Search a number
-
+
122325052002205 = 5131923197142715319
BaseRepresentation
bin11011110100000100000101…
…010001011000111110011101
3121001010011100012022111002011
4123310010011101120332131
5112013133201303032310
61112055204134231221
734523456552133103
oct3364040521307635
9531104305274064
10122325052002205
1135a81843936348
12118774b84b5511
135334283a32990
14222c7c7ca3c73
15e21e4e33778a
hex6f4105458f9d

122325052002205 has 128 divisors (see below), whose sum is σ = 174651647385600. Its totient is φ = 81379325389824.

The previous prime is 122325052002191. The next prime is 122325052002229. The reversal of 122325052002205 is 502200250523221.

It is a happy number.

It is not a de Polignac number, because 122325052002205 - 27 = 122325052002077 is a prime.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 7985177536 + ... + 7985192854.

It is an arithmetic number, because the mean of its divisors is an integer number (1364465995200).

Almost surely, 2122325052002205 is an apocalyptic number.

It is an amenable number.

122325052002205 is a deficient number, since it is larger than the sum of its proper divisors (52326595383395).

122325052002205 is a wasteful number, since it uses less digits than its factorization.

122325052002205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17003.

The product of its (nonzero) digits is 24000, while the sum is 31.

The spelling of 122325052002205 in words is "one hundred twenty-two trillion, three hundred twenty-five billion, fifty-two million, two thousand, two hundred five".

Divisors: 1 5 13 19 23 65 95 115 197 247 299 437 985 1235 1427 1495 2185 2561 3743 4531 5681 7135 12805 15319 18551 18715 22655 27113 28405 32821 48659 58903 76595 86089 92755 135565 164105 199147 243295 281119 291061 294515 352337 352469 426673 430445 623599 995735 1119157 1405595 1455305 1761685 1762345 2133365 3017843 3117995 3654547 3783793 4580381 5341261 5595785 6465737 6694403 8106787 15089215 18272735 18918965 21860213 22901905 26706305 32328685 33472015 39231959 40533935 57339017 69410389 69436393 84054581 87027239 109301065 122849003 196159795 284182769 286695085 347051945 347181965 415344047 420272905 435136195 502784899 614245015 745407221 902335057 1318797391 1420913845 1597037039 2076720235 2513924495 3727036105 4306461961 4511675285 5399472611 6536203687 6593986955 7985185195 9552913081 17144366083 21532309805 26997363055 32681018435 47764565405 55984005493 81822777259 85721830415 99048625103 124187870053 279920027465 409113886295 495243125515 620939350265 1063696104367 1287632126339 1881923876957 5318480521835 6438160631695 9409619384785 24465010400441 122325052002205