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4101111134369 is a prime number
BaseRepresentation
bin111011101011011101010…
…001011011100010100001
3112112001200111010111222122
4323223131101123202201
51014143033422244434
612420005140314025
7602203233320324
oct73533521334241
915461614114878
104101111134369
1113412a9357437
125629a59a2915
1323996b886b22
141026cdb9a7bb
1571a2ca29c2e
hex3badd45b8a1

4101111134369 has 2 divisors, whose sum is σ = 4101111134370. Its totient is φ = 4101111134368.

The previous prime is 4101111134347. The next prime is 4101111134387. The reversal of 4101111134369 is 9634311111014.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2146189840144 + 1954921294225 = 1464988^2 + 1398185^2 .

It is a cyclic number.

It is not a de Polignac number, because 4101111134369 - 212 = 4101111130273 is a prime.

It is a super-2 number, since 2×41011111343692 (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4101111104369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2050555567184 + 2050555567185.

It is an arithmetic number, because the mean of its divisors is an integer number (2050555567185).

Almost surely, 24101111134369 is an apocalyptic number.

It is an amenable number.

4101111134369 is a deficient number, since it is larger than the sum of its proper divisors (1).

4101111134369 is an equidigital number, since it uses as much as digits as its factorization.

4101111134369 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 35.

The spelling of 4101111134369 in words is "four trillion, one hundred one billion, one hundred eleven million, one hundred thirty-four thousand, three hundred sixty-nine".