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131050534300 = 22527283322229
BaseRepresentation
bin111101000001100111…
…0000111010110011100
3110112021010200220202121
41322003032013112130
54121342414044200
6140112003432324
712316361106400
oct1720316072634
9415233626677
10131050534300
115063a6790a4
12214946856a4
13c48672636a
1464b2c0d100
1536201c7e1a
hex1e8338759c

131050534300 has 108 divisors (see below), whose sum is σ = 334795681080. Its totient is φ = 44390129280.

The previous prime is 131050534297. The next prime is 131050534301. The reversal of 131050534300 is 3435050131.

131050534300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131050534301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 245586 + ... + 567814.

It is an arithmetic number, because the mean of its divisors is an integer number (3099960010).

Almost surely, 2131050534300 is an apocalyptic number.

131050534300 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 131050534300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167397840540).

131050534300 is an abundant number, since it is smaller than the sum of its proper divisors (203745146780).

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

131050534300 is a wasteful number, since it uses less digits than its factorization.

131050534300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322340 (or 322326 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

Adding to 131050534300 its reverse (3435050131), we get a palindrome (134485584431).

The spelling of 131050534300 in words is "one hundred thirty-one billion, fifty million, five hundred thirty-four thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 83 98 100 140 166 175 196 245 332 350 415 490 581 700 830 980 1162 1225 1660 2075 2324 2450 2905 4067 4150 4900 5810 8134 8300 11620 14525 16268 20335 29050 40670 58100 81340 101675 203350 322229 406700 644458 1288916 1611145 2255603 3222290 4511206 6444580 8055725 9022412 11278015 15789221 16111450 22556030 26745007 31578442 32222900 45112060 53490014 56390075 63156884 78946105 106980028 112780150 133725035 157892210 187215049 225560300 267450070 315784420 374430098 394730525 534900140 668625175 748860196 789461050 936075245 1310505343 1337250350 1578922100 1872150490 2621010686 2674500700 3744300980 4680376225 5242021372 6552526715 9360752450 13105053430 18721504900 26210106860 32762633575 65525267150 131050534300