Search a number
-
+
13145212500 = 22355750077
BaseRepresentation
bin11000011111000010…
…00000011001010100
31020221010000222120020
430033201000121110
5203410133300000
610012215305140
7643515314460
oct141741003124
936833028506
1013145212500
115636147792
12266a37b1b0
1313164b5764
148c9b694a0
1551e087ba0
hex30f840654

13145212500 has 144 divisors (see below), whose sum is σ = 43815445632. Its totient is φ = 3004560000.

The previous prime is 13145212469. The next prime is 13145212543. The reversal of 13145212500 is 521254131.

It is a happy number.

It is a super-2 number, since 2×131452125002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 237462 + ... + 287538.

It is an arithmetic number, because the mean of its divisors is an integer number (304273928).

Almost surely, 213145212500 is an apocalyptic number.

13145212500 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 13145212500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21907722816).

13145212500 is an abundant number, since it is smaller than the sum of its proper divisors (30670233132).

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

13145212500 is an equidigital number, since it uses as much as digits as its factorization.

13145212500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50116 (or 50094 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 13145212500 its reverse (521254131), we get a palindrome (13666466631).

The spelling of 13145212500 in words is "thirteen billion, one hundred forty-five million, two hundred twelve thousand, five hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 125 140 150 175 210 250 300 350 375 420 500 525 625 700 750 875 1050 1250 1500 1750 1875 2100 2500 2625 3125 3500 3750 4375 5250 6250 7500 8750 9375 10500 12500 13125 17500 18750 21875 26250 37500 43750 50077 52500 65625 87500 100154 131250 150231 200308 250385 262500 300462 350539 500770 600924 701078 751155 1001540 1051617 1251925 1402156 1502310 1752695 2103234 2503850 3004620 3505390 3755775 4206468 5007700 5258085 6259625 7010780 7511550 8763475 10516170 12519250 15023100 17526950 18778875 21032340 25038500 26290425 31298125 35053900 37557750 43817375 52580850 62596250 75115500 87634750 93894375 105161700 125192500 131452125 156490625 175269500 187788750 219086875 262904250 312981250 375577500 438173750 469471875 525808500 625962500 657260625 876347500 938943750 1095434375 1314521250 1877887500 2190868750 2629042500 3286303125 4381737500 6572606250 13145212500