Search a number
-
+
3112310123300 = 2252767439151163
BaseRepresentation
bin101101010010100100001…
…000111010101100100100
3102000112102020120200020102
4231102210020322230210
5401443002342421200
610341435303123232
7440566642360640
oct55224410725444
912015366520212
103112310123300
11a9aa17a216a4
1242322a443518
13197649807971
14aa8cac21c20
1555e5955c6d5
hex2d4a423ab24

3112310123300 has 144 divisors (see below), whose sum is σ = 7851627463680. Its totient is φ = 1048749863040.

The previous prime is 3112310123269. The next prime is 3112310123311. The reversal of 3112310123300 is 33210132113.

It is a super-2 number, since 2×31123101233002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20513519 + ... + 20664681.

It is an arithmetic number, because the mean of its divisors is an integer number (54525190720).

Almost surely, 23112310123300 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 3112310123300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3925813731840).

3112310123300 is an abundant number, since it is smaller than the sum of its proper divisors (4739317340380).

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

3112310123300 is a wasteful number, since it uses less digits than its factorization.

3112310123300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151690 (or 151683 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 3112310123300 its reverse (33210132113), we get a palindrome (3145520255413).

The spelling of 3112310123300 in words is "three trillion, one hundred twelve billion, three hundred ten million, one hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 67 70 100 134 140 175 268 335 350 439 469 670 700 878 938 1340 1675 1756 1876 2195 2345 3073 3350 4390 4690 6146 6700 8780 9380 10975 11725 12292 15365 21950 23450 29413 30730 43900 46900 58826 61460 76825 117652 147065 151163 153650 205891 294130 302326 307300 411782 588260 604652 735325 755815 823564 1029455 1058141 1470650 1511630 2058910 2116282 2941300 3023260 3779075 4117820 4232564 5147275 5290705 7558150 10127921 10294550 10581410 15116300 20255842 20589100 21162820 26453525 40511684 50639605 52907050 66360557 70895447 101279210 105814100 132721114 141790894 202558420 253198025 265442228 283581788 331802785 354477235 464523899 506396050 663605570 708954470 929047798 1012792100 1327211140 1417908940 1659013925 1772386175 1858095596 2322619495 3318027850 3544772350 4446157319 4645238990 6636055700 7089544700 8892314638 9290477980 11613097475 17784629276 22230786595 23226194950 31123101233 44461573190 46452389900 62246202466 88923146380 111153932975 124492404932 155615506165 222307865950 311231012330 444615731900 622462024660 778077530825 1556155061650 3112310123300