Search a number
-
+
3133011112 = 23711371011361
BaseRepresentation
bin1011101010111101…
…1111010010101000
322002100022110021121
42322233133102220
522404022323422
61234515145024
7140432104120
oct27257372250
98070273247
103133011112
111368559690
127352a5174
133ac11573a
1421a14bc80
151350b98c7
hexbabdf4a8

3133011112 has 128 divisors (see below), whose sum is σ = 7601921280. Its totient is φ = 1175040000.

The previous prime is 3133011067. The next prime is 3133011121. The reversal of 3133011112 is 2111103313.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2301312 + ... + 2302672.

It is an arithmetic number, because the mean of its divisors is an integer number (59390010).

Almost surely, 23133011112 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 3133011112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3800960640).

3133011112 is an abundant number, since it is smaller than the sum of its proper divisors (4468910168).

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

3133011112 is a wasteful number, since it uses less digits than its factorization.

3133011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 3133011112 is about 55973.3071383137. The cubic root of 3133011112 is about 1463.2571168539.

Adding to 3133011112 its reverse (2111103313), we get a palindrome (5244114425).

It can be divided in two parts, 313301 and 1112, that added together give a palindrome (314413).

The spelling of 3133011112 in words is "three billion, one hundred thirty-three million, eleven thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 22 28 37 44 56 74 77 88 101 148 154 202 259 296 308 404 407 518 616 707 808 814 1036 1111 1361 1414 1628 2072 2222 2722 2828 2849 3256 3737 4444 5444 5656 5698 7474 7777 8888 9527 10888 11396 14948 14971 15554 19054 22792 26159 29896 29942 31108 38108 41107 50357 52318 59884 62216 76216 82214 100714 104636 104797 119768 137461 164428 201428 209272 209594 274922 287749 328856 352499 402856 419188 549844 553927 575498 704998 838376 962227 1099688 1107854 1150996 1409996 1512071 1924454 2215708 2301992 2819992 3024142 3848908 3877489 4431416 5086057 6048284 7697816 7754978 10172114 10584497 12096568 15509956 20344228 21168994 31019912 35602399 40688456 42337988 55946627 71204798 84675976 111893254 142409596 223786508 284819192 391626389 447573016 783252778 1566505556 3133011112