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114302304303 = 3113175331771
BaseRepresentation
bin110101001110011110…
…0101100000000101111
3101221000220221200100220
41222130330230000233
53333042342214203
6124302035022423
711154342361455
oct1523474540057
9357026850326
10114302304303
1144525742000
121a19b73aa13
13aa179451b5
14576474a9d5
152e8eb84653
hex1a9cf2c02f

114302304303 has 64 divisors (see below), whose sum is σ = 180847240704. Its totient is φ = 63966988800.

The previous prime is 114302304251. The next prime is 114302304313. The reversal of 114302304303 is 303403203411.

It is not a de Polignac number, because 114302304303 - 212 = 114302300207 is a prime.

It is a super-2 number, since 2×1143023043032 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114302304313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3581808 + ... + 3613578.

It is an arithmetic number, because the mean of its divisors is an integer number (2825738136).

Almost surely, 2114302304303 is an apocalyptic number.

114302304303 is a deficient number, since it is larger than the sum of its proper divisors (66544936401).

114302304303 is a wasteful number, since it uses less digits than its factorization.

114302304303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31877 (or 31855 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 114302304303 its reverse (303403203411), we get a palindrome (417705507714).

The spelling of 114302304303 in words is "one hundred fourteen billion, three hundred two million, three hundred four thousand, three hundred three".

Divisors: 1 3 11 17 33 51 53 121 159 187 363 561 583 901 1331 1749 2057 2703 3993 6171 6413 9911 19239 22627 29733 31771 67881 70543 95313 109021 211629 327063 349481 540107 1048443 1199231 1620321 1683863 3597693 3844291 5051589 5941177 11532873 17823531 18522493 28625671 42287201 55567479 65352947 85877013 126861603 196058841 203747423 314882381 611242269 718882417 944647143 2156647251 2241221653 3463706191 6723664959 10391118573 38100768101 114302304303