Search a number
-
+
1106502012 = 22337111947149
BaseRepresentation
bin100000111110011…
…1110000101111100
32212010002010102000
41001330332011330
54231231031022
6301444102300
736264053250
oct10174760574
92763063360
101106502012
11518656380
1226a694990
13148319325
14a6d52260
156721c6ac
hex41f3e17c

1106502012 has 384 divisors, whose sum is σ = 3870720000. Its totient is φ = 264695040.

The previous prime is 1106502011. The next prime is 1106502013. The reversal of 1106502012 is 2102056011.

1106502012 is a `hidden beast` number, since 1 + 1 + 0 + 650 + 2 + 0 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (1106502011) and next prime (1106502013).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106502011) 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 127 ways as a sum of consecutive naturals, for example, 7426114 + ... + 7426262.

It is an arithmetic number, because the mean of its divisors is an integer number (10080000).

Almost surely, 21106502012 is an apocalyptic number.

1106502012 is a gapful number since it is divisible by the number (12) 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 1106502012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935360000).

1106502012 is an abundant number, since it is smaller than the sum of its proper divisors (2764217988).

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

1106502012 is a wasteful number, since it uses less digits than its factorization.

1106502012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1106502012 is about 33264.1249997651. The cubic root of 1106502012 is about 1034.3100295346.

Adding to 1106502012 its reverse (2102056011), we get a palindrome (3208558023).

The spelling of 1106502012 in words is "one billion, one hundred six million, five hundred two thousand, twelve".