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3000131321381 is a prime number
BaseRepresentation
bin101011101010000101110…
…000101111111000100101
3101121210212022101002111222
4223222011300233320211
5343123232104241011
610214124042110125
7426516023320205
oct53520560577045
911553768332458
103000131321381
11a57391a10447
12405541aab345
13189bacabbc6c
14a52c851c405
1553091033ddb
hex2ba85c2fe25

3000131321381 has 2 divisors, whose sum is σ = 3000131321382. Its totient is φ = 3000131321380.

The previous prime is 3000131321269. The next prime is 3000131321393. The reversal of 3000131321381 is 1831231310003.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1943417224225 + 1056714097156 = 1394065^2 + 1027966^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3000131321381 is a prime.

It is a super-2 number, since 2×30001313213812 (a number of 26 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3000131321381.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3000131351381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1500065660690 + 1500065660691.

It is an arithmetic number, because the mean of its divisors is an integer number (1500065660691).

Almost surely, 23000131321381 is an apocalyptic number.

It is an amenable number.

3000131321381 is a deficient number, since it is larger than the sum of its proper divisors (1).

3000131321381 is an equidigital number, since it uses as much as digits as its factorization.

3000131321381 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 3000131321381 its reverse (1831231310003), we get a palindrome (4831362631384).

The spelling of 3000131321381 in words is "three trillion, one hundred thirty-one million, three hundred twenty-one thousand, three hundred eighty-one".