Search a number
-
+
130123032120 = 23335120484289
BaseRepresentation
bin111100100101111101…
…1111110011000111000
3110102212111102220222000
41321023323332120320
54112442444011440
6135435552101000
712254366344404
oct1711373763070
9412774386860
10130123032120
1150204071a74
1221275b34760
13c3695208c3
146425974104
1535b8a67730
hex1e4befe638

130123032120 has 64 divisors (see below), whose sum is σ = 433743444000. Its totient is φ = 34699474944.

The previous prime is 130123032107. The next prime is 130123032167. The reversal of 130123032120 is 21230321031.

130123032120 is a `hidden beast` number, since 1 + 301 + 23 + 0 + 321 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 130123032093 and 130123032102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60241065 + ... + 60243224.

Almost surely, 2130123032120 is an apocalyptic number.

130123032120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130123032120 is an abundant number, since it is smaller than the sum of its proper divisors (303620411880).

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

130123032120 is a wasteful number, since it uses less digits than its factorization.

130123032120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120484309 (or 120484299 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 130123032120 its reverse (21230321031), we get a palindrome (151353353151).

The spelling of 130123032120 in words is "one hundred thirty billion, one hundred twenty-three million, thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 120484289 240968578 361452867 481937156 602421445 722905734 963874312 1084358601 1204842890 1445811468 1807264335 2168717202 2409685780 2891622936 3253075803 3614528670 4337434404 4819371560 5421793005 6506151606 7229057340 8674868808 10843586010 13012303212 14458114680 16265379015 21687172020 26024606424 32530758030 43374344040 65061516060 130123032120