Search a number
-
+
120281253400 = 235271116347917
BaseRepresentation
bin111000000000101010…
…0100100011000011000
3102111110121101202122001
41300001110210120120
53432314000102100
6131131220410344
711455452533110
oct1600124443030
9374417352561
10120281253400
11470136a4a50
121b389b469b4
13b45b5503b9
145b7083a040
1531dea0ed6a
hex1c01524618

120281253400 has 192 divisors, whose sum is σ = 350805761280. Its totient is φ = 37259481600.

The previous prime is 120281253371. The next prime is 120281253461. The reversal of 120281253400 is 4352182021.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2486242 + ... + 2534158.

It is an arithmetic number, because the mean of its divisors is an integer number (1827113340).

Almost surely, 2120281253400 is an apocalyptic number.

120281253400 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 120281253400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175402880640).

120281253400 is an abundant number, since it is smaller than the sum of its proper divisors (230524507880).

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

120281253400 is a wasteful number, since it uses less digits than its factorization.

120281253400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48114 (or 48105 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The spelling of 120281253400 in words is "one hundred twenty billion, two hundred eighty-one million, two hundred fifty-three thousand, four hundred".