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10111100100133 is a prime number
BaseRepresentation
bin1001001100100010110010…
…0001111001111000100101
31022210121111221200002212211
42103020230201321320211
52311130013111201013
633300550353443421
72062334325535624
oct223105441717045
938717457602784
1010111100100133
11324910345769a
121173722b70571
1358461b53c846
1426d5464796bb
1512802d8e123d
hex9322c879e25

10111100100133 has 2 divisors, whose sum is σ = 10111100100134. Its totient is φ = 10111100100132.

The previous prime is 10111100100043. The next prime is 10111100100137. The reversal of 10111100100133 is 33100100111101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6470475826369 + 3640624273764 = 2543713^2 + 1908042^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10111100100133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10111100100137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055550050066 + 5055550050067.

It is an arithmetic number, because the mean of its divisors is an integer number (5055550050067).

Almost surely, 210111100100133 is an apocalyptic number.

It is an amenable number.

10111100100133 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111100100133 is an equidigital number, since it uses as much as digits as its factorization.

10111100100133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 10111100100133 its reverse (33100100111101), we get a palindrome (43211200211234).

The spelling of 10111100100133 in words is "ten trillion, one hundred eleven billion, one hundred million, one hundred thousand, one hundred thirty-three".