Search a number
-
+
332114300344203 = 313412412029742461
BaseRepresentation
bin100101110000011100110001…
…0111001011001011110001011
31121112220211001121202021220220
41023200321202321121132023
5322012330041342003303
63134203111525321123
7126645315652443426
oct11340714271313613
91545824047667826
10332114300344203
119690497a384743
12312b9b872661a3
13113413234b53a0
145c025bca2c9bd
15285e0c600e053
hex12e0e62e5978b

332114300344203 has 64 divisors (see below), whose sum is σ = 490576090080384. Its totient is φ = 198551384064000.

The previous prime is 332114300344199. The next prime is 332114300344213. The reversal of 332114300344203 is 302443003411233.

It is a happy number.

It is not a de Polignac number, because 332114300344203 - 22 = 332114300344199 is a prime.

It is a super-2 number, since 2×3321143003442032 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332114300344213) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7821610393 + ... + 7821652853.

It is an arithmetic number, because the mean of its divisors is an integer number (7665251407506).

Almost surely, 2332114300344203 is an apocalyptic number.

332114300344203 is a deficient number, since it is larger than the sum of its proper divisors (158461789736181).

332114300344203 is a wasteful number, since it uses less digits than its factorization.

332114300344203 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63056.

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 332114300344203 its reverse (302443003411233), we get a palindrome (634557303755436).

The spelling of 332114300344203 in words is "three hundred thirty-two trillion, one hundred fourteen billion, three hundred million, three hundred forty-four thousand, two hundred three".

Divisors: 1 3 13 39 41 123 241 533 723 1599 3133 9399 9881 20297 29643 42461 60891 127383 128453 263861 385359 551993 791583 832177 1655979 1740901 2496531 4891577 5222703 10233101 10818301 14674731 22631713 30699303 32454903 63590501 67895139 133030313 190771503 200554657 399090939 419557141 601663971 861830917 1258671423 2585492751 2607210541 5454242833 7821631623 11203801921 16362728499 33611405763 35335067597 106005202791 207701250997 459355878761 623103752991 1378067636283 2700116262961 8100348788883 8515751290877 25547253872631 110704766781401 332114300344203