Search a number
-
+
111076967144 = 231121329712
BaseRepresentation
bin110011101110010110…
…1000000001011101000
3101121201010220120120002
41213130231000023220
53304441200422034
6123010020522132
711011406433233
oct1473455001350
9347633816502
10111076967144
1143120063500
121963b550348
13a622674b80
14553a24841a
152d5192de7e
hex19dcb402e8

111076967144 has 72 divisors (see below), whose sum is σ = 246616677090. Its totient is φ = 46590033600.

The previous prime is 111076967137. The next prime is 111076967147. The reversal of 111076967144 is 441769670111.

It can be written as a sum of positive squares in only one way, i.e., 106804776100 + 4272191044 = 326810^2 + 65362^2 .

It is not an unprimeable number, because it can be changed into a prime (111076967147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 37385579 + ... + 37388549.

Almost surely, 2111076967144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111076967144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123308338545).

111076967144 is an abundant number, since it is smaller than the sum of its proper divisors (135539709946).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111076967144 is an equidigital number, since it uses as much as digits as its factorization.

111076967144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5983 (or 2997 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 47.

The spelling of 111076967144 in words is "one hundred eleven billion, seventy-six million, nine hundred sixty-seven thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 121 143 242 286 484 572 968 1144 1573 2971 3146 5942 6292 11884 12584 23768 32681 38623 65362 77246 130724 154492 261448 308984 359491 424853 718982 849706 1437964 1699412 2875928 3398824 4673383 8826841 9346766 17653682 18693532 35307364 37387064 70614728 97095251 114748933 194190502 229497866 388381004 458995732 776762008 917991464 1068047761 1262238263 2136095522 2524476526 4272191044 5048953052 8544382088 10097906104 13884620893 27769241786 55538483572 111076967144