Search a number
-
+
13311232020 = 2232573951289
BaseRepresentation
bin11000110010110100…
…10100100000010100
31021100200102122112100
430121122110200110
5204230133411040
610040505522100
7650602414422
oct143132244024
937320378470
1013311232020
1157109306a9
1226b5aa3330
131341a03068
14903c24112
1552d92db30
hex319694814

13311232020 has 36 divisors (see below), whose sum is σ = 40377404340. Its totient is φ = 3549661824.

The previous prime is 13311232009. The next prime is 13311232043. The reversal of 13311232020 is 2023211331.

13311232020 is a `hidden beast` number, since 1 + 331 + 12 + 320 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6458372496 + 6852859524 = 80364^2 + 82782^2 .

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 = 13311231984 and 13311232002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36975465 + ... + 36975824.

It is an arithmetic number, because the mean of its divisors is an integer number (1121594565).

Almost surely, 213311232020 is an apocalyptic number.

13311232020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13311232020 is an abundant number, since it is smaller than the sum of its proper divisors (27066172320).

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

13311232020 is a wasteful number, since it uses less digits than its factorization.

13311232020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73951304 (or 73951299 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13311232020 its reverse (2023211331), we get a palindrome (15334443351).

The spelling of 13311232020 in words is "thirteen billion, three hundred eleven million, two hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 73951289 147902578 221853867 295805156 369756445 443707734 665561601 739512890 887415468 1109269335 1331123202 1479025780 2218538670 2662246404 3327808005 4437077340 6655616010 13311232020