Search a number
-
+
3112103120 = 245747317373
BaseRepresentation
bin1011100101111110…
…1110110011010000
322000212222012220112
42321133232303100
522333144244440
61232451100452
7140056303640
oct27137566320
98025865815
103112103120
111357779155
1272a2a1728
133a79a4c49
14217468520
15133339965
hexb97eecd0

3112103120 has 160 divisors (see below), whose sum is σ = 8494599168. Its totient is φ = 1038219264.

The previous prime is 3112103107. The next prime is 3112103153. The reversal of 3112103120 is 213012113.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 3112103095 and 3112103104.

It is a congruent number.

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, 8343254 + ... + 8343626.

Almost surely, 23112103120 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 3112103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4247299584).

3112103120 is an abundant number, since it is smaller than the sum of its proper divisors (5382496048).

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

3112103120 is a wasteful number, since it uses less digits than its factorization.

3112103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 3112103120 is about 55786.2269740480. The cubic root of 3112103120 is about 1459.9948583043.

Adding to 3112103120 its reverse (213012113), we get a palindrome (3325115233).

The spelling of 3112103120 in words is "three billion, one hundred twelve million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 47 56 70 80 94 112 140 188 235 280 317 329 373 376 470 560 634 658 746 752 940 1268 1316 1492 1585 1645 1865 1880 2219 2536 2611 2632 2984 3170 3290 3730 3760 4438 5072 5222 5264 5968 6340 6580 7460 8876 10444 11095 12680 13055 13160 14899 14920 17531 17752 20888 22190 25360 26110 26320 29798 29840 35062 35504 41776 44380 52220 59596 70124 74495 87655 88760 104293 104440 118241 119192 122717 140248 148990 175310 177520 208586 208880 236482 238384 245434 280496 297980 350620 417172 472964 490868 521465 591205 595960 613585 701240 827687 834344 945928 981736 1042930 1182410 1191920 1227170 1402480 1655374 1668688 1891856 1963472 2085860 2364820 2454340 3310748 4138435 4171720 4729640 4908680 5557327 6621496 8276870 8343440 9459280 9817360 11114654 13242992 16553740 22229308 27786635 33107480 38901289 44458616 55573270 66214960 77802578 88917232 111146540 155605156 194506445 222293080 311210312 389012890 444586160 622420624 778025780 1556051560 3112103120