Search a number
-
+
111102011008 = 2713722328411
BaseRepresentation
bin110011101111000110…
…0100010011010000000
3101121202220000221021121
41213132030202122000
53310014103323013
6123012313402024
711012132340352
oct1473614423200
9347686027247
10111102011008
114313320930a
1219647a09314
13a627903021
14553d6c70d2
152d53c2958d
hex19de322680

111102011008 has 64 divisors (see below), whose sum is σ = 223959294720. Its totient is φ = 54896302080.

The previous prime is 111102010967. The next prime is 111102011017. The reversal of 111102011008 is 800110201111.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 111102010982 and 111102011000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3896323 + ... + 3924733.

It is an arithmetic number, because the mean of its divisors is an integer number (3499363980).

Almost surely, 2111102011008 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 111102011008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111979647360).

111102011008 is an abundant number, since it is smaller than the sum of its proper divisors (112857283712).

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

111102011008 is a wasteful number, since it uses less digits than its factorization.

111102011008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28785 (or 28773 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 111102011008 its reverse (800110201111), we get a palindrome (911212212119).

The spelling of 111102011008 in words is "one hundred eleven billion, one hundred two million, eleven thousand, eight".

Divisors: 1 2 4 8 16 32 64 128 137 223 274 446 548 892 1096 1784 2192 3568 4384 7136 8768 14272 17536 28411 28544 30551 56822 61102 113644 122204 227288 244408 454576 488816 909152 977632 1818304 1955264 3636608 3892307 3910528 6335653 7784614 12671306 15569228 25342612 31138456 50685224 62276912 101370448 124553824 202740896 249107648 405481792 498215296 810963584 867984461 1735968922 3471937844 6943875688 13887751376 27775502752 55551005504 111102011008