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120302101112232 = 23313569947715577
BaseRepresentation
bin11011010110101000000100…
…000000001010010110101000
3120202221202202021022121211010
4123112220010000022112220
5111232012200341042412
61103510004452103520
734224353133235254
oct3326500400122650
9522852667277733
10120302101112232
113537191a8991a6
12115ab42a304ba0
135218593645750
14219c91d26b264
15dd95014eb33c
hex6d6a0400a5a8

120302101112232 has 128 divisors (see below), whose sum is σ = 324802571587200. Its totient is φ = 36911906009088.

The previous prime is 120302101112231. The next prime is 120302101112357. The reversal of 120302101112232 is 232211101203021.

It is a super-2 number, since 2×1203021011122322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120302101112199 and 120302101112208.

It is not an unprimeable number, because it can be changed into a prime (120302101112231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167761228 + ... + 168476804.

It is an arithmetic number, because the mean of its divisors is an integer number (2537520090525).

Almost surely, 2120302101112232 is an apocalyptic number.

120302101112232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120302101112232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162401285793600).

120302101112232 is an abundant number, since it is smaller than the sum of its proper divisors (204500470474968).

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

120302101112232 is a wasteful number, since it uses less digits than its factorization.

120302101112232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717115 (or 717111 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 120302101112232 its reverse (232211101203021), we get a palindrome (352513202315253).

The spelling of 120302101112232 in words is "one hundred twenty trillion, three hundred two billion, one hundred one million, one hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 569 947 1138 1707 1894 2276 2841 3414 3788 4552 5682 6828 7397 7576 11364 12311 13656 14794 22191 22728 24622 29588 36933 44382 49244 59176 73866 88764 98488 147732 177528 295464 538843 715577 1077686 1431154 1616529 2146731 2155372 2862308 3233058 4293462 4310744 5724616 6466116 7004959 8586924 9302501 12932232 14009918 17173848 18605002 21014877 27907503 28019836 37210004 42029754 55815006 56039672 74420008 84059508 111630012 168119016 223260024 407163313 677651419 814326626 1221489939 1355302838 1628653252 2032954257 2442979878 2710605676 3257306504 4065908514 4885959756 5293123069 5421211352 8131817028 8809468447 9771919512 10586246138 15879369207 16263634056 17618936894 21172492276 26428405341 31758738414 35237873788 42344984552 52856810682 63517476828 70475747576 105713621364 127034953656 211427242728 385583657411 771167314822 1156750972233 1542334629644 2313501944466 3084669259288 4627003888932 5012587546343 9254007777864 10025175092686 15037762639029 20050350185372 30075525278058 40100700370744 60151050556116 120302101112232