Search a number
-
+
123203031120 = 243251313162717
BaseRepresentation
bin111001010111101111…
…0010001000001010000
3102210000020020110011200
41302233132101001100
54004304433443440
6132333152311200
711621041325361
oct1625736210120
9383006213150
10123203031120
1148282998884
121ba64542500
13b805977760
145d6a8bdb68
1533112a1c30
hex1caf791050

123203031120 has 120 divisors (see below), whose sum is σ = 445584329736. Its totient is φ = 30326897664.

The previous prime is 123203031113. The next prime is 123203031151. The reversal of 123203031120 is 21130302321.

123203031120 is a `hidden beast` number, since 1 + 2 + 320 + 30 + 311 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23970470976 + 99232560144 = 154824^2 + 315012^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 = 123203031093 and 123203031102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6571999 + ... + 6590718.

Almost surely, 2123203031120 is an apocalyptic number.

123203031120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123203031120 is an abundant number, since it is smaller than the sum of its proper divisors (322381298616).

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

123203031120 is a wasteful number, since it uses less digits than its factorization.

123203031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13162749 (or 13162740 counting only the distinct ones).

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

Adding to 123203031120 its reverse (21130302321), we get a palindrome (144333333441).

The spelling of 123203031120 in words is "one hundred twenty-three billion, two hundred three million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 9360 13162717 26325434 39488151 52650868 65813585 78976302 105301736 118464453 131627170 157952604 171115321 197440755 210603472 236928906 263254340 315905208 342230642 394881510 473857812 513345963 526508680 592322265 631810416 684461284 789763020 855576605 947715624 1026691926 1053017360 1184644530 1368922568 1540037889 1579526040 1711153210 1895431248 2053383852 2369289060 2566729815 2737845136 3080075778 3159052080 3422306420 4106767704 4738578120 5133459630 6160151556 6844612840 7700189445 8213535408 9477156240 10266919260 12320303112 13689225680 15400378890 20533838520 24640606224 30800757780 41067677040 61601515560 123203031120