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930117040441 is a prime number
BaseRepresentation
bin11011000100011110100…
…10111011100100111001
310021220210110022020220121
431202033102323210321
5110214334430243231
61551142340053241
7124125111253111
oct15421722734471
93256713266817
10930117040441
11329507904066
1213031a394221
136992c17ccb4
14330371ba041
15192db574311
hexd88f4bb939

930117040441 has 2 divisors, whose sum is σ = 930117040442. Its totient is φ = 930117040440.

The previous prime is 930117040427. The next prime is 930117040481. The reversal of 930117040441 is 144040711039.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 927569314816 + 2547725625 = 963104^2 + 50475^2 .

It is a cyclic number.

It is not a de Polignac number, because 930117040441 - 217 = 930116909369 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 930117040397 and 930117040406.

It is not a weakly prime, because it can be changed into another prime (930117040481) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 465058520220 + 465058520221.

It is an arithmetic number, because the mean of its divisors is an integer number (465058520221).

Almost surely, 2930117040441 is an apocalyptic number.

It is an amenable number.

930117040441 is a deficient number, since it is larger than the sum of its proper divisors (1).

930117040441 is an equidigital number, since it uses as much as digits as its factorization.

930117040441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12096, while the sum is 34.

The spelling of 930117040441 in words is "nine hundred thirty billion, one hundred seventeen million, forty thousand, four hundred forty-one".