Search a number
-
+
114222050355333 = 317194711932102267
BaseRepresentation
bin11001111110001001100100…
…101111001010100010000101
3112222102112002002011021112210
4121332021210233022202011
5104432403224342332313
61042532515135334033
733026161613433144
oct3176114457124205
9488375062137483
10114222050355333
1133438332732318
1210988bb9681319
134b971297bc09b
14202c53ba8d75b
15d3129e8ba9c3
hex67e264bca885

114222050355333 has 64 divisors (see below), whose sum is σ = 173498664407040. Its totient is φ = 66396354803712.

The previous prime is 114222050355331. The next prime is 114222050355341. The reversal of 114222050355333 is 333553050222411.

It is not a de Polignac number, because 114222050355333 - 21 = 114222050355331 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114222050355291 and 114222050355300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114222050355331) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 53281666 + ... + 55383932.

It is an arithmetic number, because the mean of its divisors is an integer number (2710916631360).

Almost surely, 2114222050355333 is an apocalyptic number.

It is an amenable number.

114222050355333 is a deficient number, since it is larger than the sum of its proper divisors (59276614051707).

114222050355333 is a wasteful number, since it uses less digits than its factorization.

114222050355333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103546.

The product of its (nonzero) digits is 324000, while the sum is 39.

The spelling of 114222050355333 in words is "one hundred fourteen trillion, two hundred twenty-two billion, fifty million, three hundred fifty-five thousand, three hundred thirty-three".

Divisors: 1 3 17 19 47 51 57 141 323 799 893 969 1193 2397 2679 3579 15181 20281 22667 45543 56071 60843 68001 168213 385339 953207 1065349 1156017 2102267 2859621 3196047 6306801 18110933 35738539 39943073 54332799 98806549 107215617 119829219 296419647 679032241 1679711333 1877324431 2037096723 2508004531 5039133999 5631973293 7524013593 31914515327 42636077027 47652086089 95743545981 117876212957 127908231081 142956258267 353628638871 810085463513 2003895620269 2239648046183 2430256390539 6011686860807 6718944138549 38074016785111 114222050355333