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120144233130 = 23523317549281
BaseRepresentation
bin110111111100100100…
…1111000001010101010
3102111010001120102011020
41233321021320022222
53432023410430010
6131105443513310
711452200063105
oct1577111701252
9374101512136
10120144233130
1146a53318659
121b350088836
13b43904740c
145b5a56d73c
1531d2996470
hex1bf92782aa

120144233130 has 64 divisors (see below), whose sum is σ = 301832656128. Its totient is φ = 30548756480.

The previous prime is 120144233117. The next prime is 120144233179. The reversal of 120144233130 is 31332441021.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 120144233130.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55911 + ... + 493370.

It is an arithmetic number, because the mean of its divisors is an integer number (4716135252).

Almost surely, 2120144233130 is an apocalyptic number.

120144233130 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 120144233130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150916328064).

120144233130 is an abundant number, since it is smaller than the sum of its proper divisors (181688422998).

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

120144233130 is a wasteful number, since it uses less digits than its factorization.

120144233130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549631.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 120144233130 its reverse (31332441021), we get a palindrome (151476674151).

The spelling of 120144233130 in words is "one hundred twenty billion, one hundred forty-four million, two hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 317 345 634 690 951 1585 1902 3170 4755 7291 9510 14582 21873 36455 43746 72910 109365 218730 549281 1098562 1647843 2746405 3295686 5492810 8239215 12633463 16478430 25266926 37900389 63167315 75800778 126334630 174122077 189501945 348244154 379003890 522366231 870610385 1044732462 1741220770 2611831155 4004807771 5223662310 8009615542 12014423313 20024038855 24028846626 40048077710 60072116565 120144233130