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201302000 = 2453251401
BaseRepresentation
bin10111111111110…
…01111111110000
3112000210012102122
423333321333300
5403013131000
631550333412
74663016204
oct1377717760
9460705378
10201302000
11a36a2199
12574ba268
1332921b13
141ca40b04
1512a15085
hexbff9ff0

201302000 has 80 divisors (see below), whose sum is σ = 489906144. Its totient is φ = 80000000.

The previous prime is 201301999. The next prime is 201302009. The reversal of 201302000 is 203102.

201302000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201302009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 501800 + ... + 502200.

Almost surely, 2201302000 is an apocalyptic number.

201302000 is a gapful number since it is divisible by the number (20) 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 201302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244953072).

201302000 is an abundant number, since it is smaller than the sum of its proper divisors (288604144).

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

201302000 is a wasteful number, since it uses less digits than its factorization.

201302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 201302000 is about 14188.0935999168. The cubic root of 201302000 is about 586.0698274760.

Adding to 201302000 its reverse (203102), we get a palindrome (201505102).

The spelling of 201302000 in words is "two hundred one million, three hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 251 400 401 500 502 802 1000 1004 1255 1604 2000 2005 2008 2510 3208 4010 4016 5020 6275 6416 8020 10025 10040 12550 16040 20050 20080 25100 31375 32080 40100 50125 50200 62750 80200 100250 100400 100651 125500 160400 200500 201302 251000 401000 402604 502000 503255 802000 805208 1006510 1610416 2013020 2516275 4026040 5032550 8052080 10065100 12581375 20130200 25162750 40260400 50325500 100651000 201302000