Search a number
-
+
111341383143111 = 32112449683333397
BaseRepresentation
bin11001010100001110101111…
…100101110100111011000111
3112121020010120102120201111100
4121110032233211310323013
5104043204123041034421
61032445305243511143
732311102161226242
oct3124165745647307
9477203512521440
10111341383143111
1132527685136300
12105a2857b284b3
134a185a7b77014
141d6cd4765c259
15cd13a1784c26
hex6543af974ec7

111341383143111 has 72 divisors (see below), whose sum is σ = 177429814707600. Its totient is φ = 67230556968960.

The previous prime is 111341383143103. The next prime is 111341383143119.

111341383143111 is a `hidden beast` number, since 1 + 1 + 13 + 4 + 13 + 8 + 314 + 311 + 1 = 666.

111341383143111 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (111341383143103) and next prime (111341383143119).

It is not a de Polignac number, because 111341383143111 - 23 = 111341383143103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111341383143119) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 333793665 + ... + 334127061.

It is an arithmetic number, because the mean of its divisors is an integer number (2464302982050).

Almost surely, 2111341383143111 is an apocalyptic number.

111341383143111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

111341383143111 is a deficient number, since it is larger than the sum of its proper divisors (66088431564489).

111341383143111 is a wasteful number, since it uses less digits than its factorization.

111341383143111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334557 (or 334543 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The spelling of 111341383143111 in words is "one hundred eleven trillion, three hundred forty-one billion, three hundred eighty-three million, one hundred forty-three thousand, one hundred eleven".

Divisors: 1 3 9 11 33 99 121 363 449 683 1089 1347 2049 4041 4939 6147 7513 14817 22539 44451 54329 67617 82643 162987 247929 306667 333397 488961 743787 920001 1000191 2760003 3000573 3373337 3667367 10120011 11002101 30360033 33006303 37106707 40341037 111320121 121023111 149695253 227710151 333960363 363069333 449085759 683130453 1347257277 1646647783 2049391359 2504811661 4939943349 7514434983 14819830047 18113125613 22543304949 27552928271 54339376839 82658784813 102241857799 163018130517 247976354439 306725573397 920176720191 1124660435789 3373981307367 10121943922101 12371264793679 37113794381037 111341383143111