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120132002320 = 245116718111257
BaseRepresentation
bin110111111100001101…
…1001110001000010000
3102111002012120000122021
41233320123032020100
53432012243033240
6131104325421224
711451661112551
oct1577033161020
9374065500567
10120132002320
1146a47424450
121b347b6a814
13b436654355
145b58aa8328
1531d187c54a
hex1bf86ce210

120132002320 has 160 divisors (see below), whose sum is σ = 310982345856. Its totient is φ = 42790809600.

The previous prime is 120132002281. The next prime is 120132002321. The reversal of 120132002320 is 23200231021.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 120132002294 and 120132002303.

It is not an unprimeable number, because it can be changed into a prime (120132002321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10666132 + ... + 10677388.

Almost surely, 2120132002320 is an apocalyptic number.

120132002320 is a gapful number since it is divisible by the number (10) 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 120132002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155491172928).

120132002320 is an abundant number, since it is smaller than the sum of its proper divisors (190850343536).

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

120132002320 is a wasteful number, since it uses less digits than its factorization.

120132002320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11529 (or 11523 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 120132002320 its reverse (23200231021), we get a palindrome (143332233341).

The spelling of 120132002320 in words is "one hundred twenty billion, one hundred thirty-two million, two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 67 80 88 110 134 176 181 220 268 335 362 440 536 670 724 737 880 905 1072 1340 1448 1474 1810 1991 2680 2896 2948 3620 3685 3982 5360 5896 7240 7370 7964 9955 11257 11792 12127 14480 14740 15928 19910 22514 24254 29480 31856 39820 45028 48508 56285 58960 60635 79640 90056 97016 112570 121270 123827 133397 159280 180112 194032 225140 242540 247654 266794 450280 485080 495308 533588 619135 666985 754219 900560 970160 990616 1067176 1238270 1333970 1508438 1981232 2037517 2134352 2476540 2667940 3016876 3771095 4075034 4953080 5335880 6033752 7542190 8150068 8296409 9906160 10187585 10671760 12067504 15084380 16300136 16592818 20375170 22412687 30168760 32600272 33185636 40750340 41482045 44825374 60337520 66371272 81500680 82964090 89650748 112063435 132742544 136513639 163001360 165928180 179301496 224126870 273027278 331856360 358602992 448253740 546054556 663712720 682568195 896507480 1092109112 1365136390 1501650029 1793014960 2184218224 2730272780 3003300058 5460545560 6006600116 7508250145 10921091120 12013200232 15016500290 24026400464 30033000580 60066001160 120132002320