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100041246401 is a prime number
BaseRepresentation
bin101110100101011101…
…1000100011011000001
3100120020001020212200012
41131022323010123001
53114341024341101
6113542555034305
710141054364255
oct1351273043301
9316201225605
10100041246401
1139477748138
121747b73b995
1395842216b5
144bb071a265
152907b85bbb
hex174aec46c1

100041246401 has 2 divisors, whose sum is σ = 100041246402. Its totient is φ = 100041246400.

The previous prime is 100041246397. The next prime is 100041246457. The reversal of 100041246401 is 104642140001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67641606400 + 32399640001 = 260080^2 + 179999^2 .

It is a cyclic number.

It is not a de Polignac number, because 100041246401 - 22 = 100041246397 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (100041246301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50020623200 + 50020623201.

It is an arithmetic number, because the mean of its divisors is an integer number (50020623201).

Almost surely, 2100041246401 is an apocalyptic number.

It is an amenable number.

100041246401 is a deficient number, since it is larger than the sum of its proper divisors (1).

100041246401 is an equidigital number, since it uses as much as digits as its factorization.

100041246401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 100041246401 its reverse (104642140001), we get a palindrome (204683386402).

The spelling of 100041246401 in words is "one hundred billion, forty-one million, two hundred forty-six thousand, four hundred one".