Search a number
-
+
131113230420 = 2235612587267
BaseRepresentation
bin111101000011011110…
…1010010000001010100
3110112102111200012200010
41322012331102001110
54122004441333140
6140122123320220
712321052033044
oct1720675220124
9415374605603
10131113230420
1150672000677
12214b1680070
13c496708563
1464bb28d724
15362595e880
hex1e86f52054

131113230420 has 72 divisors (see below), whose sum is σ = 373234653792. Its totient is φ = 34390296960.

The previous prime is 131113230419. The next prime is 131113230431. The reversal of 131113230420 is 24032311131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70374 + ... + 516893.

It is an arithmetic number, because the mean of its divisors is an integer number (5183814636).

Almost surely, 2131113230420 is an apocalyptic number.

131113230420 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 131113230420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186617326896).

131113230420 is an abundant number, since it is smaller than the sum of its proper divisors (242121423372).

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

131113230420 is a wasteful number, since it uses less digits than its factorization.

131113230420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587401 (or 587338 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 131113230420 its reverse (24032311131), we get a palindrome (155145541551).

The spelling of 131113230420 in words is "one hundred thirty-one billion, one hundred thirteen million, two hundred thirty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 366 610 732 915 1220 1830 3660 3721 7442 11163 14884 18605 22326 37210 44652 55815 74420 111630 223260 587267 1174534 1761801 2349068 2936335 3523602 5872670 7047204 8809005 11745340 17618010 35236020 35823287 71646574 107469861 143293148 179116435 214939722 358232870 429879444 537349305 716465740 1074698610 2149397220 2185220507 4370441014 6555661521 8740882028 10926102535 13111323042 21852205070 26222646084 32778307605 43704410140 65556615210 131113230420