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122313321 = 3513311249
BaseRepresentation
bin1110100101001…
…01101001101001
322112011011100000
413102211221221
5222303011241
620045333213
73013434414
oct722455151
9275134300
10122313321
1163051899
1234b67209
131c456b60
141235cb7b
15ab10eb6
hex74a5a69

122313321 has 48 divisors (see below), whose sum is σ = 203840000. Its totient is φ = 72783360.

The previous prime is 122313307. The next prime is 122313341. The reversal of 122313321 is 123313221.

It is not a de Polignac number, because 122313321 - 27 = 122313193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122313294 and 122313303.

It is not an unprimeable number, because it can be changed into a prime (122313341) 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, 97305 + ... + 98553.

Almost surely, 2122313321 is an apocalyptic number.

It is an amenable number.

122313321 is a deficient number, since it is larger than the sum of its proper divisors (81526679).

122313321 is a wasteful number, since it uses less digits than its factorization.

122313321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308 (or 1296 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 122313321 is about 11059.5352976515. The cubic root of 122313321 is about 496.3917855450.

Adding to 122313321 its reverse (123313221), we get a palindrome (245626542).

The spelling of 122313321 in words is "one hundred twenty-two million, three hundred thirteen thousand, three hundred twenty-one".

Divisors: 1 3 9 13 27 31 39 81 93 117 243 279 351 403 837 1053 1209 1249 2511 3159 3627 3747 7533 10881 11241 16237 32643 33723 38719 48711 97929 101169 116157 146133 303507 348471 438399 503347 1045413 1315197 1510041 3136239 3945591 4530123 9408717 13590369 40771107 122313321