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101133404149 is a prime number
BaseRepresentation
bin101111000110000000…
…1010100011111110101
3100200001011100020110011
41132030001110133311
53124110122413044
6114243211500221
710210115515531
oct1361401243765
9320034306404
10101133404149
1139988196448
1217725457671
1396c958799b
144c757b6bc1
15296d9bd134
hex178c0547f5

101133404149 has 2 divisors, whose sum is σ = 101133404150. Its totient is φ = 101133404148.

The previous prime is 101133404143. The next prime is 101133404191. The reversal of 101133404149 is 941404331101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89970002500 + 11163401649 = 299950^2 + 105657^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101133404149 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101133404149.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101133404143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50566702074 + 50566702075.

It is an arithmetic number, because the mean of its divisors is an integer number (50566702075).

Almost surely, 2101133404149 is an apocalyptic number.

It is an amenable number.

101133404149 is a deficient number, since it is larger than the sum of its proper divisors (1).

101133404149 is an equidigital number, since it uses as much as digits as its factorization.

101133404149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 31.

The spelling of 101133404149 in words is "one hundred one billion, one hundred thirty-three million, four hundred four thousand, one hundred forty-nine".