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3133423332 = 2233133171993
BaseRepresentation
bin1011101011000100…
…0011111011100100
322002101002101202000
42322301003323210
522404124021312
61234532045300
7140435441664
oct27261037344
98071071660
103133423332
111368810366
12735463830
133ac22b260
1421a2181a4
1513514badc
hexbac43ee4

3133423332 has 96 divisors (see below), whose sum is σ = 9030927360. Its totient is φ = 933016320.

The previous prime is 3133423297. The next prime is 3133423367. The reversal of 3133423332 is 2333243313.

It is a happy number.

3133423332 is a `hidden beast` number, since 313 + 342 + 3 + 3 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (3133423297) and next prime (3133423367).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3133423296 and 3133423305.

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 31 ways as a sum of consecutive naturals, for example, 7528 + ... + 79520.

It is an arithmetic number, because the mean of its divisors is an integer number (94072160).

Almost surely, 23133423332 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 3133423332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4515463680).

3133423332 is an abundant number, since it is smaller than the sum of its proper divisors (5897504028).

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

3133423332 is a wasteful number, since it uses less digits than its factorization.

3133423332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72050 (or 72042 counting only the distinct ones).

The product of its digits is 11664, while the sum is 27.

The square root of 3133423332 is about 55976.9893081077. The cubic root of 3133423332 is about 1463.3212891336.

Adding to 3133423332 its reverse (2333243313), we get a palindrome (5466666645).

The spelling of 3133423332 in words is "three billion, one hundred thirty-three million, four hundred twenty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 31 36 39 52 54 62 78 93 108 117 124 156 186 234 279 351 372 403 468 558 702 806 837 1116 1209 1404 1612 1674 2418 3348 3627 4836 7254 10881 14508 21762 43524 71993 143986 215979 287972 431958 647937 863916 935909 1295874 1871818 1943811 2231783 2591748 2807727 3743636 3887622 4463566 5615454 6695349 7775244 8423181 8927132 11230908 13390698 16846362 20086047 25269543 26781396 29013179 33692724 40172094 50539086 58026358 60258141 80344188 87039537 101078172 116052716 120516282 174079074 241032564 261118611 348158148 522237222 783355833 1044474444 1566711666 3133423332