Search a number
-
+
120011330321130 = 23517674318148919
BaseRepresentation
bin11011010010011001010000…
…101101100111101011101010
3120201220222012221202222120210
4123102121100231213223222
5111212231201030234010
61103124235525001550
734164350433263313
oct3322312055475352
9521828187688523
10120011330321130
113526a579306176
1211562bbb8532b6
1351c703490a2c1
14218c817b6760a
15dd1b841e2b20
hex6d2650b67aea

120011330321130 has 128 divisors (see below), whose sum is σ = 310239945400320. Its totient is φ = 29602085483520.

The previous prime is 120011330321111. The next prime is 120011330321131. The reversal of 120011330321130 is 31123033110021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 120011330321097 and 120011330321106.

It is not an unprimeable number, because it can be changed into a prime (120011330321131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10652811 + ... + 18801729.

It is an arithmetic number, because the mean of its divisors is an integer number (2423749573440).

Almost surely, 2120011330321130 is an apocalyptic number.

120011330321130 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 120011330321130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155119972700160).

120011330321130 is an abundant number, since it is smaller than the sum of its proper divisors (190228615079190).

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

120011330321130 is a wasteful number, since it uses less digits than its factorization.

120011330321130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8149444.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 120011330321130 its reverse (31123033110021), we get a palindrome (151134363431151).

The spelling of 120011330321130 in words is "one hundred twenty trillion, eleven billion, three hundred thirty million, three hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 67 85 102 134 170 201 255 335 402 431 510 670 862 1005 1139 1293 2010 2155 2278 2586 3417 4310 5695 6465 6834 7327 11390 12930 14654 17085 21981 28877 34170 36635 43962 57754 73270 86631 109905 144385 173262 219810 288770 433155 490909 866310 981818 1472727 2454545 2945454 4909090 7363635 8148919 14727270 16297838 24446757 40744595 48893514 81489190 122233785 138531623 244467570 277063246 415594869 545977573 692658115 831189738 1091955146 1385316230 1637932719 2077974345 2729887865 3275865438 3512184089 4155948690 5459775730 7024368178 8189663595 9281618741 10536552267 16379327190 17560920445 18563237482 21073104534 27844856223 35121840890 46408093705 52682761335 55689712446 59707129513 92816187410 105365522670 119414259026 139224281115 179121388539 235316333963 278448562230 298535647565 358242777078 470632667926 597071295130 705949001889 895606942695 1176581669815 1411898003778 1791213885390 2353163339630 3529745009445 4000377677371 7059490018890 8000755354742 12001133032113 20001888386855 24002266064226 40003776773710 60005665160565 120011330321130