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3123411030 = 23455965357
BaseRepresentation
bin1011101000101011…
…0111100001010110
322001200020201110000
42322022313201112
522344043123110
61233533312130
7140254361415
oct27212674126
98050221400
103123411030
1113630a1a33
12732035646
133aa133c0c
14218b6d47c
151343201c0
hexba2b7856

3123411030 has 80 divisors (see below), whose sum is σ = 8540983440. Its totient is φ = 818779968.

The previous prime is 3123411019. The next prime is 3123411043. The reversal of 3123411030 is 301143213.

3123411030 is a `hidden beast` number, since 312 + 341 + 10 + 3 + 0 = 666.

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 = 3123410994 and 3123411012.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 15112 + ... + 80468.

It is an arithmetic number, because the mean of its divisors is an integer number (106762293).

Almost surely, 23123411030 is an apocalyptic number.

3123411030 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 3123411030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4270491720).

3123411030 is an abundant number, since it is smaller than the sum of its proper divisors (5417572410).

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

3123411030 is a wasteful number, since it uses less digits than its factorization.

3123411030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65435 (or 65426 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3123411030 is about 55887.4854506803. The cubic root of 3123411030 is about 1461.7610310174.

Adding to 3123411030 its reverse (301143213), we get a palindrome (3424554243).

The spelling of 3123411030 in words is "three billion, one hundred twenty-three million, four hundred eleven thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 59 81 90 118 135 162 177 270 295 354 405 531 590 810 885 1062 1593 1770 2655 3186 4779 5310 7965 9558 15930 23895 47790 65357 130714 196071 326785 392142 588213 653570 980355 1176426 1764639 1960710 2941065 3529278 3856063 5293917 5882130 7712126 8823195 10587834 11568189 17646390 19280315 23136378 26469585 34704567 38560630 52939170 57840945 69409134 104113701 115681890 173522835 208227402 312341103 347045670 520568505 624682206 1041137010 1561705515 3123411030