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331132011097 is a prime number
BaseRepresentation
bin1001101000110010000…
…00011000001001011001
31011122201011022001102011
410310121000120021121
520411124243323342
6412041524105521
732631521440156
oct4643100301131
91148634261364
10331132011097
11118483429a98
12542135352a1
13252c18a1b54
1412053a5d22d
158930893717
hex4d19018259

331132011097 has 2 divisors, whose sum is σ = 331132011098. Its totient is φ = 331132011096.

The previous prime is 331132011083. The next prime is 331132011121. The reversal of 331132011097 is 790110231133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 329930764816 + 1201246281 = 574396^2 + 34659^2 .

It is a cyclic number.

It is not a de Polignac number, because 331132011097 - 27 = 331132010969 is a prime.

It is a super-2 number, since 2×3311320110972 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (331132011797) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165566005548 + 165566005549.

It is an arithmetic number, because the mean of its divisors is an integer number (165566005549).

Almost surely, 2331132011097 is an apocalyptic number.

It is an amenable number.

331132011097 is a deficient number, since it is larger than the sum of its proper divisors (1).

331132011097 is an equidigital number, since it uses as much as digits as its factorization.

331132011097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3402, while the sum is 31.

The spelling of 331132011097 in words is "three hundred thirty-one billion, one hundred thirty-two million, eleven thousand, ninety-seven".