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12701300 = 2252157809
BaseRepresentation
bin110000011100…
…111001110100
3212220021220112
4300130321310
511222420200
61132122152
7212650013
oct60347164
925807815
1012701300
117195747
124306358
132829281
141988a7a
1511ad535
hexc1ce74

12701300 has 36 divisors (see below), whose sum is σ = 27771660. Its totient is φ = 5041920.

The previous prime is 12701287. The next prime is 12701317. The reversal of 12701300 is 310721.

12701300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 13456 + 12687844 = 116^2 + 3562^2 .

It is a super-2 number, since 2×127013002 = 322646043380000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15296 + ... + 16104.

It is an arithmetic number, because the mean of its divisors is an integer number (771435).

Almost surely, 212701300 is an apocalyptic number.

12701300 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 12701300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13885830).

12701300 is an abundant number, since it is smaller than the sum of its proper divisors (15070360).

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

12701300 is a wasteful number, since it uses less digits than its factorization.

12701300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 12701300 is about 3563.8883259721. Note that the first 3 decimals coincide. The cubic root of 12701300 is about 233.3186158518.

The spelling of 12701300 in words is "twelve million, seven hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 157 314 628 785 809 1570 1618 3140 3236 3925 4045 7850 8090 15700 16180 20225 40450 80900 127013 254026 508052 635065 1270130 2540260 3175325 6350650 12701300