Search a number
-
+
131421404401300 = 225213641531575817
BaseRepresentation
bin11101111000011011101110…
…001000000000111010010100
3122020022202121122011022220101
4131320123232020000322110
5114211202014011320200
61143302054255143444
736452611625602036
oct3570335610007224
9566282548138811
10131421404401300
11389695606a9a72
12128a6422514b84
135843ca67c6870
142464b893c9c56
15102d88b8d826a
hex7786ee200e94

131421404401300 has 72 divisors (see below), whose sum is σ = 307126694978936. Its totient is φ = 48524039055360.

The previous prime is 131421404401253. The next prime is 131421404401307. The reversal of 131421404401300 is 3104404124131.

It can be written as a sum of positive squares in 12 ways, for example, as 734712979716 + 130686691421584 = 857154^2 + 11431828^2 .

It is a super-2 number, since 2×1314214044013002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131421404401307) 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, 82610992 + ... + 84186808.

Almost surely, 2131421404401300 is an apocalyptic number.

131421404401300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131421404401300 is an abundant number, since it is smaller than the sum of its proper divisors (175705290577636).

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

131421404401300 is a wasteful number, since it uses less digits than its factorization.

131421404401300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1639997 (or 1639990 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 131421404401300 its reverse (3104404124131), we get a palindrome (134525808525431).

The spelling of 131421404401300 in words is "one hundred thirty-one trillion, four hundred twenty-one billion, four hundred four million, four hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 64153 128306 256612 320765 641530 833989 1283060 1575817 1603825 1667978 3151634 3207650 3335956 4169945 6303268 6415300 7879085 8339890 15758170 16679780 20485621 20849725 31516340 39395425 40971242 41699450 78790850 81942484 83398900 102428105 157581700 204856210 409712420 512140525 1024281050 2048562100 101093388001 202186776002 404373552004 505466940005 1010933880010 1314214044013 2021867760020 2527334700025 2628428088026 5054669400050 5256856176052 6571070220065 10109338800100 13142140440130 26284280880260 32855351100325 65710702200650 131421404401300