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4113134020 = 22517671031753
BaseRepresentation
bin1111010100101001…
…0111000111000100
3101121122120212011001
43311022113013010
531410430242040
61520050423044
7203633030242
oct36512270704
911548525131
104113134020
111820836516
12969591a84
135071b3418
142b03a3792
1519117159a
hexf52971c4

4113134020 has 96 divisors (see below), whose sum is σ = 9377641728. Its totient is φ = 1509691392.

The previous prime is 4113133979. The next prime is 4113134029. The reversal of 4113134020 is 204313114.

4113134020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4113134029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2345464 + ... + 2347216.

It is an arithmetic number, because the mean of its divisors is an integer number (97683768).

Almost surely, 24113134020 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 4113134020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4688820864).

4113134020 is an abundant number, since it is smaller than the sum of its proper divisors (5264507708).

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

4113134020 is a wasteful number, since it uses less digits than its factorization.

4113134020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1949 (or 1947 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 4113134020 is about 64133.7198359802. The cubic root of 4113134020 is about 1602.2278885680.

Adding to 4113134020 its reverse (204313114), we get a palindrome (4317447134).

The spelling of 4113134020 in words is "four billion, one hundred thirteen million, one hundred thirty-four thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 67 68 85 103 134 170 206 268 335 340 412 515 670 1030 1139 1340 1751 1753 2060 2278 3502 3506 4556 5695 6901 7004 7012 8755 8765 11390 13802 17510 17530 22780 27604 29801 34505 35020 35060 59602 69010 117317 117451 119204 138020 149005 180559 234634 234902 298010 361118 469268 469804 586585 587255 596020 722236 902795 1173170 1174510 1805590 1996667 2346340 2349020 3069503 3611180 3993334 6139006 7986668 9983335 12097453 12278012 15347515 19966670 24194906 30695030 39933340 48389812 60487265 61390060 120974530 205656701 241949060 411313402 822626804 1028283505 2056567010 4113134020