Search a number
-
+
113212121220 = 2232511233767189
BaseRepresentation
bin110100101101111110…
…1111110000010000100
3101211012221120122022200
41221123331332002010
53323324300334340
6124001532354500
711115334103232
oct1513375760204
9354187518280
10113212121220
1144016322350
1219b36615a30
13a8a2b20953
14569da45952
152e290dc330
hex1a5bf7e084

113212121220 has 288 divisors, whose sum is σ = 401488738560. Its totient is φ = 25542190080.

The previous prime is 113212121213. The next prime is 113212121293. The reversal of 113212121220 is 22121212311.

113212121220 is a `hidden beast` number, since 1 + 1 + 321 + 2 + 121 + 220 = 666.

It is a super-2 number, since 2×1132121212202 (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 = 113212121193 and 113212121202.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1651386 + ... + 1718574.

It is an arithmetic number, because the mean of its divisors is an integer number (1394058120).

Almost surely, 2113212121220 is an apocalyptic number.

113212121220 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 113212121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200744369280).

113212121220 is an abundant number, since it is smaller than the sum of its proper divisors (288276617340).

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

113212121220 is a wasteful number, since it uses less digits than its factorization.

113212121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67275 (or 67270 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 113212121220 its reverse (22121212311), we get a palindrome (135333333531).

It can be divided in two parts, 113212 and 121220, that added together give a palindrome (234432).

The spelling of 113212121220 in words is "one hundred thirteen billion, two hundred twelve million, one hundred twenty-one thousand, two hundred twenty".