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1301313320 = 235233534007
BaseRepresentation
bin100110110010000…
…0111011100101000
310100200122120021122
41031210013130220
510131114011240
6333043354412
744150660246
oct11544073450
93320576248
101301313320
11608614a5a
12303982a08
131797a79a8
14c4b83796
157939e4b5
hex4d907728

1301313320 has 64 divisors (see below), whose sum is σ = 3064677120. Its totient is φ = 496359424.

The previous prime is 1301313301. The next prime is 1301313323. The reversal of 1301313320 is 233131031.

It is not an unprimeable number, because it can be changed into a prime (1301313323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 322757 + ... + 326763.

It is an arithmetic number, because the mean of its divisors is an integer number (47885580).

Almost surely, 21301313320 is an apocalyptic number.

1301313320 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 1301313320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532338560).

1301313320 is an abundant number, since it is smaller than the sum of its proper divisors (1763363800).

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

1301313320 is a wasteful number, since it uses less digits than its factorization.

1301313320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4394 (or 4390 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 1301313320 is about 36073.7206287347. The cubic root of 1301313320 is about 1091.7602845210.

Adding to 1301313320 its reverse (233131031), we get a palindrome (1534444351).

The spelling of 1301313320 in words is "one billion, three hundred one million, three hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 353 460 706 920 1412 1765 2824 3530 4007 7060 8014 8119 14120 16028 16238 20035 32056 32476 40070 40595 64952 80140 81190 92161 160280 162380 184322 324760 368644 460805 737288 921610 1414471 1843220 2828942 3686440 5657884 7072355 11315768 14144710 28289420 32532833 56578840 65065666 130131332 162664165 260262664 325328330 650656660 1301313320