Search a number
-
+
110402021120 = 2853167131317
BaseRepresentation
bin110011011010001111…
…0010010011100000000
3101112222002212202200012
41212310132102130000
53302100404133440
6122415030244052
710655602460456
oct1466436223400
9345862782605
10110402021120
1142904076576
12194914b6628
13a545898421
1454b47529d6
152d12559e65
hex19b4792700

110402021120 has 288 divisors, whose sum is σ = 280047753216. Its totient is φ = 41645260800.

The previous prime is 110402021099. The next prime is 110402021179. The reversal of 110402021120 is 21120204011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 110402021095 and 110402021104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 348271202 + ... + 348271518.

It is an arithmetic number, because the mean of its divisors is an integer number (972388032).

Almost surely, 2110402021120 is an apocalyptic number.

110402021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110402021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140023876608).

110402021120 is an abundant number, since it is smaller than the sum of its proper divisors (169645732096).

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

110402021120 is a wasteful number, since it uses less digits than its factorization.

110402021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 110402021120 its reverse (21120204011), we get a palindrome (131522225131).

The spelling of 110402021120 in words is "one hundred ten billion, four hundred two million, twenty-one thousand, one hundred twenty".