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13441323100 = 2252298295591
BaseRepresentation
bin11001000010010101…
…00101000001011100
31021200202012221221111
430201022211001130
5210011434314400
610101434111404
7654042234622
oct144112450134
937622187844
1013441323100
115778304a97
12273157b564
13136295112a
14917209512
1553a0793ba
hex3212a505c

13441323100 has 72 divisors (see below), whose sum is σ = 30215253600. Its totient is φ = 5183942400.

The previous prime is 13441323097. The next prime is 13441323113. The reversal of 13441323100 is 132314431.

It is a super-2 number, since 2×134413231002 (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 23 ways as a sum of consecutive naturals, for example, 2401305 + ... + 2406895.

It is an arithmetic number, because the mean of its divisors is an integer number (419656300).

Almost surely, 213441323100 is an apocalyptic number.

13441323100 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 13441323100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15107626800).

13441323100 is an abundant number, since it is smaller than the sum of its proper divisors (16773930500).

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

13441323100 is a wasteful number, since it uses less digits than its factorization.

13441323100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6463 (or 6456 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 13441323100 its reverse (132314431), we get a palindrome (13573637531).

The spelling of 13441323100 in words is "thirteen billion, four hundred forty-one million, three hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 829 1450 1658 2900 3316 4145 5591 8290 11182 16580 20725 22364 24041 27955 41450 48082 55910 82900 96164 111820 120205 139775 162139 240410 279550 324278 480820 559100 601025 648556 810695 1202050 1621390 2404100 3242780 4053475 4634939 8106950 9269878 16213900 18539756 23174695 46349390 92698780 115873475 134413231 231746950 268826462 463493900 537652924 672066155 1344132310 2688264620 3360330775 6720661550 13441323100