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3213132330 = 235312591889
BaseRepresentation
bin1011111110000100…
…1000001000101010
322021221002000221010
42333201020020222
523040030213310
61250500324350
7142424113512
oct27741101052
98257060833
103213132330
1113a9802971
127580a36b6
133c28b9045
14226a46842
1513c144320
hexbf84822a

3213132330 has 96 divisors (see below), whose sum is σ = 8107646400. Its totient is φ = 814709760.

The previous prime is 3213132289. The next prime is 3213132337. The reversal of 3213132330 is 332313123.

It is a junction number, because it is equal to n+sod(n) for n = 3213132297 and 3213132306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3213132337) 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, 1700026 + ... + 1701914.

It is an arithmetic number, because the mean of its divisors is an integer number (84454650).

Almost surely, 23213132330 is an apocalyptic number.

3213132330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3213132330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4053823200).

3213132330 is an abundant number, since it is smaller than the sum of its proper divisors (4894514070).

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

3213132330 is a wasteful number, since it uses less digits than its factorization.

3213132330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2020 (or 1989 counting only the distinct ones).

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

The square root of 3213132330 is about 56684.4981454366. The cubic root of 3213132330 is about 1475.6256780599.

Adding to 3213132330 its reverse (332313123), we get a palindrome (3545445453).

The spelling of 3213132330 in words is "three billion, two hundred thirteen million, one hundred thirty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 59 62 93 118 155 177 186 295 310 354 465 590 885 930 961 1770 1829 1889 1922 2883 3658 3778 4805 5487 5667 5766 9145 9445 9610 10974 11334 14415 18290 18890 27435 28335 28830 54870 56670 56699 58559 111451 113398 117118 170097 175677 222902 283495 292795 334353 340194 351354 557255 566990 585590 668706 850485 878385 1114510 1671765 1700970 1756770 1815329 3343530 3454981 3630658 5445987 6909962 9076645 10364943 10891974 17274905 18153290 20729886 27229935 34549810 51824715 54459870 103649430 107104411 214208822 321313233 535522055 642626466 1071044110 1606566165 3213132330