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2001051320 = 235476117449
BaseRepresentation
bin111011101000101…
…1001111010111000
312011110022221100212
41313101121322320
513044232120240
6530321250252
7100405440602
oct16721317270
95143287325
102001051320
119375a5524
1247a193988
1325b754a48
1414da90172
15baa1e165
hex77459eb8

2001051320 has 64 divisors (see below), whose sum is σ = 4673808000. Its totient is φ = 770503680.

The previous prime is 2001051319. The next prime is 2001051361. The reversal of 2001051320 is 231501002.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2001051295 and 2001051304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105956 + ... + 123404.

It is an arithmetic number, because the mean of its divisors is an integer number (73028250).

Almost surely, 22001051320 is an apocalyptic number.

2001051320 is a gapful number since it is divisible by the number (20) 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 2001051320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2336904000).

2001051320 is an abundant number, since it is smaller than the sum of its proper divisors (2672756680).

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

2001051320 is a wasteful number, since it uses less digits than its factorization.

2001051320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17568 (or 17564 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 2001051320 is about 44733.1121206652. The cubic root of 2001051320 is about 1260.1417745904.

Adding to 2001051320 its reverse (231501002), we get a palindrome (2232552322).

The spelling of 2001051320 in words is "two billion, one million, fifty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 61 94 122 188 235 244 305 376 470 488 610 940 1220 1880 2440 2867 5734 11468 14335 17449 22936 28670 34898 57340 69796 87245 114680 139592 174490 348980 697960 820103 1064389 1640206 2128778 3280412 4100515 4257556 5321945 6560824 8201030 8515112 10643890 16402060 21287780 32804120 42575560 50026283 100052566 200105132 250131415 400210264 500262830 1000525660 2001051320