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131010030001 = 1789197439541
BaseRepresentation
bin111101000000011001…
…1100110100110110001
3110112011022111002022101
41322000303212212301
54121302031430001
6140103555340401
712315356611144
oct1720063464661
9415138432271
10131010030001
1150619823674
1221482bb1701
13c47b214116
1464ab6a805b
15361b876a01
hex1e80ce69b1

131010030001 has 16 divisors (see below), whose sum is σ = 140987491920. Its totient is φ = 121298974720.

The previous prime is 131010029999. The next prime is 131010030013. The reversal of 131010030001 is 100030010131.

It can be written as a sum of positive squares in 8 ways, for example, as 111513600 + 130898516401 = 10560^2 + 361799^2 .

It is a cyclic number.

It is not a de Polignac number, because 131010030001 - 21 = 131010029999 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131010030001.

It is not an unprimeable number, because it can be changed into a prime (131010030091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78291 + ... + 517831.

It is an arithmetic number, because the mean of its divisors is an integer number (8811718245).

Almost surely, 2131010030001 is an apocalyptic number.

It is an amenable number.

131010030001 is a deficient number, since it is larger than the sum of its proper divisors (9977461919).

131010030001 is a wasteful number, since it uses less digits than its factorization.

131010030001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439844.

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 131010030001 its reverse (100030010131), we get a palindrome (231040040132).

The spelling of 131010030001 in words is "one hundred thirty-one billion, ten million, thirty thousand, one".

Divisors: 1 17 89 197 1513 3349 17533 298061 439541 7472197 39119149 86589577 665025533 1472022809 7706472353 131010030001