Search a number
-
+
201031200300 = 223527103392671
BaseRepresentation
bin1011101100111001100…
…1001010111000101100
3201012220012200002101010
42323032121022320230
511243202441402200
6232204044145220
720344512002610
oct2731631127054
9635805602333
10201031200300
1178290965257
1232b64b38210
1315c59b61778
149a31031340
155368c6a150
hex2ece64ae2c

201031200300 has 144 divisors (see below), whose sum is σ = 665393856512. Its totient is φ = 45905011200.

The previous prime is 201031200263. The next prime is 201031200301. The reversal of 201031200300 is 3002130102.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (201031200301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2122965 + ... + 2215635.

Almost surely, 2201031200300 is an apocalyptic number.

201031200300 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 201031200300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332696928256).

201031200300 is an abundant number, since it is smaller than the sum of its proper divisors (464362656212).

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

201031200300 is a wasteful number, since it uses less digits than its factorization.

201031200300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93728 (or 93721 counting only the distinct ones).

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

Adding to 201031200300 its reverse (3002130102), we get a palindrome (204033330402).

The spelling of 201031200300 in words is "two hundred one billion, thirty-one million, two hundred thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1033 1050 2066 2100 3099 4132 5165 6198 7231 10330 12396 14462 15495 20660 21693 25825 28924 30990 36155 43386 51650 61980 72310 77475 86772 92671 103300 108465 144620 154950 180775 185342 216930 278013 309900 361550 370684 433860 463355 542325 556026 648697 723100 926710 1084650 1112052 1297394 1390065 1853420 1946091 2169300 2316775 2594788 2780130 3243485 3892182 4633550 5560260 6486970 6950325 7784364 9267100 9730455 12973940 13900650 16217425 19460910 27801300 32434850 38921820 48652275 64869700 95729143 97304550 191458286 194609100 287187429 382916572 478645715 574374858 670104001 957291430 1148749716 1340208002 1435937145 1914582860 2010312003 2393228575 2680416004 2871874290 3350520005 4020624006 4786457150 5743748580 6701040010 7179685725 8041248012 9572914300 10051560015 13402080020 14359371450 16752600025 20103120030 28718742900 33505200050 40206240060 50257800075 67010400100 100515600150 201031200300