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13241341100 = 22521311878581
BaseRepresentation
bin11000101010011111…
…01101010010101100
31021011210220211012202
430111033231102230
5204104240403400
610025531521032
7646063354001
oct142517552254
937153824182
1013241341100
115685434609
1226965b9178
1313303a20a0
148d882d8a8
155277254d5
hex3153ed4ac

13241341100 has 72 divisors (see below), whose sum is σ = 30973673808. Its totient is φ = 4884422400.

The previous prime is 13241341093. The next prime is 13241341103. The reversal of 13241341100 is 114314231.

It is a super-2 number, since 2×132413411002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (13241341103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1538810 + ... + 1547390.

It is an arithmetic number, because the mean of its divisors is an integer number (430189914).

Almost surely, 213241341100 is an apocalyptic number.

13241341100 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 13241341100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15486836904).

13241341100 is an abundant number, since it is smaller than the sum of its proper divisors (17732332708).

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

13241341100 is a wasteful number, since it uses less digits than its factorization.

13241341100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9795 (or 9788 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 13241341100 its reverse (114314231), we get a palindrome (13355655331).

The spelling of 13241341100 in words is "thirteen billion, two hundred forty-one million, three hundred forty-one thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1187 1300 2374 4748 5935 8581 11870 15431 17162 23740 29675 30862 34324 42905 59350 61724 77155 85810 111553 118700 154310 171620 214525 223106 308620 385775 429050 446212 557765 771550 858100 1115530 1543100 2231060 2788825 5577650 10185647 11155300 20371294 40742588 50928235 101856470 132413411 203712940 254641175 264826822 509282350 529653644 662067055 1018564700 1324134110 2648268220 3310335275 6620670550 13241341100