Search a number
-
+
112312130220 = 223254273146023
BaseRepresentation
bin110100010011001010…
…0110001101010101100
3101201220020002100202200
41220212110301222230
53320003401131340
6123332342421500
711054125232613
oct1504624615254
9351806070680
10112312130220
11436a42a6834
1219925131890
13a78b52b3b4
1456162cc87a
152dc50b3330
hex1a26531aac

112312130220 has 72 divisors (see below), whose sum is σ = 340762190496. Its totient is φ = 29942687232.

The previous prime is 112312130213. The next prime is 112312130221. The reversal of 112312130220 is 22031213211.

112312130220 is a `hidden beast` number, since 1 + 1 + 2 + 312 + 130 + 220 = 666.

It is a super-2 number, since 2×1123121302202 (a number of 23 digits) contains 22 as substring.

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 = 112312130193 and 112312130202.

It is not an unprimeable number, because it can be changed into a prime (112312130221) by changing a digit.

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, 696129 + ... + 842151.

Almost surely, 2112312130220 is an apocalyptic number.

112312130220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112312130220 is an abundant number, since it is smaller than the sum of its proper divisors (228450060276).

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

112312130220 is a wasteful number, since it uses less digits than its factorization.

112312130220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150311 (or 150306 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 112312130220 its reverse (22031213211), we get a palindrome (134343343431).

The spelling of 112312130220 in words is "one hundred twelve billion, three hundred twelve million, one hundred thirty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 4273 8546 12819 17092 21365 25638 38457 42730 51276 64095 76914 85460 128190 146023 153828 192285 256380 292046 384570 438069 584092 730115 769140 876138 1314207 1460230 1752276 2190345 2628414 2920460 4380690 5256828 6571035 8761380 13142070 26284140 623956279 1247912558 1871868837 2495825116 3119781395 3743737674 5615606511 6239562790 7487475348 9359344185 11231213022 12479125580 18718688370 22462426044 28078032555 37437376740 56156065110 112312130220