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101011109981 is a prime number
BaseRepresentation
bin101111000010010111…
…0110011100001011101
3100122201122020001101112
41132010232303201131
53123332321004411
6114223122351405
710204102161005
oct1360456634135
9318648201345
10101011109981
1139925157a91
12176b04bb565
1396aa139782
144c63461005
152962db2b8b
hex1784bb385d

101011109981 has 2 divisors, whose sum is σ = 101011109982. Its totient is φ = 101011109980.

The previous prime is 101011109957. The next prime is 101011110001. The reversal of 101011109981 is 189901110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81205051225 + 19806058756 = 284965^2 + 140734^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011109981 - 226 = 100944001117 is a prime.

It is a super-2 number, since 2×1010111099812 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101011109921) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505554990 + 50505554991.

It is an arithmetic number, because the mean of its divisors is an integer number (50505554991).

Almost surely, 2101011109981 is an apocalyptic number.

It is an amenable number.

101011109981 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011109981 is an equidigital number, since it uses as much as digits as its factorization.

101011109981 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 32.

The spelling of 101011109981 in words is "one hundred one billion, eleven million, one hundred nine thousand, nine hundred eighty-one".