Search a number
-
+
109281297312 = 253311371272447
BaseRepresentation
bin110010111000110101…
…1000100001110100000
3101110002000001002122000
41211301223010032200
53242302003003222
6122111513244000
710616043462225
oct1456153041640
9343060032560
10109281297312
1142389497150
121921a103600
13a3c763ca45
14540997b94c
152c98e7d9ac
hex1971ac43a0

109281297312 has 384 divisors, whose sum is σ = 360069857280. Its totient is φ = 31953761280.

The previous prime is 109281297277. The next prime is 109281297331. The reversal of 109281297312 is 213792182901.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44658073 + ... + 44660519.

It is an arithmetic number, because the mean of its divisors is an integer number (937681920).

Almost surely, 2109281297312 is an apocalyptic number.

109281297312 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 109281297312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180034928640).

109281297312 is an abundant number, since it is smaller than the sum of its proper divisors (250788559968).

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

109281297312 is a wasteful number, since it uses less digits than its factorization.

109281297312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2641 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 109281297312 in words is "one hundred nine billion, two hundred eighty-one million, two hundred ninety-seven thousand, three hundred twelve".