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100035152561 is a prime number
BaseRepresentation
bin101110100101010001…
…1110100101010110001
3100120012121210021111102
41131022203310222301
53114332444340221
6113542220254145
710140651524051
oct1351243645261
9316177707442
10100035152561
1139474265803
12174796a1355
139582b99a86
144bad9b1561
15290738030b
hex174a8f4ab1

100035152561 has 2 divisors, whose sum is σ = 100035152562. Its totient is φ = 100035152560.

The previous prime is 100035152543. The next prime is 100035152653. The reversal of 100035152561 is 165251530001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69769939600 + 30265212961 = 264140^2 + 173969^2 .

It is a cyclic number.

It is not a de Polignac number, because 100035152561 - 222 = 100030958257 is a prime.

It is not a weakly prime, because it can be changed into another prime (100035952561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50017576280 + 50017576281.

It is an arithmetic number, because the mean of its divisors is an integer number (50017576281).

Almost surely, 2100035152561 is an apocalyptic number.

It is an amenable number.

100035152561 is a deficient number, since it is larger than the sum of its proper divisors (1).

100035152561 is an equidigital number, since it uses as much as digits as its factorization.

100035152561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4500, while the sum is 29.

Adding to 100035152561 its reverse (165251530001), we get a palindrome (265286682562).

The spelling of 100035152561 in words is "one hundred billion, thirty-five million, one hundred fifty-two thousand, five hundred sixty-one".