Search a number
-
+
2031210300 = 2235271735591
BaseRepresentation
bin111100100010001…
…1100111100111100
312020120002011201010
41321010130330330
513124442212200
6533315515220
7101223000630
oct17104347474
95216064633
102031210300
119526243a9
124882b8b10
13264a841b2
14153aa0dc0
15bd4ca150
hex7911cf3c

2031210300 has 144 divisors (see below), whose sum is σ = 6756567552. Its totient is φ = 461510400.

The previous prime is 2031210289. The next prime is 2031210323. The reversal of 2031210300 is 30121302.

It is a happy number.

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

It is a congruent number.

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, 360505 + ... + 366095.

It is an arithmetic number, because the mean of its divisors is an integer number (46920608).

Almost surely, 22031210300 is an apocalyptic number.

2031210300 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 2031210300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3378283776).

2031210300 is an abundant number, since it is smaller than the sum of its proper divisors (4725357252).

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

2031210300 is a wasteful number, since it uses less digits than its factorization.

2031210300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5788 (or 5781 counting only the distinct ones).

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

The square root of 2031210300 is about 45068.9505091920. The cubic root of 2031210300 is about 1266.4410039669.

Adding to 2031210300 its reverse (30121302), we get a palindrome (2061331602).

The spelling of 2031210300 in words is "two billion, thirty-one million, two hundred ten 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 84 100 105 140 150 173 175 210 300 346 350 420 519 525 692 700 865 1038 1050 1211 1730 2076 2100 2422 2595 3460 3633 4325 4844 5190 5591 6055 7266 8650 10380 11182 12110 12975 14532 16773 17300 18165 22364 24220 25950 27955 30275 33546 36330 39137 51900 55910 60550 67092 72660 78274 83865 90825 111820 117411 121100 139775 156548 167730 181650 195685 234822 279550 335460 363300 391370 419325 469644 559100 587055 782740 838650 967243 978425 1174110 1677300 1934486 1956850 2348220 2901729 2935275 3868972 3913700 4836215 5803458 5870550 6770701 9672430 11606916 11741100 13541402 14508645 19344860 20312103 24181075 27082804 29017290 33853505 40624206 48362150 58034580 67707010 72543225 81248412 96724300 101560515 135414020 145086450 169267525 203121030 290172900 338535050 406242060 507802575 677070100 1015605150 2031210300