Search a number
-
+
13122030020 = 22511379716619
BaseRepresentation
bin11000011100010001…
…00100100111000100
31020212111102012011212
430032020210213010
5203333214430040
610010030350552
7643114262201
oct141610444704
936774365155
1013122030020
115624053410
12266265b458
131311759908
148c6a52ca8
1551c008d65
hex30e2249c4

13122030020 has 96 divisors (see below), whose sum is σ = 31194011520. Its totient is φ = 4594544640.

The previous prime is 13122029981. The next prime is 13122030029. The reversal of 13122030020 is 2003022131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13122029977 and 13122030004.

It is not an unprimeable number, because it can be changed into a prime (13122030029) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 781271 + ... + 797889.

It is an arithmetic number, because the mean of its divisors is an integer number (324937620).

Almost surely, 213122030020 is an apocalyptic number.

13122030020 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 13122030020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15597005760).

13122030020 is an abundant number, since it is smaller than the sum of its proper divisors (18071981500).

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

13122030020 is a wasteful number, since it uses less digits than its factorization.

13122030020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16773 (or 16771 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 13122030020 its reverse (2003022131), we get a palindrome (15125052151).

The spelling of 13122030020 in words is "thirteen billion, one hundred twenty-two million, thirty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 97 110 148 185 194 220 370 388 407 485 740 814 970 1067 1628 1940 2035 2134 3589 4070 4268 5335 7178 8140 10670 14356 16619 17945 21340 33238 35890 39479 66476 71780 78958 83095 157916 166190 182809 197395 332380 365618 394790 614903 731236 789580 914045 1229806 1612043 1828090 2459612 3074515 3224086 3656180 6149030 6448172 6763933 8060215 12298060 13527866 16120430 17732473 27055732 32240860 33819665 35464946 59645591 67639330 70929892 88662365 119291182 135278660 177324730 238582364 298227955 354649460 596455910 656101501 1192911820 1312203002 2624406004 3280507505 6561015010 13122030020