Search a number
-
+
112321133100 = 22325211372391283
BaseRepresentation
bin110100010011011011…
…1000111101000101100
3101201220212000202101200
41220212313013220230
53320013202224400
6123333303405500
711054264610231
oct1504667075054
9351825022350
10112321133100
11436a9395830
1219928153890
13a790361147
145617593788
152dc5c90b00
hex1a26dc7a2c

112321133100 has 432 divisors, whose sum is σ = 396409628160. Its totient is φ = 26362022400.

The previous prime is 112321133087. The next prime is 112321133101. The reversal of 112321133100 is 1331123211.

112321133100 is a `hidden beast` number, since 1 + 12 + 321 + 1 + 331 + 0 + 0 = 666.

It is a super-2 number, since 2×1123211331002 (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 not an unprimeable number, because it can be changed into a prime (112321133101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 87545059 + ... + 87546341.

It is an arithmetic number, because the mean of its divisors is an integer number (917614880).

Almost surely, 2112321133100 is an apocalyptic number.

112321133100 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 112321133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198204814080).

112321133100 is an abundant number, since it is smaller than the sum of its proper divisors (284088495060).

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

112321133100 is a wasteful number, since it uses less digits than its factorization.

112321133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 1580 counting only the distinct ones).

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

Adding to 112321133100 its reverse (1331123211), we get a palindrome (113652256311).

The spelling of 112321133100 in words is "one hundred twelve billion, three hundred twenty-one million, one hundred thirty-three thousand, one hundred".