Search a number
-
+
1012130144120 = 235233729733553
BaseRepresentation
bin11101011101001111010…
…10000101111101111000
310120202111002102121000002
432232213222011331320
5113040320304102440
62052544405332132
7133060346163464
oct16564752057570
93522432377002
101012130144120
11360273097797
121441a8407048
137459c399604
1436db74614a4
151b4db643115
hexeba7a85f78

1012130144120 has 64 divisors (see below), whose sum is σ = 2440530112320. Its totient is φ = 376783570944.

The previous prime is 1012130144071. The next prime is 1012130144149. The reversal of 1012130144120 is 214410312101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1012130144092 and 1012130144101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14832737 + ... + 14900816.

It is an arithmetic number, because the mean of its divisors is an integer number (38133283005).

Almost surely, 21012130144120 is an apocalyptic number.

1012130144120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012130144120 is an abundant number, since it is smaller than the sum of its proper divisors (1428399968200).

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

1012130144120 is a wasteful number, since it uses less digits than its factorization.

1012130144120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29733624 (or 29733620 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 1012130144120 its reverse (214410312101), we get a palindrome (1226540456221).

The spelling of 1012130144120 in words is "one trillion, twelve billion, one hundred thirty million, one hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 37 40 46 74 92 115 148 184 185 230 296 370 460 740 851 920 1480 1702 3404 4255 6808 8510 17020 34040 29733553 59467106 118934212 148667765 237868424 297335530 594671060 683871719 1100141461 1189342120 1367743438 2200282922 2735486876 3419358595 4400565844 5470973752 5500707305 6838717190 8801131688 11001414610 13677434380 22002829220 25303253603 27354868760 44005658440 50606507206 101213014412 126516268015 202426028824 253032536030 506065072060 1012130144120