Search a number
-
+
13300345200450 = 23527111151545039
BaseRepresentation
bin1100000110001011101001…
…0110011101111101000010
31202002111111220222120000110
43001202322112131331002
53220403101332403300
644142032204332150
72541626644601250
oct301427226357502
952074456876013
1013300345200450
114268710143220
1215a9842844056
137562a917c739
1433da50d455d0
15180e8c2d2550
hexc18ba59df42

13300345200450 has 96 divisors (see below), whose sum is σ = 41123976468480. Its totient is φ = 2763708091200.

The previous prime is 13300345200427. The next prime is 13300345200503. The reversal of 13300345200450 is 5400254300331.

13300345200450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×133003452004502 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 575760970 + ... + 575784069.

It is an arithmetic number, because the mean of its divisors is an integer number (428374754880).

Almost surely, 213300345200450 is an apocalyptic number.

13300345200450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13300345200450 is an abundant number, since it is smaller than the sum of its proper divisors (27823631268030).

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

13300345200450 is a wasteful number, since it uses less digits than its factorization.

13300345200450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151545072 (or 1151545067 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 13300345200450 its reverse (5400254300331), we get a palindrome (18700599500781).

The spelling of 13300345200450 in words is "thirteen trillion, three hundred billion, three hundred forty-five million, two hundred thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 25 30 33 35 42 50 55 66 70 75 77 105 110 150 154 165 175 210 231 275 330 350 385 462 525 550 770 825 1050 1155 1650 1925 2310 3850 5775 11550 1151545039 2303090078 3454635117 5757725195 6909270234 8060815273 11515450390 12666995429 16121630546 17273175585 24182445819 25333990858 28788625975 34546351170 38000986287 40304076365 48364891638 57577251950 63334977145 76001972574 80608152730 86365877925 88668968003 120912229095 126669954290 172731755850 177337936006 190004931435 201520381825 241824458190 266006904009 316674885725 380009862870 403040763650 443344840015 532013808018 604561145475 633349771450 886689680030 950024657175 1209122290950 1330034520045 1900049314350 2216724200075 2660069040090 4433448400150 6650172600225 13300345200450