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1311242020 = 2251115737963
BaseRepresentation
bin100111000100111…
…1111011100100100
310101101022222220021
41032021333130210
510141134221040
6334040244524
744331242014
oct11611773444
93341288807
101311242020
116131865a0
12307170744
1317b872c6a
14c6209c44
157a1b124a
hex4e27f724

1311242020 has 48 divisors (see below), whose sum is σ = 3023149248. Its totient is φ = 473765760.

The previous prime is 1311242017. The next prime is 1311242027. The reversal of 1311242020 is 202421131.

It is a junction number, because it is equal to n+sod(n) for n = 1311241985 and 1311242003.

It is not an unprimeable number, because it can be changed into a prime (1311242027) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 15559 + ... + 53521.

It is an arithmetic number, because the mean of its divisors is an integer number (62982276).

Almost surely, 21311242020 is an apocalyptic number.

1311242020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311242020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511574624).

1311242020 is an abundant number, since it is smaller than the sum of its proper divisors (1711907228).

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

1311242020 is a wasteful number, since it uses less digits than its factorization.

1311242020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38140 (or 38138 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1311242020 is about 36211.0759298864. The cubic root of 1311242020 is about 1094.5298733154.

Adding to 1311242020 its reverse (202421131), we get a palindrome (1513663151).

The spelling of 1311242020 in words is "one billion, three hundred eleven million, two hundred forty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 157 220 314 628 785 1570 1727 3140 3454 6908 8635 17270 34540 37963 75926 151852 189815 379630 417593 759260 835186 1670372 2087965 4175930 5960191 8351860 11920382 23840764 29800955 59601910 65562101 119203820 131124202 262248404 327810505 655621010 1311242020