Search a number
-
+
101020937 is a prime number
BaseRepresentation
bin1100000010101…
…11010100001001
321001002101200012
412001113110021
5201330132222
614005121305
72334443453
oct601272411
9231071605
10101020937
1152029586
12299b9235
1317c10404
14d5b92d3
158d071e2
hex6057509

101020937 has 2 divisors, whose sum is σ = 101020938. Its totient is φ = 101020936.

The previous prime is 101020883. The next prime is 101020943. The reversal of 101020937 is 739020101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56010256 + 45010681 = 7484^2 + 6709^2 .

It is an emirp because it is prime and its reverse (739020101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101020937 - 210 = 101019913 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (101020037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510468 + 50510469.

It is an arithmetic number, because the mean of its divisors is an integer number (50510469).

Almost surely, 2101020937 is an apocalyptic number.

It is an amenable number.

101020937 is a deficient number, since it is larger than the sum of its proper divisors (1).

101020937 is an equidigital number, since it uses as much as digits as its factorization.

101020937 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378, while the sum is 23.

The square root of 101020937 is about 10050.9172218261. The cubic root of 101020937 is about 465.7331280317.

The spelling of 101020937 in words is "one hundred one million, twenty thousand, nine hundred thirty-seven".