Search a number
-
+
131224043000 = 23532911174051
BaseRepresentation
bin111101000110110001…
…1111111110111111000
3110112201020012001221202
41322031203333313320
54122221323334000
6140141122353332
712323565650561
oct1721543776770
9415636161852
10131224043000
1150719607816
12215227bb848
13c4b366672b
1464cbc97168
15363054cdd5
hex1e8d8ffdf8

131224043000 has 128 divisors (see below), whose sum is σ = 318015547200. Its totient is φ = 50621760000.

The previous prime is 131224042997. The next prime is 131224043011. The reversal of 131224043000 is 340422131.

131224043000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1312240430002 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32390975 + ... + 32395025.

Almost surely, 2131224043000 is an apocalyptic number.

131224043000 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 131224043000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159007773600).

131224043000 is an abundant number, since it is smaller than the sum of its proper divisors (186791504200).

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

131224043000 is a wasteful number, since it uses less digits than its factorization.

131224043000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5218 (or 5204 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 131224043000 its reverse (340422131), we get a palindrome (131564465131).

The spelling of 131224043000 in words is "one hundred thirty-one billion, two hundred twenty-four million, forty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 500 580 725 1000 1117 1160 1450 2234 2900 3625 4051 4468 5585 5800 7250 8102 8936 11170 14500 16204 20255 22340 27925 29000 32393 32408 40510 44680 55850 64786 81020 101275 111700 117479 129572 139625 161965 162040 202550 223400 234958 259144 279250 323930 405100 469916 506375 558500 587395 647860 809825 810200 939832 1012750 1117000 1174790 1295720 1619650 2025500 2349580 2936975 3239300 4049125 4051000 4524967 4699160 5873950 6478600 8098250 9049934 11747900 14684875 16196500 18099868 22624835 23495800 29369750 32393000 36199736 45249670 58739500 90499340 113124175 117479000 131224043 180998680 226248350 262448086 452496700 524896172 565620875 656120215 904993400 1049792344 1131241750 1312240430 2262483500 2624480860 3280601075 4524967000 5248961720 6561202150 13122404300 16403005375 26244808600 32806010750 65612021500 131224043000