Search a number
-
+
2004113111214 = 2317371061500501
BaseRepresentation
bin11101001010011110011…
…100110011100010101110
321002120222002101112211110
4131022132130303202232
5230313410424024324
64132402111132450
7264535535241654
oct35123634634256
97076862345743
102004113111214
11702a37671155
122844b1514126
13116caa73a2a6
146cddcc48dd4
15371e9147329
hex1d29e7338ae

2004113111214 has 64 divisors (see below), whose sum is σ = 4362823881792. Its totient is φ = 611170560000.

The previous prime is 2004113111207. The next prime is 2004113111233. The reversal of 2004113111214 is 4121113114002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3753964 + ... + 4254464.

It is an arithmetic number, because the mean of its divisors is an integer number (68169123153).

Almost surely, 22004113111214 is an apocalyptic number.

2004113111214 is an abundant number, since it is smaller than the sum of its proper divisors (2358710770578).

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

2004113111214 is a wasteful number, since it uses less digits than its factorization.

2004113111214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501621.

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 2004113111214 its reverse (4121113114002), we get a palindrome (6125226225216).

The spelling of 2004113111214 in words is "two trillion, four billion, one hundred thirteen million, one hundred eleven thousand, two hundred fourteen".

Divisors: 1 2 3 6 17 34 37 51 74 102 111 222 629 1061 1258 1887 2122 3183 3774 6366 18037 36074 39257 54111 78514 108222 117771 235542 500501 667369 1001002 1334738 1501503 2002107 3003006 4004214 8508517 17017034 18518537 25525551 37037074 51051102 55555611 111111222 314815129 531031561 629630258 944445387 1062063122 1593094683 1888890774 3186189366 9027536537 18055073074 19648167757 27082609611 39296335514 54165219222 58944503271 117889006542 334018851869 668037703738 1002056555607 2004113111214