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103314040221300 = 22352439737831627
BaseRepresentation
bin10111011111011010101100…
…101010101110111001110100
3111112210201121002122222022020
4113133122230222232321310
5102020144123244040200
61003421452002033140
730522123141216546
oct2737325452567164
9445721532588266
10103314040221300
112aa1226934a227
12b706b530487b0
13458561a526aac
141b725d77d3696
15be267e0ecea0
hex5df6acaaee74

103314040221300 has 72 divisors (see below), whose sum is σ = 298928792395296. Its totient is φ = 27549780677760.

The previous prime is 103314040221299. The next prime is 103314040221307. The reversal of 103314040221300 is 3122040413301.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103314040221307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9276087 + ... + 17107713.

It is an arithmetic number, because the mean of its divisors is an integer number (4151788783268).

Almost surely, 2103314040221300 is an apocalyptic number.

103314040221300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103314040221300 is an abundant number, since it is smaller than the sum of its proper divisors (195614752173996).

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

103314040221300 is a wasteful number, since it uses less digits than its factorization.

103314040221300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7875617 (or 7875610 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 103314040221300 its reverse (3122040413301), we get a palindrome (106436080634601).

The spelling of 103314040221300 in words is "one hundred three trillion, three hundred fourteen billion, forty million, two hundred twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 43973 87946 131919 175892 219865 263838 439730 527676 659595 879460 1099325 1319190 2198650 2638380 3297975 4397300 6595950 7831627 13191900 15663254 23494881 31326508 39158135 46989762 78316270 93979524 117474405 156632540 195790675 234948810 391581350 469897620 587372025 783162700 1174744050 2349488100 344380134071 688760268142 1033140402213 1377520536284 1721900670355 2066280804426 3443801340710 4132561608852 5165702011065 6887602681420 8609503351775 10331404022130 17219006703550 20662808044260 25828510055325 34438013407100 51657020110650 103314040221300