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1313323140 = 2235372332539
BaseRepresentation
bin100111001000111…
…1011100010000100
310101112020201122210
41032101323202010
510142202320030
6334153023420
744355030303
oct11621734204
93345221583
101313323140
11614378128
123079b4b70
1317c1212ac
14c65cc43a
157a472bb0
hex4e47b884

1313323140 has 96 divisors (see below), whose sum is σ = 3794394240. Its totient is φ = 339158016.

The previous prime is 1313323133. The next prime is 1313323241. The reversal of 1313323140 is 413233131.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 515991 + ... + 518529.

It is an arithmetic number, because the mean of its divisors is an integer number (39524940).

Almost surely, 21313323140 is an apocalyptic number.

1313323140 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 1313323140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1897197120).

1313323140 is an abundant number, since it is smaller than the sum of its proper divisors (2481071100).

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

1313323140 is a wasteful number, since it uses less digits than its factorization.

1313323140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2821 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 1313323140 is about 36239.8004961396. The cubic root of 1313323140 is about 1095.1086233228.

Adding to 1313323140 its reverse (413233131), we get a palindrome (1726556271).

Subtracting from 1313323140 its reverse (413233131), we obtain a palindrome (900090009).

The spelling of 1313323140 in words is "one billion, three hundred thirteen million, three hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 233 370 444 466 555 699 740 932 1110 1165 1398 2220 2330 2539 2796 3495 4660 5078 6990 7617 8621 10156 12695 13980 15234 17242 25390 25863 30468 34484 38085 43105 50780 51726 76170 86210 93943 103452 129315 152340 172420 187886 258630 281829 375772 469715 517260 563658 591587 939430 1127316 1183174 1409145 1774761 1878860 2366348 2818290 2957935 3549522 5636580 5915870 7099044 8873805 11831740 17747610 21888719 35495220 43777438 65666157 87554876 109443595 131332314 218887190 262664628 328330785 437774380 656661570 1313323140