Search a number
-
+
2031010320 = 2435194191063
BaseRepresentation
bin111100100001110…
…1100001000010000
312020112201000101110
41321003230020100
513124414312240
6533311333320
7101221205613
oct17103541020
95215630343
102031010320
119524a8129
12488221240
13264a14171
14153a4c17a
15bd48ac80
hex790ec210

2031010320 has 160 divisors (see below), whose sum is σ = 6649574400. Its totient is φ = 511391232.

The previous prime is 2031010283. The next prime is 2031010343. The reversal of 2031010320 is 230101302.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 2031010296 and 2031010305.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1910109 + ... + 1911171.

It is an arithmetic number, because the mean of its divisors is an integer number (41559840).

Almost surely, 22031010320 is an apocalyptic number.

2031010320 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 2031010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3324787200).

2031010320 is an abundant number, since it is smaller than the sum of its proper divisors (4618564080).

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

2031010320 is a wasteful number, since it uses less digits than its factorization.

2031010320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517 (or 1511 counting only the distinct ones).

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

The square root of 2031010320 is about 45066.7318539962. The cubic root of 2031010320 is about 1266.3994407039.

Adding to 2031010320 its reverse (230101302), we get a palindrome (2261111622).

The spelling of 2031010320 in words is "two billion, thirty-one million, ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 419 456 570 760 838 912 1063 1140 1257 1520 1676 2095 2126 2280 2514 3189 3352 4190 4252 4560 5028 5315 6285 6378 6704 7961 8380 8504 10056 10630 12570 12756 15922 15945 16760 17008 20112 20197 21260 23883 25140 25512 31844 31890 33520 39805 40394 42520 47766 50280 51024 60591 63688 63780 79610 80788 85040 95532 100560 100985 119415 121182 127376 127560 159220 161576 191064 201970 238830 242364 255120 302955 318440 323152 382128 403940 445397 477660 484728 605910 636880 807880 890794 955320 969456 1211820 1336191 1615760 1781588 1910640 2226985 2423640 2672382 3563176 4453970 4847280 5344764 6680955 7126352 8462543 8907940 10689528 13361910 16925086 17815880 21379056 25387629 26723820 33850172 35631760 42312715 50775258 53447640 67700344 84625430 101550516 106895280 126938145 135400688 169250860 203101032 253876290 338501720 406202064 507752580 677003440 1015505160 2031010320