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201000312 = 23332340459
BaseRepresentation
bin10111111101100…
…00010101111000
3112000012212121000
423332300111320
5402424002222
631540045000
74660321512
oct1376602570
9460185530
10201000312
11a3506567
1257393760
13328476c6
141c9a2bb2
15129a59ac
hexbfb0578

201000312 has 64 divisors (see below), whose sum is σ = 582624000. Its totient is φ = 64085472.

The previous prime is 201000301. The next prime is 201000313. The reversal of 201000312 is 213000102.

It is a happy number.

It is a super-2 number, since 2×2010003122 = 80802250848194688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 201000294 and 201000303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201000313) 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, 15262 + ... + 25197.

It is an arithmetic number, because the mean of its divisors is an integer number (9103500).

Almost surely, 2201000312 is an apocalyptic number.

It is an amenable number.

201000312 is an abundant number, since it is smaller than the sum of its proper divisors (381623688).

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

201000312 is a wasteful number, since it uses less digits than its factorization.

201000312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40497 (or 40487 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 201000312 is about 14177.4578821452. The cubic root of 201000312 is about 585.7769033533.

Adding to 201000312 its reverse (213000102), we get a palindrome (414000414).

The spelling of 201000312 in words is "two hundred one million, three hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 621 828 1242 1656 2484 4968 40459 80918 121377 161836 242754 323672 364131 485508 728262 930557 971016 1092393 1456524 1861114 2184786 2791671 2913048 3722228 4369572 5583342 7444456 8375013 8739144 11166684 16750026 22333368 25125039 33500052 50250078 67000104 100500156 201000312