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111100005101 is a prime number
BaseRepresentation
bin110011101111000010…
…0111000101011101101
3101121202202021000200202
41213132010320223231
53310013100130401
6123012202403245
711012106314261
oct1473604705355
9347682230622
10111100005101
1143132069238
1219647200525
13a62737ccb7
14553d3240a1
152d5398006b
hex19de138aed

111100005101 has 2 divisors, whose sum is σ = 111100005102. Its totient is φ = 111100005100.

The previous prime is 111100005097. The next prime is 111100005139. The reversal of 111100005101 is 101500001111.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 110785794025 + 314211076 = 332845^2 + 17726^2 .

It is a cyclic number.

It is not a de Polignac number, because 111100005101 - 22 = 111100005097 is a prime.

It is a super-2 number, since 2×1111000051012 (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 (111100005301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55550002550 + 55550002551.

It is an arithmetic number, because the mean of its divisors is an integer number (55550002551).

Almost surely, 2111100005101 is an apocalyptic number.

It is an amenable number.

111100005101 is a deficient number, since it is larger than the sum of its proper divisors (1).

111100005101 is an equidigital number, since it uses as much as digits as its factorization.

111100005101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5, while the sum is 11.

Adding to 111100005101 its reverse (101500001111), we get a palindrome (212600006212).

The spelling of 111100005101 in words is "one hundred eleven billion, one hundred million, five thousand, one hundred one".