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101201118149 is a prime number
BaseRepresentation
bin101111001000000001…
…1101000001111000101
3100200012212202110121002
41132100003220033011
53124224441240044
6114254031103045
710211600211455
oct1362003501705
9320185673532
10101201118149
1139a12435a2a
1217744071a85
13970a605b41
144c807a1d65
1529748e674e
hex17900e83c5

101201118149 has 2 divisors, whose sum is σ = 101201118150. Its totient is φ = 101201118148.

The previous prime is 101201118121. The next prime is 101201118157. The reversal of 101201118149 is 941811102101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101048965924 + 152152225 = 317882^2 + 12335^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101201118149 is a prime.

It is a super-3 number, since 3×1012011181493 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101201148149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50600559074 + 50600559075.

It is an arithmetic number, because the mean of its divisors is an integer number (50600559075).

Almost surely, 2101201118149 is an apocalyptic number.

It is an amenable number.

101201118149 is a deficient number, since it is larger than the sum of its proper divisors (1).

101201118149 is an equidigital number, since it uses as much as digits as its factorization.

101201118149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 29.

The spelling of 101201118149 in words is "one hundred one billion, two hundred one million, one hundred eighteen thousand, one hundred forty-nine".