Base | Representation |
---|---|
bin | 11000001111010010… |
… | …01000000010010100 |
3 | 1020120220111011010200 |
4 | 30013221020002110 |
5 | 203122324420340 |
6 | 5551140220500 |
7 | 640322502516 |
oct | 140751100224 |
9 | 36526434120 |
10 | 13013123220 |
11 | 5578629099 |
12 | 263209a730 |
13 | 12c5018016 |
14 | 8b63c3bb6 |
15 | 512695330 |
hex | 307a48094 |
13013123220 has 36 divisors (see below), whose sum is σ = 39473140980. Its totient is φ = 3470166144.
The previous prime is 13013123191. The next prime is 13013123243. The reversal of 13013123220 is 2232131031.
13013123220 is a `hidden beast` number, since 1 + 30 + 1 + 312 + 322 + 0 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 9557799696 + 3455323524 = 97764^2 + 58782^2 .
It is a tau number, because it is divible by the number of its divisors (36).
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 = 13013123193 and 13013123202.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36147385 + ... + 36147744.
Almost surely, 213013123220 is an apocalyptic number.
13013123220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
13013123220 is an abundant number, since it is smaller than the sum of its proper divisors (26460017760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13013123220 is a wasteful number, since it uses less digits than its factorization.
13013123220 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 72295144 (or 72295139 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 13013123220 its reverse (2232131031), we get a palindrome (15245254251).
It can be divided in two parts, 130131 and 23220, that added together give a palindrome (153351).
The spelling of 13013123220 in words is "thirteen billion, thirteen million, one hundred twenty-three thousand, two hundred twenty".
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