Search a number
-
+
13022211230320 = 2451392814167481
BaseRepresentation
bin1011110101111111100001…
…0001100100101001110000
31201002220121021211221021111
42331133320101210221300
53201323442033332240
643410153220203104
72512552351060045
oct275377021445160
951086537757244
1013022211230320
114170763829896
121563960239494
13735cb24c7256
143303c7c6d1cc
15178b0e5dc1ea
hexbd7f8464a70

13022211230320 has 80 divisors (see below), whose sum is σ = 30602987220960. Its totient is φ = 5153005670400.

The previous prime is 13022211230311. The next prime is 13022211230323. The reversal of 13022211230320 is 2303211222031.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 13022211230291 and 13022211230300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13022211230323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1040980 + ... + 5208460.

It is an arithmetic number, because the mean of its divisors is an integer number (382537340262).

Almost surely, 213022211230320 is an apocalyptic number.

13022211230320 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 13022211230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15301493610480).

13022211230320 is an abundant number, since it is smaller than the sum of its proper divisors (17580775990640).

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

13022211230320 is a wasteful number, since it uses less digits than its factorization.

13022211230320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4167914 (or 4167908 counting only the distinct ones).

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

Adding to 13022211230320 its reverse (2303211222031), we get a palindrome (15325422452351).

The spelling of 13022211230320 in words is "thirteen trillion, twenty-two billion, two hundred eleven million, two hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 139 278 281 556 562 695 1112 1124 1390 1405 2224 2248 2780 2810 4496 5560 5620 11120 11240 22480 39059 78118 156236 195295 312472 390590 624944 781180 1562360 3124720 4167481 8334962 16669924 20837405 33339848 41674810 66679696 83349620 166699240 333398480 579279859 1158559718 1171062161 2317119436 2342124322 2896399295 4634238872 4684248644 5792798590 5855310805 9268477744 9368497288 11585597180 11710621610 18736994576 23171194360 23421243220 46342388720 46842486440 93684972880 162777640379 325555280758 651110561516 813888201895 1302221123032 1627776403790 2604442246064 3255552807580 6511105615160 13022211230320