one".