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3110113122012 = 22321367728313619
BaseRepresentation
bin101101010000100001001…
…100000001011011011100
3102000022202010112110001100
4231100201030001123130
5401424002424401022
610340433301513100
7440461334231241
oct55204114013334
912008663473040
103110113122012
11a99a9a860056
12422916712790
131973895b61c0
14aa75d1255c8
1555d7b7341ac
hex2d4213016dc

3110113122012 has 144 divisors (see below), whose sum is σ = 8594594386560. Its totient is φ = 942476287104.

The previous prime is 3110113122007. The next prime is 3110113122047. The reversal of 3110113122012 is 2102213110113.

3110113122012 is a `hidden beast` number, since 311 + 0 + 1 + 131 + 220 + 1 + 2 = 666.

It is a super-2 number, since 2×31101131220122 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228358939 + ... + 228372557.

It is an arithmetic number, because the mean of its divisors is an integer number (59684683240).

Almost surely, 23110113122012 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 3110113122012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4297297193280).

3110113122012 is an abundant number, since it is smaller than the sum of its proper divisors (5484481264548).

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

3110113122012 is a wasteful number, since it uses less digits than its factorization.

3110113122012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20992 (or 20987 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 3110113122012 its reverse (2102213110113), we get a palindrome (5212326232125).

The spelling of 3110113122012 in words is "three trillion, one hundred ten billion, one hundred thirteen million, one hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 67 78 117 134 156 201 234 268 402 468 603 804 871 1206 1742 2412 2613 3484 5226 7283 7839 10452 13619 14566 15678 21849 27238 29132 31356 40857 43698 54476 65547 81714 87396 94679 122571 131094 163428 177047 189358 245142 262188 284037 354094 378716 487961 490284 531141 568074 708188 852111 912473 975922 1062282 1136148 1463883 1593423 1704222 1824946 1951844 2124564 2737419 2927766 3186846 3408444 3649892 4391649 5474838 5855532 6343493 6373692 8212257 8783298 10949676 11862149 12686986 16424514 17566596 19030479 23724298 25373972 32849028 35586447 38060958 47448596 57091437 71172894 76121916 99187177 106759341 114182874 142345788 198374354 213518682 228365748 297561531 396748708 427037364 595123062 892684593 1190246124 1289433301 1785369186 2578866602 3570738372 3868299903 5157733204 6645540859 7736599806 11604899709 13291081718 15473199612 19936622577 23209799418 26582163436 39873245154 46419598836 59809867731 79746490308 86392031167 119619735462 172784062334 239239470924 259176093501 345568124668 518352187002 777528280503 1036704374004 1555056561006 3110113122012