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120320113232 = 24117917350021
BaseRepresentation
bin111000000001110100…
…0110011101001010000
3102111120022112001022002
41300003220303221100
53432403422110412
6131135125333132
711456434042064
oct1600350635120
9374508461262
10120320113232
1147033626a10
121b39ab671a8
13b466607c97
145b75a73aa4
1531e3138dc2
hex1c03a33a50

120320113232 has 80 divisors (see below), whose sum is σ = 259025921280. Its totient is φ = 53685465600.

The previous prime is 120320113229. The next prime is 120320113247. The reversal of 120320113232 is 232311023021.

120320113232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1203201132322 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2380382 + ... + 2430402.

It is an arithmetic number, because the mean of its divisors is an integer number (3237824016).

Almost surely, 2120320113232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120320113232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129512960640).

120320113232 is an abundant number, since it is smaller than the sum of its proper divisors (138705808048).

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

120320113232 is a wasteful number, since it uses less digits than its factorization.

120320113232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50292 (or 50286 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 120320113232 its reverse (232311023021), we get a palindrome (352631136253).

The spelling of 120320113232 in words is "one hundred twenty billion, three hundred twenty million, one hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 79 88 158 173 176 316 346 632 692 869 1264 1384 1738 1903 2768 3476 3806 6952 7612 13667 13904 15224 27334 30448 50021 54668 100042 109336 150337 200084 218672 300674 400168 550231 601348 800336 1100462 1202696 2200924 2405392 3951659 4401848 7903318 8653633 8803696 15806636 17307266 31613272 34614532 43468249 63226544 69229064 86936498 95189963 138458128 173872996 190379926 347745992 380759852 683637007 695491984 761519704 1367274014 1523039408 2734548028 5469096056 7520007077 10938192112 15040014154 30080028308 60160056616 120320113232