Search a number
-
+
201312300 = 223527175639
BaseRepresentation
bin10111111111111…
…00100000101100
3112000210201120010
423333330200230
5403013443200
631550453220
74663061220
oct1377744054
9460721503
10201312300
11a36a9a02
1257504210
1332926707
141ca44780
1512a18150
hexbffc82c

201312300 has 144 divisors (see below), whose sum is σ = 704954880. Its totient is φ = 43299840.

The previous prime is 201312299. The next prime is 201312341. The reversal of 201312300 is 3213102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32881 + ... + 38519.

It is an arithmetic number, because the mean of its divisors is an integer number (4895520).

Almost surely, 2201312300 is an apocalyptic number.

201312300 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 201312300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352477440).

201312300 is an abundant number, since it is smaller than the sum of its proper divisors (503642580).

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

201312300 is a wasteful number, since it uses less digits than its factorization.

201312300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5680 (or 5673 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 201312300 is about 14188.4565756815. The cubic root of 201312300 is about 586.0798230983.

Adding to 201312300 its reverse (3213102), we get a palindrome (204525402).

The spelling of 201312300 in words is "two hundred one million, three hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 25 28 30 34 35 42 50 51 60 68 70 75 84 85 100 102 105 119 140 150 170 175 204 210 238 255 300 340 350 357 420 425 476 510 525 595 700 714 850 1020 1050 1190 1275 1428 1700 1785 2100 2380 2550 2975 3570 5100 5639 5950 7140 8925 11278 11900 16917 17850 22556 28195 33834 35700 39473 56390 67668 78946 84585 95863 112780 118419 140975 157892 169170 191726 197365 236838 281950 287589 338340 383452 394730 422925 473676 479315 563900 575178 592095 671041 789460 845850 958630 986825 1150356 1184190 1342082 1437945 1691700 1917260 1973650 2013123 2368380 2396575 2684164 2875890 2960475 3355205 3947300 4026246 4793150 5751780 5920950 6710410 7189725 8052492 9586300 10065615 11841900 13420820 14379450 16776025 20131230 28758900 33552050 40262460 50328075 67104100 100656150 201312300