Search a number
-
+
1000302221310 = 235763120533677
BaseRepresentation
bin11101000111001101010…
…10001001011111111110
310112121221210002212011220
432203212222021133332
5112342104332040220
62043311004054210
7132161264406510
oct16434652113776
93477853085156
101000302221310
11356253587277
12141a47234366
1373435a93712
14365b4637bb0
151b048063540
hexe8e6a897fe

1000302221310 has 128 divisors (see below), whose sum is σ = 2750120515584. Its totient is φ = 228104916480.

The previous prime is 1000302221263. The next prime is 1000302221333. The reversal of 1000302221310 is 131222030001.

It is a super-2 number, since 2×10003022213102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1000302221310.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 272041192 + ... + 272044868.

It is an arithmetic number, because the mean of its divisors is an integer number (21485316528).

Almost surely, 21000302221310 is an apocalyptic number.

1000302221310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1000302221310 is an abundant number, since it is smaller than the sum of its proper divisors (1749818294274).

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

1000302221310 is a wasteful number, since it uses less digits than its factorization.

1000302221310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6378.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1000302221310 its reverse (131222030001), we get a palindrome (1131524251311).

The spelling of 1000302221310 in words is "one trillion, three hundred two million, two hundred twenty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 631 1262 1893 2053 3155 3677 3786 4106 4417 6159 6310 7354 8834 9465 10265 11031 12318 13251 14371 18385 18930 20530 22062 22085 25739 26502 28742 30795 36770 43113 44170 51478 55155 61590 66255 71855 77217 86226 110310 128695 132510 143710 154434 215565 257390 386085 431130 772170 1295443 2320187 2590886 3886329 4640374 6477215 6960561 7548881 7772658 9068101 11600935 12954430 13921122 15097762 16241309 18136202 19431645 22646643 23201870 27204303 32482618 34802805 37744405 38863290 45293286 45340505 48723927 52842167 54408606 69605610 75488810 81206545 90681010 97447854 105684334 113233215 136021515 158526501 162413090 226466430 243619635 264210835 272043030 317053002 487239270 528421670 792632505 1585265010 4763343911 9526687822 14290031733 23816719555 28580063466 33343407377 47633439110 66686814754 71450158665 100030222131 142900317330 166717036885 200060444262 333434073770 500151110655 1000302221310