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201310000 = 245441491
BaseRepresentation
bin10111111111110…
…11111100110000
3112000210121101221
423333323330300
5403013410000
631550434424
74663051423
oct1377737460
9460717357
10201310000
11a36a8201
1257502a14
1332925658
141ca439ba
1512a1761a
hexbffbf30

201310000 has 100 divisors (see below), whose sum is σ = 500296104. Its totient is φ = 78400000.

The previous prime is 201309973. The next prime is 201310013. The reversal of 201310000 is 13102.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×2013100002 = 81051432200000000, which contains 22 as substring.

201310000 is a Rhonda number in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 409755 + ... + 410245.

Almost surely, 2201310000 is an apocalyptic number.

201310000 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 201310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250148052).

201310000 is an abundant number, since it is smaller than the sum of its proper divisors (298986104).

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

201310000 is an equidigital number, since it uses as much as digits as its factorization.

201310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 201310000 is about 14188.3755236461. The cubic root of 201310000 is about 586.0775910957.

Adding to 201310000 its reverse (13102), we get a palindrome (201323102).

The spelling of 201310000 in words is "two hundred one million, three hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 125 164 200 205 250 328 400 410 491 500 625 656 820 982 1000 1025 1250 1640 1964 2000 2050 2455 2500 3280 3928 4100 4910 5000 5125 7856 8200 9820 10000 10250 12275 16400 19640 20131 20500 24550 25625 39280 40262 41000 49100 51250 61375 80524 82000 98200 100655 102500 122750 161048 196400 201310 205000 245500 306875 322096 402620 410000 491000 503275 613750 805240 982000 1006550 1227500 1610480 2013100 2455000 2516375 4026200 4910000 5032750 8052400 10065500 12581875 20131000 25163750 40262000 50327500 100655000 201310000