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3111023124 = 22321189103857
BaseRepresentation
bin1011100101101110…
…0111001000010100
322000210221100102200
42321123213020110
522332410214444
61232412004500
7140044155156
oct27133471024
98023840380
103111023124
1113571007a0
12729a60730
133a76b74b1
14217266ad6
151331c4969
hexb96e7214

3111023124 has 144 divisors (see below), whose sum is σ = 8769720960. Its totient is φ = 922014720.

The previous prime is 3111023099. The next prime is 3111023129. The reversal of 3111023124 is 4213201113.

3111023124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 3111023097 and 3111023106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3111023129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3629704 + ... + 3630560.

It is an arithmetic number, because the mean of its divisors is an integer number (60900840).

Almost surely, 23111023124 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 3111023124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4384860480).

3111023124 is an abundant number, since it is smaller than the sum of its proper divisors (5658697836).

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

3111023124 is a wasteful number, since it uses less digits than its factorization.

3111023124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 3111023124 is about 55776.5463613516. The cubic root of 3111023124 is about 1459.8259509792.

Adding to 3111023124 its reverse (4213201113), we get a palindrome (7324224237).

The spelling of 3111023124 in words is "three billion, one hundred eleven million, twenty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 89 99 103 132 178 198 206 267 309 356 396 412 534 618 801 857 927 979 1068 1133 1236 1602 1714 1854 1958 2266 2571 2937 3204 3399 3428 3708 3916 4532 5142 5874 6798 7713 8811 9167 9427 10197 10284 11748 13596 15426 17622 18334 18854 20394 27501 28281 30852 35244 36668 37708 40788 55002 56562 76273 82503 84843 88271 100837 110004 113124 152546 165006 169686 176542 201674 228819 264813 302511 305092 330012 339372 353084 403348 457638 529626 605022 686457 794439 839003 907533 915276 970981 1059252 1210044 1372914 1588878 1678006 1815066 1941962 2517009 2745828 2912943 3177756 3356012 3630132 3883924 5034018 5825886 7551027 7856119 8738829 10068036 11651772 15102054 15712238 17477658 23568357 30204108 31424476 34955316 47136714 70705071 86417309 94273428 141410142 172834618 259251927 282820284 345669236 518503854 777755781 1037007708 1555511562 3111023124