Search a number
-
+
110302223021320 = 235114371833472851
BaseRepresentation
bin11001000101000110111100…
…110100100011010100001000
3112110112210022120110222211011
4121011012330310203110020
5103424142423043140240
61030332050340013304
732143033625023021
oct3105067464432410
9473483276428734
10110302223021320
1132166a013602a0
1210455387391234
1349715bb8320a5
141d349283d3c48
15cb43321396ea
hex6451bcd23508

110302223021320 has 512 divisors, whose sum is σ = 285244303196160. Its totient is φ = 38036638080000.

The previous prime is 110302223021297. The next prime is 110302223021321. The reversal of 110302223021320 is 23120322203011.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 110302223021291 and 110302223021300.

It is not an unprimeable number, because it can be changed into a prime (110302223021321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38688957895 + ... + 38688960745.

It is an arithmetic number, because the mean of its divisors is an integer number (557117779680).

Almost surely, 2110302223021320 is an apocalyptic number.

110302223021320 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 110302223021320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142622151598080).

110302223021320 is an abundant number, since it is smaller than the sum of its proper divisors (174942080174840).

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

110302223021320 is a wasteful number, since it uses less digits than its factorization.

110302223021320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3417 (or 3413 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 110302223021320 its reverse (23120322203011), we get a palindrome (133422545224331).

The spelling of 110302223021320 in words is "one hundred ten trillion, three hundred two billion, two hundred twenty-three million, twenty-one thousand, three hundred twenty".