Search a number
-
+
122330202243309 = 32414335172192131
BaseRepresentation
bin11011110100001000111000…
…010000000000000011101101
3121001010122122010101211200200
4123310020320100000003231
5112013224223233241214
61112101415153544113
734524031310353224
oct3364107020000355
9531118563354620
10122330202243309
1135a83a4702a755
12118784b5275039
1353348c4a46118
14222cb55cb3cbb
15e22151569d09
hex6f42384000ed

122330202243309 has 48 divisors (see below), whose sum is σ = 185271175113024. Its totient is φ = 77691893126400.

The previous prime is 122330202243289. The next prime is 122330202243313. The reversal of 122330202243309 is 903342202033221.

122330202243309 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 302 + 0 + 2 + 2 + 43 + 309 = 666.

It is not a de Polignac number, because 122330202243309 - 233 = 122321612308717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122330202243329) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54708174 + ... + 56900304.

It is an arithmetic number, because the mean of its divisors is an integer number (3859816148188).

Almost surely, 2122330202243309 is an apocalyptic number.

It is an amenable number.

122330202243309 is a deficient number, since it is larger than the sum of its proper divisors (62940972869715).

122330202243309 is a wasteful number, since it uses less digits than its factorization.

122330202243309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2195738 (or 2195735 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 122330202243309 in words is "one hundred twenty-two trillion, three hundred thirty billion, two hundred two million, two hundred forty-three thousand, three hundred nine".

Divisors: 1 3 9 41 43 123 129 369 387 1763 3517 5289 10551 15867 31653 144197 151231 432591 453693 1297773 1361079 2192131 6200471 6576393 18601413 19729179 55804239 89877371 94261633 269632113 282784899 808896339 848354697 3864726953 7709724727 11594180859 23129174181 34782542577 69387522543 316098713807 331518163261 948296141421 994554489783 2844888424263 2983663469349 13592244693701 40776734081103 122330202243309