Search a number
-
+
3112121112 = 2331939717191
BaseRepresentation
bin1011100101111111…
…0011001100011000
322000220000010120220
42321133303030120
522333200333422
61232451320040
7140056410252
oct27137631430
98026003526
103112121112
111357790721
1272a2b0020
133a79b01a9
14217470cd2
1513333ee5c
hexb97f3318

3112121112 has 64 divisors (see below), whose sum is σ = 8210899200. Its totient is φ = 980242560.

The previous prime is 3112121107. The next prime is 3112121141. The reversal of 3112121112 is 2111212113.

It is a super-2 number, since 2×31121211122 = 19370595631512233088, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3112121091 and 3112121100.

It is a congruent number.

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, 172437 + ... + 189627.

It is an arithmetic number, because the mean of its divisors is an integer number (128295300).

Almost surely, 23112121112 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 3112121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4105449600).

3112121112 is an abundant number, since it is smaller than the sum of its proper divisors (5098778088).

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

3112121112 is a wasteful number, since it uses less digits than its factorization.

3112121112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17616 (or 17612 counting only the distinct ones).

The product of its digits is 24, while the sum is 15.

The square root of 3112121112 is about 55786.3882322561. The cubic root of 3112121112 is about 1459.9976718547.

Adding to 3112121112 its reverse (2111212113), we get a palindrome (5223333225).

It can be divided in two parts, 311212111 and 2, that added together give a palindrome (311212113).

The spelling of 3112121112 in words is "three billion, one hundred twelve million, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 397 456 794 1191 1588 2382 3176 4764 7543 9528 15086 17191 22629 30172 34382 45258 51573 60344 68764 90516 103146 137528 181032 206292 326629 412584 653258 979887 1306516 1959774 2613032 3919548 6824827 7839096 13649654 20474481 27299308 40948962 54598616 81897924 129671713 163795848 259343426 389015139 518686852 778030278 1037373704 1556060556 3112121112