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122020231302 = 233101151229647
BaseRepresentation
bin111000110100011111…
…0001111100010000110
3102122221210120222212000
41301220332033202012
53444344134400202
6132015541010130
711546526565404
oct1615076174206
9378853528760
10122020231302
114782626a872
121b7943b3946
13b6778c61c8
145c9778a474
15329251291c
hex1c68f8f886

122020231302 has 128 divisors (see below), whose sum is σ = 277285939200. Its totient is φ = 39767760000.

The previous prime is 122020231301. The next prime is 122020231309. The reversal of 122020231302 is 203132020221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122020231301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 188593543 + ... + 188594189.

It is an arithmetic number, because the mean of its divisors is an integer number (2166296400).

Almost surely, 2122020231302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122020231302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138642969600).

122020231302 is an abundant number, since it is smaller than the sum of its proper divisors (155265707898).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122020231302 is a wasteful number, since it uses less digits than its factorization.

122020231302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 122020231302 its reverse (203132020221), we get a palindrome (325152251523).

The spelling of 122020231302 in words is "one hundred twenty-two billion, twenty million, two hundred thirty-one thousand, three hundred two".

Divisors: 1 2 3 6 9 18 27 54 101 151 202 229 302 303 453 458 606 647 687 906 909 1294 1359 1374 1818 1941 2061 2718 2727 3882 4077 4122 5454 5823 6183 8154 11646 12366 15251 17469 23129 30502 34579 34938 45753 46258 65347 69158 69387 91506 97697 103737 130694 137259 138774 148163 195394 196041 207474 208161 274518 293091 296326 311211 392082 411777 416322 444489 586182 588123 622422 624483 823554 879273 888978 933633 1176246 1248966 1333467 1758546 1764369 1867266 2637819 2666934 3492479 3528738 4000401 5275638 6984958 8000802 9867397 10477437 14964463 19734794 20954874 22372613 29602191 29928926 31432311 44745226 44893389 59204382 62864622 67117839 88806573 89786778 94296933 134235678 134680167 177613146 188593866 201353517 266419719 269360334 402707034 404040501 532839438 604060551 808081002 1208121102 2259633913 4519267826 6778901739 13557803478 20336705217 40673410434 61010115651 122020231302