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111020202209981 is a prime number
BaseRepresentation
bin11001001111100011100111…
…101101110011001010111101
3112120002102112202222210210102
4121033203213231303022331
5104022423333231204411
61032041550553450445
732245642051313141
oct3117434755631275
9476072482883712
10111020202209981
1132413448947499
1210550561110a25
1349c4210ac3aac
141d5b599469221
15cc7d54838d3b
hex64f8e7b732bd

111020202209981 has 2 divisors, whose sum is σ = 111020202209982. Its totient is φ = 111020202209980.

The previous prime is 111020202209957. The next prime is 111020202210031. The reversal of 111020202209981 is 189902202020111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85147974284356 + 25872227925625 = 9227566^2 + 5086475^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-111020202209981 is a prime.

It is a super-3 number, since 3×1110202022099813 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111020202209381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55510101104990 + 55510101104991.

It is an arithmetic number, because the mean of its divisors is an integer number (55510101104991).

Almost surely, 2111020202209981 is an apocalyptic number.

It is an amenable number.

111020202209981 is a deficient number, since it is larger than the sum of its proper divisors (1).

111020202209981 is an equidigital number, since it uses as much as digits as its factorization.

111020202209981 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 38.

The spelling of 111020202209981 in words is "one hundred eleven trillion, twenty billion, two hundred two million, two hundred nine thousand, nine hundred eighty-one".