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3011131420 = 225116723049
BaseRepresentation
bin1011001101111010…
…0011100000011100
321202211222022202221
42303132203200130
522131322201140
61214442555124
7134422123543
oct26336434034
97684868687
103011131420
111305783670
12700508aa4
1338cab108b
14207ca315a
1512954214a
hexb37a381c

3011131420 has 72 divisors (see below), whose sum is σ = 7005020400. Its totient is φ = 1078260480.

The previous prime is 3011131397. The next prime is 3011131421. The reversal of 3011131420 is 241311103.

3011131420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×30111314202 = 18133824857022432800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3011131394 and 3011131403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3011131421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 986056 + ... + 989104.

It is an arithmetic number, because the mean of its divisors is an integer number (97291950).

Almost surely, 23011131420 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 3011131420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3502510200).

3011131420 is an abundant number, since it is smaller than the sum of its proper divisors (3993888980).

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

3011131420 is a wasteful number, since it uses less digits than its factorization.

3011131420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3203 (or 3134 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 3011131420 is about 54873.7771617737. Note that the first 3 decimals coincide. The cubic root of 3011131420 is about 1444.0311781084.

Adding to 3011131420 its reverse (241311103), we get a palindrome (3252442523).

It can be divided in two parts, 3011 and 131420, that added together give a palindrome (134431).

The spelling of 3011131420 in words is "three billion, eleven million, one hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 67 110 134 220 268 335 670 737 1340 1474 2948 3049 3685 4489 6098 7370 8978 12196 14740 15245 17956 22445 30490 33539 44890 49379 60980 67078 89780 98758 134156 167695 197516 204283 246895 335390 408566 493790 670780 817132 987580 1021415 2042830 2247113 4085660 4494226 8988452 11235565 13686961 22471130 27373922 44942260 54747844 68434805 136869610 150556571 273739220 301113142 602226284 752782855 1505565710 3011131420