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1301113320 = 2335132773011
BaseRepresentation
bin100110110001101…
…0110100111101000
310100200021101221020
41031203112213220
510131041111240
6333035212440
744146165203
oct11543264750
93320241836
101301113320
11608498771
123038a7120
13179737950
14c4b3093a
15793600d0
hex4d8d69e8

1301113320 has 128 divisors (see below), whose sum is σ = 4220173440. Its totient is φ = 319011840.

The previous prime is 1301113291. The next prime is 1301113403. The reversal of 1301113320 is 233111031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1301113320.

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, 430615 + ... + 433625.

It is an arithmetic number, because the mean of its divisors is an integer number (32970105).

Almost surely, 21301113320 is an apocalyptic number.

1301113320 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 1301113320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2110086720).

1301113320 is an abundant number, since it is smaller than the sum of its proper divisors (2919060120).

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

1301113320 is a wasteful number, since it uses less digits than its factorization.

1301113320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3315 (or 3311 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 1301113320 is about 36070.9484211325. The cubic root of 1301113320 is about 1091.7043504528.

Adding to 1301113320 its reverse (233111031), we get a palindrome (1534224351).

The spelling of 1301113320 in words is "one billion, three hundred one million, one hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 277 312 390 520 554 780 831 1108 1385 1560 1662 2216 2770 3011 3324 3601 4155 5540 6022 6648 7202 8310 9033 10803 11080 12044 14404 15055 16620 18005 18066 21606 24088 28808 30110 33240 36010 36132 39143 43212 45165 54015 60220 72020 72264 78286 86424 90330 108030 117429 120440 144040 156572 180660 195715 216060 234858 313144 361320 391430 432120 469716 587145 782860 834047 939432 1174290 1565720 1668094 2348580 2502141 3336188 4170235 4697160 5004282 6672376 8340470 10008564 10842611 12510705 16680940 20017128 21685222 25021410 32527833 33361880 43370444 50042820 54213055 65055666 86740888 100085640 108426110 130111332 162639165 216852220 260222664 325278330 433704440 650556660 1301113320