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1103310031320 = 2332572696832383
BaseRepresentation
bin10000000011100010011…
…001110000100111011000
310220110211120110210002100
4100003202121300213120
5121034034332000240
62202504215003400
7142466023346430
oct20034231604730
93813746423070
101103310031320
11395a02827572
121599b4369560
13800707904a3
143b586d352c0
151da76385e30
hex100e26709d8

1103310031320 has 384 divisors, whose sum is σ = 4120993843200. Its totient is φ = 250774520832.

The previous prime is 1103310031289. The next prime is 1103310031409. The reversal of 1103310031320 is 231300133011.

It is a happy number.

1103310031320 is a `hidden beast` number, since 1 + 1 + 0 + 3 + 310 + 0 + 31 + 320 = 666.

It is a super-2 number, since 2×11033100313202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1103310031293 and 1103310031302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 462990849 + ... + 462993231.

It is an arithmetic number, because the mean of its divisors is an integer number (10731754800).

Almost surely, 21103310031320 is an apocalyptic number.

1103310031320 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 1103310031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2060496921600).

1103310031320 is an abundant number, since it is smaller than the sum of its proper divisors (3017683811880).

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

1103310031320 is a wasteful number, since it uses less digits than its factorization.

1103310031320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3359 (or 3352 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1103310031320 its reverse (231300133011), we get a palindrome (1334610164331).

The spelling of 1103310031320 in words is "one trillion, one hundred three billion, three hundred ten million, thirty-one thousand, three hundred twenty".