Search a number
-
+
13131223100120 = 235328280577503
BaseRepresentation
bin1011111100010101100111…
…1000110110101011011000
31201111022222111220200211202
42333011121320312223120
53210120221103200440
643532222311013332
72523461643504326
oct277053170665330
951438874820752
1013131223100120
114202a14123074
121580b0406a248
13743366081918
143357a9b14d16
1517b88ea9a615
hexbf159e36ad8

13131223100120 has 16 divisors (see below), whose sum is σ = 29545251975360. Its totient is φ = 5252489240032.

The previous prime is 13131223100119. The next prime is 13131223100129. The reversal of 13131223100120 is 2100132213131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13131223100092 and 13131223100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131223100129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 164140288712 + ... + 164140288791.

It is an arithmetic number, because the mean of its divisors is an integer number (1846578248460).

Almost surely, 213131223100120 is an apocalyptic number.

13131223100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13131223100120 is an abundant number, since it is smaller than the sum of its proper divisors (16414028875240).

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

13131223100120 is a wasteful number, since it uses less digits than its factorization.

13131223100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328280577514 (or 328280577510 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 13131223100120 its reverse (2100132213131), we get a palindrome (15231355313251).

The spelling of 13131223100120 in words is "thirteen trillion, one hundred thirty-one billion, two hundred twenty-three million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 328280577503 656561155006 1313122310012 1641402887515 2626244620024 3282805775030 6565611550060 13131223100120