Search a number
-
+
111314242413111 = 34110127136379091
BaseRepresentation
bin11001010011110101011101…
…111000001010001000110111
3112121010112111221111210012010
4121103311131320022020313
5104042233032024204421
61032425020151455303
732306121460642443
oct3123653570121067
9477115457453163
10111314242413111
1132517117982131
1210599542687533
134a15b70c91a7a
141d6b8d0c65823
15cd0813ba2076
hex653d5de0a237

111314242413111 has 64 divisors (see below), whose sum is σ = 154170215442432. Its totient is φ = 71390678400000.

The previous prime is 111314242413109. The next prime is 111314242413139.

It is a happy number.

111314242413111 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 111314242413111 - 21 = 111314242413109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111314242413211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12244439676 + ... + 12244448766.

It is an arithmetic number, because the mean of its divisors is an integer number (2408909616288).

Almost surely, 2111314242413111 is an apocalyptic number.

111314242413111 is a deficient number, since it is larger than the sum of its proper divisors (42855973029321).

111314242413111 is a wasteful number, since it uses less digits than its factorization.

111314242413111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13144.

The product of its digits is 2304, while the sum is 30.

The spelling of 111314242413111 in words is "one hundred eleven trillion, three hundred fourteen billion, two hundred forty-two million, four hundred thirteen thousand, one hundred eleven".

Divisors: 1 3 41 101 123 271 303 813 3637 4141 9091 10911 11111 12423 27273 27371 33333 82113 149117 367337 372731 447351 918191 985627 1102011 1118193 1122211 2463661 2754573 2956881 3366633 7390983 15060817 33063967 37645831 40410707 45182451 99191901 99548327 101010101 112937493 121232121 248829761 298644981 303030303 746489283 1355622647 3339460667 4066867941 4081481407 8960335057 10018382001 10202020201 12244444221 26881005171 30606060603 136917887347 367373737337 410753662041 904993840757 1102121212011 2714981522271 37104747471037 111314242413111