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31143112112 = 247893319439
BaseRepresentation
bin11101000000010001…
…100010110110110000
32222101102021000101202
4131000101202312300
51002240114041422
622150144550332
72151520041140
oct350021426660
988342230352
1031143112112
1112231525092
1260519223a8
132c2415bcb8
1417161aa920
15c24178b92
hex740462db0

31143112112 has 80 divisors (see below), whose sum is σ = 69952665600. Its totient is φ = 13155816960.

The previous prime is 31143112057. The next prime is 31143112159. The reversal of 31143112112 is 21121134113.

It is a super-2 number, since 2×311431121122 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3294689 + ... + 3304127.

It is an arithmetic number, because the mean of its divisors is an integer number (874408320).

Almost surely, 231143112112 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 31143112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34976332800).

31143112112 is an abundant number, since it is smaller than the sum of its proper divisors (38809553488).

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

31143112112 is a wasteful number, since it uses less digits than its factorization.

31143112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9874 (or 9868 counting only the distinct ones).

The product of its digits is 144, while the sum is 20.

Adding to 31143112112 its reverse (21121134113), we get a palindrome (52264246225).

The spelling of 31143112112 in words is "thirty-one billion, one hundred forty-three million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 56 89 112 178 331 356 623 662 712 1246 1324 1424 2317 2492 2648 4634 4984 5296 9268 9439 9968 18536 18878 29459 37072 37756 58918 66073 75512 117836 132146 151024 206213 235672 264292 412426 471344 528584 824852 840071 1057168 1649704 1680142 3124309 3299408 3360284 5880497 6248618 6720568 11760994 12497236 13441136 21870163 23521988 24994472 43740326 47043976 49988944 87480652 94087952 174961304 278063501 349922608 556127002 1112254004 1946444507 2224508008 3892889014 4449016016 7785778028 15571556056 31143112112