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1301334020 = 2257172323773
BaseRepresentation
bin100110110010000…
…1100100000000100
310100200200121200022
41031210030200010
510131120142040
6333044034312
744151104510
oct11544144004
93320617608
101301334020
11608629568
12303992998
131797b423c
14c4b8b140
15793a56b5
hex4d90c804

1301334020 has 96 divisors (see below), whose sum is σ = 3450843648. Its totient is φ = 401651712.

The previous prime is 1301334017. The next prime is 1301334077. The reversal of 1301334020 is 204331031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 1301334020.

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, 42854 + ... + 66626.

It is an arithmetic number, because the mean of its divisors is an integer number (35946288).

Almost surely, 21301334020 is an apocalyptic number.

1301334020 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 1301334020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725421824).

1301334020 is an abundant number, since it is smaller than the sum of its proper divisors (2149509628).

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

1301334020 is a wasteful number, since it uses less digits than its factorization.

1301334020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23829 (or 23827 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 1301334020 is about 36074.0075400558. The cubic root of 1301334020 is about 1091.7660733698.

Adding to 1301334020 its reverse (204331031), we get a palindrome (1505665051).

The spelling of 1301334020 in words is "one billion, three hundred one million, three hundred thirty-four thousand, twenty".

Divisors: 1 2 4 5 7 10 14 17 20 23 28 34 35 46 68 70 85 92 115 119 140 161 170 230 238 322 340 391 460 476 595 644 782 805 1190 1564 1610 1955 2380 2737 3220 3910 5474 7820 10948 13685 23773 27370 47546 54740 95092 118865 166411 237730 332822 404141 475460 546779 665644 808282 832055 1093558 1616564 1664110 2020705 2187116 2733895 2828987 3328220 3827453 4041410 5467790 5657974 7654906 8082820 9295243 10935580 11315948 14144935 15309812 18590486 19137265 28289870 37180972 38274530 46476215 56579740 65066701 76549060 92952430 130133402 185904860 260266804 325333505 650667010 1301334020