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20011111198181 is a prime number
BaseRepresentation
bin1001000110011001100110…
…01011001010110111100101
32121212001011202010212010022
410203030303023022313211
510110330223431320211
6110320551053404525
74133516663446445
oct443146313126745
977761152125108
1020011111198181
116415734645754
1222b2354799745
13b22069272c0c
144d2785bd6125
1524a80558cbdb
hex1233332cade5

20011111198181 has 2 divisors, whose sum is σ = 20011111198182. Its totient is φ = 20011111198180.

The previous prime is 20011111198123. The next prime is 20011111198223. The reversal of 20011111198181 is 18189111111002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19651400340100 + 359710858081 = 4432990^2 + 599759^2 .

It is a cyclic number.

It is not a de Polignac number, because 20011111198181 - 234 = 19993931328997 is a prime.

It is a super-2 number, since 2×200111111981812 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20011111198381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10005555599090 + 10005555599091.

It is an arithmetic number, because the mean of its divisors is an integer number (10005555599091).

Almost surely, 220011111198181 is an apocalyptic number.

It is an amenable number.

20011111198181 is a deficient number, since it is larger than the sum of its proper divisors (1).

20011111198181 is an equidigital number, since it uses as much as digits as its factorization.

20011111198181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 35.

The spelling of 20011111198181 in words is "twenty trillion, eleven billion, one hundred eleven million, one hundred ninety-eight thousand, one hundred eighty-one".