Search a number
-
+
112300001220 = 2235111941218423
BaseRepresentation
bin110100010010110011…
…0100000011111000100
3101201212101021010220110
41220211212200133010
53314442300014340
6123331230433020
711053620155241
oct1504546403704
9351771233813
10112300001220
1143698472070
1219921062770
13a788b72784
1456148525c8
152dc3eb9680
hex1a259a07c4

112300001220 has 192 divisors, whose sum is σ = 369887938560. Its totient is φ = 25162214400.

The previous prime is 112300001197. The next prime is 112300001221. The reversal of 112300001220 is 22100003211.

It is a super-2 number, since 2×1123000012202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 112300001196 and 112300001205.

It is not an unprimeable number, because it can be changed into a prime (112300001221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 404929 + ... + 623351.

It is an arithmetic number, because the mean of its divisors is an integer number (1926499680).

Almost surely, 2112300001220 is an apocalyptic number.

112300001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112300001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184943969280).

112300001220 is an abundant number, since it is smaller than the sum of its proper divisors (257587937340).

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

112300001220 is a wasteful number, since it uses less digits than its factorization.

112300001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218506 (or 218504 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 112300001220 its reverse (22100003211), we get a palindrome (134400004431).

The spelling of 112300001220 in words is "one hundred twelve billion, three hundred million, one thousand, two hundred twenty".