Search a number
-
+
109082092500 = 22375471281
BaseRepresentation
bin110010110010111001…
…1001010001111010100
3101102120010012110000000
41211211303022033110
53241400003430000
6122040035451300
710611104326203
oct1454563121724
9342503173000
10109082092500
1142296aa7677
1219183456b30
13a3952a3684
1453cb32523a
152c86730000
hex1965cca3d4

109082092500 has 480 divisors, whose sum is σ = 364086455040. Its totient is φ = 28576800000.

The previous prime is 109082092489. The next prime is 109082092501. The reversal of 109082092500 is 5290280901.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109082092501) 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 159 ways as a sum of consecutive naturals, for example, 388192360 + ... + 388192640.

It is an arithmetic number, because the mean of its divisors is an integer number (758513448).

Almost surely, 2109082092500 is an apocalyptic number.

109082092500 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 109082092500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182043227520).

109082092500 is an abundant number, since it is smaller than the sum of its proper divisors (255004362540).

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

109082092500 is an frugal number, since it uses more digits than its factorization.

109082092500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 109082092500 in words is "one hundred nine billion, eighty-two million, ninety-two thousand, five hundred".