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13114340202300 = 22352192300761439
BaseRepresentation
bin1011111011010110101110…
…0101101101011100111100
31201102201101220202121220220
42332311223211231130330
53204331132042433200
643520351131541340
72522323401315021
oct276655345553474
951381356677826
1013114340202300
1141a6840177057
121579791bba850
137418a540c45c
14334a477d9548
1517b2028054a0
hexbed6b96d73c

13114340202300 has 72 divisors (see below), whose sum is σ = 39941218598400. Its totient is φ = 3313096470720.

The previous prime is 13114340202277. The next prime is 13114340202307. The reversal of 13114340202300 is 320204341131.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13114340202307) 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, 1150375020 + ... + 1150386419.

It is an arithmetic number, because the mean of its divisors is an integer number (554739147200).

Almost surely, 213114340202300 is an apocalyptic number.

13114340202300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13114340202300 is an abundant number, since it is smaller than the sum of its proper divisors (26826878396100).

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

13114340202300 is a wasteful number, since it uses less digits than its factorization.

13114340202300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2300761475 (or 2300761468 counting only the distinct ones).

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

Adding to 13114340202300 its reverse (320204341131), we get a palindrome (13434544543431).

The spelling of 13114340202300 in words is "thirteen trillion, one hundred fourteen billion, three hundred forty million, two hundred two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2850 5700 2300761439 4601522878 6902284317 9203045756 11503807195 13804568634 23007614390 27609137268 34511421585 43714467341 46015228780 57519035975 69022843170 87428934682 115038071950 131143402023 138045686340 172557107925 174857869364 218572336705 230076143900 262286804046 345114215850 437144673410 524573608092 655717010115 690228431700 874289346820 1092861683525 1311434020230 2185723367050 2622868040460 3278585050575 4371446734100 6557170101150 13114340202300