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55101006061 is a prime number
BaseRepresentation
bin110011010100010001…
…101010000011101101
312021020002021010110021
4303110101222003231
51400321324143221
641151341442141
73660311552353
oct632421520355
9167202233407
1055101006061
1121406099442
12a819270351
135271804cca
142949da57d3
1516775ee041
hexcd446a0ed

55101006061 has 2 divisors, whose sum is σ = 55101006062. Its totient is φ = 55101006060.

The previous prime is 55101006043. The next prime is 55101006071. The reversal of 55101006061 is 16060010155.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 35092903561 + 20008102500 = 187331^2 + 141450^2 .

It is a cyclic number.

It is not a de Polignac number, because 55101006061 - 25 = 55101006029 is a prime.

It is a super-3 number, since 3×551010060613 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (55101006001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27550503030 + 27550503031.

It is an arithmetic number, because the mean of its divisors is an integer number (27550503031).

Almost surely, 255101006061 is an apocalyptic number.

It is an amenable number.

55101006061 is a deficient number, since it is larger than the sum of its proper divisors (1).

55101006061 is an equidigital number, since it uses as much as digits as its factorization.

55101006061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 900, while the sum is 25.

The spelling of 55101006061 in words is "fifty-five billion, one hundred one million, six thousand, sixty-one".