Search a number
-
+
101261361533 is a prime number
BaseRepresentation
bin101111001001110100…
…1011100000101111101
3100200101002010010222112
41132103221130011331
53124340402032113
6114304022223405
710213231241243
oct1362351340575
9320332103875
10101261361533
1139a43442752
1217760284b65
139719c39807
144c887a4793
152979d465a8
hex1793a5c17d

101261361533 has 2 divisors, whose sum is σ = 101261361534. Its totient is φ = 101261361532.

The previous prime is 101261361503. The next prime is 101261361541. The reversal of 101261361533 is 335163162101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65631778969 + 35629582564 = 256187^2 + 188758^2 .

It is an emirp because it is prime and its reverse (335163162101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101261361533 - 28 = 101261361277 is a prime.

It is a super-2 number, since 2×1012613615332 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101261361533.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101261361503) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50630680766 + 50630680767.

It is an arithmetic number, because the mean of its divisors is an integer number (50630680767).

Almost surely, 2101261361533 is an apocalyptic number.

It is an amenable number.

101261361533 is a deficient number, since it is larger than the sum of its proper divisors (1).

101261361533 is an equidigital number, since it uses as much as digits as its factorization.

101261361533 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9720, while the sum is 32.

The spelling of 101261361533 in words is "one hundred one billion, two hundred sixty-one million, three hundred sixty-one thousand, five hundred thirty-three".