Search a number
-
+
110220739992 = 2332111736611217
BaseRepresentation
bin110011010100110101…
…0110000010110011000
3101112111110202201201100
41212221222300112120
53301213002134432
6122345032551400
710651241555166
oct1465152602630
9345443681640
10110220739992
1142820809360
1219440852560
13a51716639c
145498644236
152d0169c07c
hex19a9ab0598

110220739992 has 192 divisors, whose sum is σ = 328299622560. Its totient is φ = 33129676800.

The previous prime is 110220739949. The next prime is 110220739999. The reversal of 110220739992 is 299937022011.

It is a super-2 number, since 2×1102207399922 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110220739999) 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 47 ways as a sum of consecutive naturals, for example, 90566968 + ... + 90568184.

Almost surely, 2110220739992 is an apocalyptic number.

110220739992 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 110220739992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164149811280).

110220739992 is an abundant number, since it is smaller than the sum of its proper divisors (218078882568).

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

110220739992 is a wasteful number, since it uses less digits than its factorization.

110220739992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2074 (or 2067 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 110220739992 in words is "one hundred ten billion, two hundred twenty million, seven hundred thirty-nine thousand, nine hundred ninety-two".