Search a number
-
+
131300003000 = 2353217960257
BaseRepresentation
bin111101001001000010…
…1110000110010111000
3110112220112010020111002
41322102011300302320
54122400300044000
6140152434424132
712325510416365
oct1722205606270
9415815106432
10131300003000
1150758479681
1221544132048
13c4c6310c8a
1464d7dcb46c
1536370548d5
hex1e92170cb8

131300003000 has 64 divisors (see below), whose sum is σ = 307388109600. Its totient is φ = 52495027200.

The previous prime is 131300002997. The next prime is 131300003011. The reversal of 131300003000 is 300003131.

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 15 ways as a sum of consecutive naturals, for example, 2148872 + ... + 2209128.

Almost surely, 2131300003000 is an apocalyptic number.

131300003000 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 131300003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153694054800).

131300003000 is an abundant number, since it is smaller than the sum of its proper divisors (176088106600).

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

131300003000 is a wasteful number, since it uses less digits than its factorization.

131300003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62457 (or 62443 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 11.

Adding to 131300003000 its reverse (300003131), we get a palindrome (131600006131).

The spelling of 131300003000 in words is "one hundred thirty-one billion, three hundred million, three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 2179 4358 8716 10895 17432 21790 43580 54475 60257 87160 108950 120514 217900 241028 272375 301285 435800 482056 544750 602570 1089500 1205140 1506425 2179000 2410280 3012850 6025700 7532125 12051400 15064250 30128500 60257000 131300003 262600006 525200012 656500015 1050400024 1313000030 2626000060 3282500075 5252000120 6565000150 13130000300 16412500375 26260000600 32825000750 65650001500 131300003000