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4101111133319 is a prime number
BaseRepresentation
bin111011101011011101010…
…001011011010010000111
3112112001200111010110112202
4323223131101123102013
51014143033422231234
612420005140305115
7602203233314264
oct73533521332207
915461614113482
104101111133319
1113412a9356672
125629a59a219b
1323996b8864c5
141026cdb9a26b
1571a2ca2977e
hex3badd45b487

4101111133319 has 2 divisors, whose sum is σ = 4101111133320. Its totient is φ = 4101111133318.

The previous prime is 4101111133309. The next prime is 4101111133321. The reversal of 4101111133319 is 9133311111014.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 4101111133319 - 24 = 4101111133303 is a prime.

It is a super-2 number, since 2×41011111333192 (a number of 26 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 4101111133321, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 4101111133291 and 4101111133300.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4101111133309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2050555566659 + 2050555566660.

It is an arithmetic number, because the mean of its divisors is an integer number (2050555566660).

Almost surely, 24101111133319 is an apocalyptic number.

4101111133319 is a deficient number, since it is larger than the sum of its proper divisors (1).

4101111133319 is an equidigital number, since it uses as much as digits as its factorization.

4101111133319 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 29.

The spelling of 4101111133319 in words is "four trillion, one hundred one billion, one hundred eleven million, one hundred thirty-three thousand, three hundred nineteen".