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2001230301320 = 2356131110692467
BaseRepresentation
bin11101000111110010100…
…111110000100010001000
321002022112011212122002122
4131013302213300202020
5230242004424120240
64131204050350412
7264404231615255
oct35076247604210
97068464778078
102001230301320
11701798373438
12283a27b8b408
1311693b407a13
146cc0802a42c
15370cb0014b5
hex1d1f29f0888

2001230301320 has 128 divisors (see below), whose sum is σ = 4597457529600. Its totient is φ = 783785548800.

The previous prime is 2001230301281. The next prime is 2001230301337. The reversal of 2001230301320 is 231030321002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 811198727 + ... + 811201193.

It is an arithmetic number, because the mean of its divisors is an integer number (35917636950).

Almost surely, 22001230301320 is an apocalyptic number.

2001230301320 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 2001230301320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2298728764800).

2001230301320 is an abundant number, since it is smaller than the sum of its proper divisors (2596227228280).

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

2001230301320 is a wasteful number, since it uses less digits than its factorization.

2001230301320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3919 (or 3915 counting only the distinct ones).

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

Adding to 2001230301320 its reverse (231030321002), we get a palindrome (2232260622322).

The spelling of 2001230301320 in words is "two trillion, one billion, two hundred thirty million, three hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 311 488 610 622 1069 1220 1244 1555 2138 2440 2467 2488 3110 4276 4934 5345 6220 8552 9868 10690 12335 12440 18971 19736 21380 24670 37942 42760 49340 65209 75884 94855 98680 130418 150487 151768 189710 260836 300974 326045 332459 379420 521672 601948 652090 664918 752435 758840 767237 1203896 1304180 1329836 1504870 1534474 1662295 2608360 2637223 2659672 3009740 3068948 3324590 3836185 5274446 6019480 6137896 6649180 7672370 10548892 13186115 13298360 15344740 20279999 21097784 26372230 30689480 40559998 46801457 52744460 81119996 93602914 101399995 105488920 160870603 162239992 187205828 202799990 234007285 321741206 374411656 405599980 468014570 643482412 804353015 811199960 820176353 936029140 1286964824 1608706030 1640352706 1872058280 3217412060 3280705412 4100881765 6434824120 6561410824 8201763530 16403527060 32807054120 50030757533 100061515066 200123030132 250153787665 400246060264 500307575330 1000615150660 2001230301320