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90302120309 is a prime number
BaseRepresentation
bin101010000011001101…
…1010000000101110101
322122002022101000021102
41110012123100011311
52434414320322214
6105252331455445
76344525233532
oct1240633200565
9278068330242
1090302120309
113532a2135a5
1215601bb7585
1386915b31ab
1445290a3d89
152537b58bde
hex15066d0175

90302120309 has 2 divisors, whose sum is σ = 90302120310. Its totient is φ = 90302120308.

The previous prime is 90302120297. The next prime is 90302120329.

90302120309 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., 63414319684 + 26887800625 = 251822^2 + 163975^2 .

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-90302120309 is a prime.

It is a super-2 number, since 2×903021203092 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (90302120329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45151060154 + 45151060155.

It is an arithmetic number, because the mean of its divisors is an integer number (45151060155).

Almost surely, 290302120309 is an apocalyptic number.

It is an amenable number.

90302120309 is a deficient number, since it is larger than the sum of its proper divisors (1).

90302120309 is an equidigital number, since it uses as much as digits as its factorization.

90302120309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2916, while the sum is 29.

The spelling of 90302120309 in words is "ninety billion, three hundred two million, one hundred twenty thousand, three hundred nine".