Search a number
-
+
120023014125 = 3537295926723
BaseRepresentation
bin110111111000111101…
…1011101101011101101
3102110210121110211221110
41233301323131223231
53431301342423000
6131045433422233
711446165533660
oct1576173355355
9373717424843
10120023014125
11469a0953a63
121b31756a979
13b419bb46b1
145b484176d7
1531c6eee850
hex1bf1eddaed

120023014125 has 128 divisors (see below), whose sum is σ = 240131174400. Its totient is φ = 52075833600.

The previous prime is 120023014103. The next prime is 120023014127. The reversal of 120023014125 is 521410320021.

It is not a de Polignac number, because 120023014125 - 27 = 120023013997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120023014127) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4478014 + ... + 4504736.

It is an arithmetic number, because the mean of its divisors is an integer number (1876024800).

Almost surely, 2120023014125 is an apocalyptic number.

120023014125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120023014125 is an abundant number, since it is smaller than the sum of its proper divisors (120108160275).

120023014125 is a wasteful number, since it uses less digits than its factorization.

120023014125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26836 (or 26826 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 120023014125 its reverse (521410320021), we get a palindrome (641433334146).

The spelling of 120023014125 in words is "one hundred twenty billion, twenty-three million, fourteen thousand, one hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 29 35 59 75 87 105 125 145 175 177 203 295 375 413 435 525 609 725 875 885 1015 1239 1475 1711 2065 2175 2625 3045 3625 4425 5075 5133 6195 7375 8555 10325 10875 11977 15225 22125 25375 25665 26723 30975 35931 42775 51625 59885 76125 80169 128325 133615 154875 179655 187061 213875 299425 400845 561183 641625 668075 774967 898275 935305 1497125 1576657 2004225 2324901 2805915 3340375 3874835 4491375 4676525 4729971 5424769 7883285 10021125 11036599 11624505 14029575 16274307 19374175 23382625 23649855 27123845 33109797 39416425 45723053 55182995 58122525 70147875 81371535 96870875 118249275 135619225 137169159 165548985 197082125 228615265 275914975 290612625 320061371 406857675 591246375 678096125 685845795 827744925 960184113 1143076325 1379574875 1600306855 2034288375 3429228975 4138724625 4800920565 5715381625 8001534275 17146144875 24004602825 40007671375 120023014125