Search a number
-
+
31302130033021 is a prime number
BaseRepresentation
bin1110001111000000110000…
…10101110110000101111101
311002211110021021002002201011
413013200120111312011331
513100323230242024041
6150324000000515221
76410334651141451
oct707403025660575
9132743237062634
1031302130033021
119a791823a4611
12361669001bb11
131460a1690b553
147a306179c661
15394390be9e81
hex1c781857617d

31302130033021 has 2 divisors, whose sum is σ = 31302130033022. Its totient is φ = 31302130033020.

The previous prime is 31302130033003. The next prime is 31302130033039. The reversal of 31302130033021 is 12033003120313.

It is a balanced prime because it is at equal distance from previous prime (31302130033003) and next prime (31302130033039).

It can be written as a sum of positive squares in only one way, i.e., 20844602916921 + 10457527116100 = 4565589^2 + 3233810^2 .

It is a cyclic number.

It is not a de Polignac number, because 31302130033021 - 211 = 31302130030973 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31302130032983 and 31302130033001.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31302130033001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15651065016510 + 15651065016511.

It is an arithmetic number, because the mean of its divisors is an integer number (15651065016511).

Almost surely, 231302130033021 is an apocalyptic number.

It is an amenable number.

31302130033021 is a deficient number, since it is larger than the sum of its proper divisors (1).

31302130033021 is an equidigital number, since it uses as much as digits as its factorization.

31302130033021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 31302130033021 its reverse (12033003120313), we get a palindrome (43335133153334).

The spelling of 31302130033021 in words is "thirty-one trillion, three hundred two billion, one hundred thirty million, thirty-three thousand, twenty-one".