Search a number
-
+
120024030131310 = 235191317027122827
BaseRepresentation
bin11011010010100101000101…
…101011100011010001101110
3120201222012000000201012000210
4123102211011223203101232
5111212433203203200220
61103134140034003250
734165310233011054
oct3322450553432156
9521865000635023
10120024030131310
11352749a5a97568
1211565564a16526
1351c82a9a45996
14218d2a06b01d4
15dd21790e96e0
hex6d2945ae346e

120024030131310 has 64 divisors (see below), whose sum is σ = 288227524476672. Its totient is φ = 31987537840896.

The previous prime is 120024030131261. The next prime is 120024030131311. The reversal of 120024030131310 is 13131030420021.

It is a super-2 number, since 2×1200240301313102 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120024030131311) 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, 977118117 + ... + 977240943.

It is an arithmetic number, because the mean of its divisors is an integer number (4503555069948).

Almost surely, 2120024030131310 is an apocalyptic number.

120024030131310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120024030131310 is an abundant number, since it is smaller than the sum of its proper divisors (168203494345362).

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

120024030131310 is a wasteful number, since it uses less digits than its factorization.

120024030131310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141777.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 120024030131310 its reverse (13131030420021), we get a palindrome (133155060551331).

The spelling of 120024030131310 in words is "one hundred twenty trillion, twenty-four billion, thirty million, one hundred thirty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 1913 3826 5739 9565 11478 17027 19130 28695 34054 51081 57390 85135 102162 122827 170270 245654 255405 368481 510810 614135 736962 1228270 1842405 3684810 32572651 65145302 97717953 162863255 195435906 234968051 325726510 469936102 488589765 704904153 977179530 1174840255 1409808306 2091375329 2349680510 3524520765 4182750658 6274125987 7049041530 10456876645 12548251974 20913753290 31370629935 62741259870 4000801004377 8001602008754 12002403013131 20004005021885 24004806026262 40008010043770 60012015065655 120024030131310