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13241403230100 = 2235261897180657
BaseRepresentation
bin1100000010110000000100…
…1000101100011110010100
31201212212101011021020002120
43000230001020230132110
53213421343211330400
644055003333335540
72534442213244143
oct300540110543624
951785334236076
1013241403230100
114245713a14531
12159a3331975b0
137508749998c6
1433ac5cbc775a
1517e68c8c4ca0
hexc0b0122c794

13241403230100 has 144 divisors (see below), whose sum is σ = 38944679006016. Its totient is φ = 3472724736000.

The previous prime is 13241403230071. The next prime is 13241403230117. The reversal of 13241403230100 is 103230414231.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164128972 + ... + 164209628.

It is an arithmetic number, because the mean of its divisors is an integer number (270449159764).

Almost surely, 213241403230100 is an apocalyptic number.

13241403230100 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 13241403230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19472339503008).

13241403230100 is an abundant number, since it is smaller than the sum of its proper divisors (25703275775916).

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

13241403230100 is a wasteful number, since it uses less digits than its factorization.

13241403230100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89706 (or 89699 counting only the distinct ones).

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

Adding to 13241403230100 its reverse (103230414231), we get a palindrome (13344633644331).

The spelling of 13241403230100 in words is "thirteen trillion, two hundred forty-one billion, four hundred three million, two hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 61 75 100 122 150 183 244 300 305 366 610 732 915 1220 1525 1830 3050 3660 4575 6100 8971 9150 17942 18300 26913 35884 44855 53826 80657 89710 107652 134565 161314 179420 224275 241971 269130 322628 403285 448550 483942 538260 547231 672825 806570 897100 967884 1094462 1209855 1345650 1613140 1641693 2016425 2188924 2419710 2691300 2736155 3283386 4032850 4839420 4920077 5472310 6049275 6566772 8065700 8208465 9840154 10944620 12098550 13680775 14760231 16416930 19680308 24197100 24600385 27361550 29520462 32833860 41042325 49200770 54723100 59040924 73801155 82084650 98401540 123001925 147602310 164169300 246003850 295204620 369005775 492007700 723573947 738011550 1447147894 1476023100 2170721841 2894295788 3617869735 4341443682 7235739470 8682887364 10853609205 14471478940 18089348675 21707218410 36178697350 43414436820 44138010767 54268046025 72357394700 88276021534 108536092050 132414032301 176552043068 217072184100 220690053835 264828064602 441380107670 529656129204 662070161505 882760215340 1103450269175 1324140323010 2206900538350 2648280646020 3310350807525 4413801076700 6620701615050 13241403230100