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1301033320 = 235414716879
BaseRepresentation
bin100110110001100…
…0011000101101000
310100200010100012021
41031203003011220
510131031031240
6333033354224
744145413026
oct11543030550
93320110167
101301033320
11608443654
12303868974
1317970a402
14c4b0d716
157934654a
hex4d8c3168

1301033320 has 64 divisors (see below), whose sum is σ = 3062707200. Its totient is φ = 496888320.

The previous prime is 1301033317. The next prime is 1301033329. The reversal of 1301033320 is 233301031.

It is a junction number, because it is equal to n+sod(n) for n = 1301033294 and 1301033303.

It is not an unprimeable number, because it can be changed into a prime (1301033329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68641 + ... + 85519.

It is an arithmetic number, because the mean of its divisors is an integer number (47854800).

Almost surely, 21301033320 is an apocalyptic number.

1301033320 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 1301033320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531353600).

1301033320 is an abundant number, since it is smaller than the sum of its proper divisors (1761673880).

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

1301033320 is a wasteful number, since it uses less digits than its factorization.

1301033320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16978 (or 16974 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 1301033320 is about 36069.8394784341. The cubic root of 1301033320 is about 1091.6819752206.

Adding to 1301033320 its reverse (233301031), we get a palindrome (1534334351).

The spelling of 1301033320 in words is "one billion, three hundred one million, thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 47 82 94 164 188 205 235 328 376 410 470 820 940 1640 1880 1927 3854 7708 9635 15416 16879 19270 33758 38540 67516 77080 84395 135032 168790 337580 675160 692039 793313 1384078 1586626 2768156 3173252 3460195 3966565 5536312 6346504 6920390 7933130 13840780 15866260 27681560 31732520 32525833 65051666 130103332 162629165 260206664 325258330 650516660 1301033320