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101131440001 is a prime number
BaseRepresentation
bin101111000101111100…
…1110100111110000001
3100200001000122110010221
41132023321310332001
53124104122040001
6114243101423041
710210063025254
oct1361371647601
9320030573127
10101131440001
1139987074789
121772486aa81
1396c904a977
144c7542509b
15296d7311a1
hex178be74f81

101131440001 has 2 divisors, whose sum is σ = 101131440002. Its totient is φ = 101131440000.

The previous prime is 101131439993. The next prime is 101131440017. The reversal of 101131440001 is 100044131101.

It is an a-pointer prime, because the next prime (101131440017) can be obtained adding 101131440001 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73888286976 + 27243153025 = 271824^2 + 165055^2 .

It is a cyclic number.

It is not a de Polignac number, because 101131440001 - 23 = 101131439993 is a prime.

It is not a weakly prime, because it can be changed into another prime (101131440071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50565720000 + 50565720001.

It is an arithmetic number, because the mean of its divisors is an integer number (50565720001).

Almost surely, 2101131440001 is an apocalyptic number.

It is an amenable number.

101131440001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101131440001 is an equidigital number, since it uses as much as digits as its factorization.

101131440001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 101131440001 its reverse (100044131101), we get a palindrome (201175571102).

The spelling of 101131440001 in words is "one hundred one billion, one hundred thirty-one million, four hundred forty thousand, one".