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90031213009 is a prime number
BaseRepresentation
bin101001111011001000…
…1110100100111010001
322121101102121111022201
41103312101310213101
52433340442304014
6105205413203201
76335025453403
oct1236621644721
9277342544281
1090031213009
11352002aa971
1215547330501
13864a43040a
144501104b73
15251de94e74
hex14f64749d1

90031213009 has 2 divisors, whose sum is σ = 90031213010. Its totient is φ = 90031213008.

The previous prime is 90031212991. The next prime is 90031213031.

90031213009 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85951580625 + 4079632384 = 293175^2 + 63872^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 90031213009 - 29 = 90031212497 is a prime.

It is not a weakly prime, because it can be changed into another prime (90031213039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45015606504 + 45015606505.

It is an arithmetic number, because the mean of its divisors is an integer number (45015606505).

Almost surely, 290031213009 is an apocalyptic number.

It is an amenable number.

90031213009 is a deficient number, since it is larger than the sum of its proper divisors (1).

90031213009 is an equidigital number, since it uses as much as digits as its factorization.

90031213009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 28.

The spelling of 90031213009 in words is "ninety billion, thirty-one million, two hundred thirteen thousand, nine".