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1311442104 = 23373128123
BaseRepresentation
bin100111000101011…
…0000010010111000
310101101201011100210
41032022300102320
510141212121404
6334044431120
744333034240
oct11612602270
93341634323
101311442104
11613302955
123072484a0
1317b91305b
14c625cb20
157a200689
hex4e2b04b8

1311442104 has 96 divisors (see below), whose sum is σ = 3872223360. Its totient is φ = 362566080.

The previous prime is 1311442103. The next prime is 1311442109. The reversal of 1311442104 is 4012441131.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311442103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157387 + ... + 165509.

It is an arithmetic number, because the mean of its divisors is an integer number (40335660).

Almost surely, 21311442104 is an apocalyptic number.

1311442104 is a gapful number since it is divisible by the number (14) 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 1311442104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1936111680).

1311442104 is an abundant number, since it is smaller than the sum of its proper divisors (2560781256).

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

1311442104 is a wasteful number, since it uses less digits than its factorization.

1311442104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8201 (or 8166 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1311442104 is about 36213.8385703587. The cubic root of 1311442104 is about 1094.5855423615.

Adding to 1311442104 its reverse (4012441131), we get a palindrome (5323883235).

The spelling of 1311442104 in words is "one billion, three hundred eleven million, four hundred forty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 868 961 1302 1736 1922 2604 2883 3844 5208 5766 6727 7688 8123 11532 13454 16246 20181 23064 24369 26908 32492 40362 48738 53816 56861 64984 80724 97476 113722 161448 170583 194952 227444 251813 341166 454888 503626 682332 755439 1007252 1364664 1510878 1762691 2014504 3021756 3525382 5288073 6043512 7050764 7806203 10576146 14101528 15612406 21152292 23418609 31224812 42304584 46837218 54643421 62449624 93674436 109286842 163930263 187348872 218573684 327860526 437147368 655721052 1311442104