Search a number
-
+
131040300000 = 25355436801
BaseRepresentation
bin111101000001010011…
…1000100101111100000
3110112020102102221221110
41322002213010233200
54121332304100000
6140111000223320
712316205112651
oct1720247045740
9415212387843
10131040300000
11506349189a5
122149116ab40
13c484581c6c
1464b1707528
15361e355850
hex1e829c4be0

131040300000 has 144 divisors (see below), whose sum is σ = 429949450224. Its totient is φ = 34944000000.

The previous prime is 131040299987. The next prime is 131040300029. The reversal of 131040300000 is 3040131.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 81600 + ... + 518400.

It is an arithmetic number, because the mean of its divisors is an integer number (2985760071).

Almost surely, 2131040300000 is an apocalyptic number.

131040300000 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 131040300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214974725112).

131040300000 is an abundant number, since it is smaller than the sum of its proper divisors (298909150224).

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

131040300000 is an frugal number, since it uses more digits than its factorization.

131040300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436839 (or 436811 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 131040300000 its reverse (3040131), we get a palindrome (131043340131).

The spelling of 131040300000 in words is "one hundred thirty-one billion, forty million, three hundred thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3125 3750 4000 5000 6000 6250 7500 9375 10000 12000 12500 15000 18750 20000 25000 30000 37500 50000 60000 75000 100000 150000 300000 436801 873602 1310403 1747204 2184005 2620806 3494408 4368010 5241612 6552015 6988816 8736020 10483224 10920025 13104030 13977632 17472040 20966448 21840050 26208060 32760075 34944080 41932896 43680100 52416120 54600125 65520150 69888160 87360200 104832240 109200250 131040300 163800375 174720400 209664480 218400500 262080600 273000625 327600750 349440800 436801000 524161200 546001250 655201500 819001875 873602000 1048322400 1092002500 1310403000 1365003125 1638003750 1747204000 2184005000 2620806000 2730006250 3276007500 4095009375 4368010000 5241612000 5460012500 6552015000 8190018750 8736020000 10920025000 13104030000 16380037500 21840050000 26208060000 32760075000 43680100000 65520150000 131040300000