Search a number
-
+
130123311100020 = 223257103272469127
BaseRepresentation
bin11101100101100010110001…
…101111000011000001110100
3122001201200000021121012121100
4131211202301233003001310
5114023420020120200040
61140425453542450100
736260045644566630
oct3545426157030164
9561650007535540
10130123311100020
1138508a93898847
1212716929733930
13577b76373a024
14241c00516ddc0
151009c15095b30
hex7658b1bc3074

130123311100020 has 72 divisors (see below), whose sum is σ = 451094145151104. Its totient is φ = 29742471108288.

The previous prime is 130123311099953. The next prime is 130123311100021. The reversal of 130123311100020 is 20001113321031.

130123311100020 is a `hidden beast` number, since 1 + 301 + 2 + 331 + 1 + 10 + 0 + 0 + 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 = 130123311099966 and 130123311100002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130123311100021) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 51636233304 + ... + 51636235823.

It is an arithmetic number, because the mean of its divisors is an integer number (6265196460432).

Almost surely, 2130123311100020 is an apocalyptic number.

130123311100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130123311100020 is an abundant number, since it is smaller than the sum of its proper divisors (320970834051084).

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

130123311100020 is a wasteful number, since it uses less digits than its factorization.

130123311100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103272469149 (or 103272469144 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 130123311100020 its reverse (20001113321031), we get a palindrome (150124424421051).

The spelling of 130123311100020 in words is "one hundred thirty trillion, one hundred twenty-three billion, three hundred eleven million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 103272469127 206544938254 309817407381 413089876508 516362345635 619634814762 722907283889 929452222143 1032724691270 1239269629524 1445814567778 1549087036905 1858904444286 2065449382540 2168721851667 2891629135556 3098174073810 3614536419445 3717808888572 4337443703334 4647261110715 6196348147620 6506165555001 7229072838890 8674887406668 9294522221430 10843609258335 13012331110002 14458145677780 18589044442860 21687218516670 26024662220004 32530827775005 43374437033340 65061655550010 130123311100020