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101626141 is a prime number
BaseRepresentation
bin1100000111010…
…11000100011101
321002020010212011
412003223010131
5202004014031
614030111221
72342544061
oct603530435
9232203764
10101626141
1152402251
122a04b511
1318092a16
14d6d5aa1
158dc66b1
hex60eb11d

101626141 has 2 divisors, whose sum is σ = 101626142. Its totient is φ = 101626140.

The previous prime is 101626127. The next prime is 101626159. The reversal of 101626141 is 141626101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99082116 + 2544025 = 9954^2 + 1595^2 .

It is an emirp because it is prime and its reverse (141626101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101626141 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101626111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50813070 + 50813071.

It is an arithmetic number, because the mean of its divisors is an integer number (50813071).

Almost surely, 2101626141 is an apocalyptic number.

It is an amenable number.

101626141 is a deficient number, since it is larger than the sum of its proper divisors (1).

101626141 is an equidigital number, since it uses as much as digits as its factorization.

101626141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 101626141 is about 10080.9791687117. The cubic root of 101626141 is about 466.6613268663.

The spelling of 101626141 in words is "one hundred one million, six hundred twenty-six thousand, one hundred forty-one".