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3023113332 = 22317197731009
BaseRepresentation
bin1011010000110001…
…0000110001110100
321210200112001212110
42310030100301310
522142404111312
61215551451020
7134626016331
oct26414206164
97720461773
103023113332
111311517878
12704526a70
13392417a75
14209701988
1512a60c43c
hexb4310c74

3023113332 has 96 divisors (see below), whose sum is σ = 7879939200. Its totient is φ = 896458752.

The previous prime is 3023113319. The next prime is 3023113369. The reversal of 3023113332 is 2333113203.

It is a super-2 number, since 2×30231133322 = 18278428436232284448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3023113299 and 3023113308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2995644 + ... + 2996652.

It is an arithmetic number, because the mean of its divisors is an integer number (82082700).

Almost surely, 23023113332 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 3023113332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3939969600).

3023113332 is an abundant number, since it is smaller than the sum of its proper divisors (4856825868).

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

3023113332 is a wasteful number, since it uses less digits than its factorization.

3023113332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

The square root of 3023113332 is about 54982.8457975758. The cubic root of 3023113332 is about 1445.9440089735.

Adding to 3023113332 its reverse (2333113203), we get a palindrome (5356226535).

The spelling of 3023113332 in words is "three billion, twenty-three million, one hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 204 228 323 646 773 969 1009 1292 1546 1938 2018 2319 3027 3092 3876 4036 4638 6054 9276 12108 13141 14687 17153 19171 26282 29374 34306 38342 39423 44061 51459 52564 57513 58748 68612 76684 78846 88122 102918 115026 157692 176244 205836 230052 249679 325907 499358 651814 749037 779957 977721 998716 1303628 1498074 1559914 1955442 2339871 2996148 3119828 3910884 4679742 9359484 13259269 14819183 26518538 29638366 39777807 44457549 53037076 59276732 79555614 88915098 159111228 177830196 251926111 503852222 755778333 1007704444 1511556666 3023113332