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120224130 = 235134367107
BaseRepresentation
bin1110010101001…
…11100110000010
322101020000111120
413022213212002
5221234133010
615532453110
72656613445
oct712474602
9271200446
10120224130
1161955194
123431a196
131bba4c50
1411d7765c
15a84be70
hex72a7982

120224130 has 128 divisors (see below), whose sum is σ = 325721088. Its totient is φ = 28207872.

The previous prime is 120224099. The next prime is 120224131. The reversal of 120224130 is 31422021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (120224131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1123537 + ... + 1123643.

It is an arithmetic number, because the mean of its divisors is an integer number (2544696).

Almost surely, 2120224130 is an apocalyptic number.

120224130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120224130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162860544).

120224130 is an abundant number, since it is smaller than the sum of its proper divisors (205496958).

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

120224130 is a wasteful number, since it uses less digits than its factorization.

120224130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 120224130 is about 10964.6764658151. The cubic root of 120224130 is about 493.5493083853.

Adding to 120224130 its reverse (31422021), we get a palindrome (151646151).

The spelling of 120224130 in words is "one hundred twenty million, two hundred twenty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 43 65 67 78 86 107 129 130 134 195 201 214 215 258 321 335 390 402 430 535 559 642 645 670 871 1005 1070 1118 1290 1391 1605 1677 1742 2010 2613 2782 2795 2881 3210 3354 4173 4355 4601 5226 5590 5762 6955 7169 8346 8385 8643 8710 9202 13065 13803 13910 14338 14405 16770 17286 20865 21507 23005 26130 27606 28810 35845 37453 41730 43014 43215 46010 59813 69015 71690 74906 86430 93197 107535 112359 119626 138030 179439 186394 187265 215070 224718 279591 299065 308267 358878 374530 465985 559182 561795 598130 616534 897195 924801 931970 1123590 1397955 1541335 1794390 1849602 2795910 3082670 4007471 4624005 8014942 9248010 12022413 20037355 24044826 40074710 60112065 120224130