Search a number
-
+
1310321320 = 2357111922391
BaseRepresentation
bin100111000011001…
…1110101010101000
310101022121012221021
41032012132222220
510140420240240
6334004422224
744320355530
oct11606365250
93338535837
101310321320
11612707890
123069a7974
1317b60cb79
14c604a4c0
157a07d54a
hex4e19eaa8

1310321320 has 128 divisors (see below), whose sum is σ = 3869337600. Its totient is φ = 386899200.

The previous prime is 1310321281. The next prime is 1310321323. The reversal of 1310321320 is 231230131.

It is a junction number, because it is equal to n+sod(n) for n = 1310321294 and 1310321303.

It is not an unprimeable number, because it can be changed into a prime (1310321323) 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, 47325 + ... + 69715.

It is an arithmetic number, because the mean of its divisors is an integer number (30229200).

Almost surely, 21310321320 is an apocalyptic number.

1310321320 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 1310321320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934668800).

1310321320 is an abundant number, since it is smaller than the sum of its proper divisors (2559016280).

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

1310321320 is a wasteful number, since it uses less digits than its factorization.

1310321320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22439 (or 22435 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1310321320 is about 36198.3607363648. The cubic root of 1310321320 is about 1094.2736354397.

Adding to 1310321320 its reverse (231230131), we get a palindrome (1541551451).

The spelling of 1310321320 in words is "one billion, three hundred ten million, three hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 19 20 22 28 35 38 40 44 55 56 70 76 77 88 95 110 133 140 152 154 190 209 220 266 280 308 380 385 418 440 532 616 665 760 770 836 1045 1064 1330 1463 1540 1672 2090 2660 2926 3080 4180 5320 5852 7315 8360 11704 14630 22391 29260 44782 58520 89564 111955 156737 179128 223910 246301 313474 425429 447820 492602 626948 783685 850858 895640 985204 1231505 1253896 1567370 1701716 1724107 1970408 2127145 2463010 2978003 3134740 3403432 3448214 4254290 4679719 4926020 5956006 6269480 6896428 8508580 8620535 9359438 9852040 11912012 13792856 14890015 17017160 17241070 18718876 23398595 23824024 29780030 32758033 34482140 37437752 46797190 59560060 65516066 68964280 93594380 119120120 131032132 163790165 187188760 262064264 327580330 655160660 1310321320