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1315321320 = 233531477523
BaseRepresentation
bin100111001100110…
…0011010111101000
310101200000020122110
41032121203113220
510143210240240
6334303522320
744411022015
oct11631432750
93350006573
101315321320
11615512415
123085b93a0
1317c670951
14c698c70c
157a719c80
hex4e6635e8

1315321320 has 128 divisors (see below), whose sum is σ = 4160471040. Its totient is φ = 332171520.

The previous prime is 1315321313. The next prime is 1315321327. The reversal of 1315321320 is 231235131.

It is an interprime number because it is at equal distance from previous prime (1315321313) and next prime (1315321327).

It is not an unprimeable number, because it can be changed into a prime (1315321327) 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, 171079 + ... + 178601.

It is an arithmetic number, because the mean of its divisors is an integer number (32503680).

Almost surely, 21315321320 is an apocalyptic number.

1315321320 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 1315321320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2080235520).

1315321320 is an abundant number, since it is smaller than the sum of its proper divisors (2845149720).

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

1315321320 is a wasteful number, since it uses less digits than its factorization.

1315321320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7615 (or 7611 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 1315321320 is about 36267.3588781979. The cubic root of 1315321320 is about 1095.6637330410.

Adding to 1315321320 its reverse (231235131), we get a palindrome (1546556451).

The spelling of 1315321320 in words is "one billion, three hundred fifteen million, three hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 47 60 62 93 94 120 124 141 155 186 188 235 248 282 310 372 376 465 470 564 620 705 744 930 940 1128 1240 1410 1457 1860 1880 2820 2914 3720 4371 5640 5828 7285 7523 8742 11656 14570 15046 17484 21855 22569 29140 30092 34968 37615 43710 45138 58280 60184 75230 87420 90276 112845 150460 174840 180552 225690 233213 300920 353581 451380 466426 699639 707162 902760 932852 1060743 1166065 1399278 1414324 1767905 1865704 2121486 2332130 2798556 2828648 3498195 3535810 4242972 4664260 5303715 5597112 6996390 7071620 8485944 9328520 10607430 10961011 13992780 14143240 21214860 21922022 27985560 32883033 42429720 43844044 54805055 65766066 87688088 109610110 131532132 164415165 219220220 263064264 328830330 438440440 657660660 1315321320