Search a number
-
+
201222120123 = 32313723981559
BaseRepresentation
bin1011101101100111000…
…1011110001010111011
3201020101111220211010200
42323121301132022323
511244100330320443
6232235024213243
720352320541303
oct2733161361273
9636344824120
10201222120123
1178379706132
1232bb8a6a223
1315c8a589a8b
149a4c52c603
15537a8cddd3
hex2ed9c5e2bb

201222120123 has 48 divisors (see below), whose sum is σ = 309432115200. Its totient is φ = 125782009920.

The previous prime is 201222120091. The next prime is 201222120133. The reversal of 201222120123 is 321021222102.

201222120123 is a `hidden beast` number, since 201 + 222 + 120 + 123 = 666.

It is not a de Polignac number, because 201222120123 - 25 = 201222120091 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201222120096 and 201222120105.

It is not an unprimeable number, because it can be changed into a prime (201222120133) 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 47 ways as a sum of consecutive naturals, for example, 2426418 + ... + 2507976.

It is an arithmetic number, because the mean of its divisors is an integer number (6446502400).

Almost surely, 2201222120123 is an apocalyptic number.

201222120123 is a deficient number, since it is larger than the sum of its proper divisors (108209995077).

201222120123 is a wasteful number, since it uses less digits than its factorization.

201222120123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81872 (or 81869 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 201222120123 its reverse (321021222102), we get a palindrome (522243342225).

The spelling of 201222120123 in words is "two hundred one billion, two hundred twenty-two million, one hundred twenty thousand, one hundred twenty-three".

Divisors: 1 3 9 31 37 93 111 239 279 333 717 1147 2151 3441 7409 8843 10323 22227 26529 66681 79587 81559 244677 274133 734031 822399 2467197 2528329 3017683 7584987 9053049 19492601 22754961 27159147 58477803 93548173 175433409 280644519 604270631 721226237 841933557 1812811893 2163678711 5438435679 6491036133 22358013347 67074040041 201222120123