Search a number
-
+
303121304112 = 243111943276983
BaseRepresentation
bin1000110100100110111…
…00000000101000110000
31001222102001012201001010
410122103130000220300
514431243023212422
6351130233310520
730620425400334
oct4322334005060
91058361181033
10303121304112
1110760a08a280
124a8b6865440
13227796a5813
14109578c37c4
157d41714b0c
hex4693700a30

303121304112 has 160 divisors (see below), whose sum is σ = 899548139520. Its totient is φ = 86987900160.

The previous prime is 303121304111. The next prime is 303121304183. The reversal of 303121304112 is 211403121303.

It is not an unprimeable number, because it can be changed into a prime (303121304111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43404973 + ... + 43411955.

It is an arithmetic number, because the mean of its divisors is an integer number (5622175872).

Almost surely, 2303121304112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 303121304112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449774069760).

303121304112 is an abundant number, since it is smaller than the sum of its proper divisors (596426835408).

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

303121304112 is a wasteful number, since it uses less digits than its factorization.

303121304112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11351 (or 11345 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 303121304112 its reverse (211403121303), we get a palindrome (514524425415).

The spelling of 303121304112 in words is "three hundred three billion, one hundred twenty-one million, three hundred four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 132 152 176 209 228 264 304 418 456 528 627 836 912 1254 1672 2508 3344 4327 5016 6983 8654 10032 12981 13966 17308 20949 25962 27932 34616 41898 47597 51924 55864 69232 76813 82213 83796 95194 103848 111728 132677 142791 153626 164426 167592 190388 207696 230439 246639 265354 285582 307252 328852 335184 380776 398031 460878 493278 530708 571164 614504 657704 761552 796062 904343 921756 986556 1061416 1142328 1229008 1315408 1459447 1592124 1808686 1843512 1973112 2122832 2284656 2713029 2918894 3184248 3617372 3687024 3946224 4378341 5426058 5837788 6368496 7234744 8756682 10852116 11675576 14469488 17513364 21704232 23351152 30215441 35026728 43408464 60430882 70053456 90646323 120861764 181292646 241723528 332369851 362585292 483447056 574093379 664739702 725170584 997109553 1148186758 1329479404 1450341168 1722280137 1994219106 2296373516 2658958808 3444560274 3988438212 4592747032 5317917616 6315027169 6889120548 7976876424 9185494064 12630054338 13778241096 15953752848 18945081507 25260108676 27556482192 37890163014 50520217352 75780326028 101040434704 151560652056 303121304112