Search a number
-
+
3301201023320 = 235191732145133
BaseRepresentation
bin110000000010011110111…
…010100001000101011000
3102200120222101010121110102
4300002132322201011120
5413041324430221240
611004314550434532
7460334560466234
oct60023672410530
912616871117412
103301201023320
111063038a08632
12453965662a48
131ac3c04209a5
14b5ac97535c4
155ad12591815
hex3009eea1158

3301201023320 has 96 divisors (see below), whose sum is σ = 7864143843600. Its totient is φ = 1243741764096.

The previous prime is 3301201023311. The next prime is 3301201023353. The reversal of 3301201023320 is 233201021033.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3301201023292 and 3301201023301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22673474 + ... + 22818606.

Almost surely, 23301201023320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3301201023320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3932071921800).

3301201023320 is an abundant number, since it is smaller than the sum of its proper divisors (4562942820280).

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

3301201023320 is a wasteful number, since it uses less digits than its factorization.

3301201023320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145509 (or 145332 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 3301201023320 its reverse (233201021033), we get a palindrome (3534402044353).

The spelling of 3301201023320 in words is "three trillion, three hundred one billion, two hundred one million, twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 173 190 346 380 692 760 865 1384 1730 3287 3460 6574 6920 13148 16435 26296 29929 32870 59858 65740 119716 131480 145133 149645 239432 290266 299290 568651 580532 598580 725665 1137302 1161064 1197160 1451330 2274604 2757527 2843255 2902660 4549208 5515054 5686510 5805320 11030108 11373020 13787635 22060216 22746040 25108009 27575270 50216018 55150540 100432036 110301080 125540045 200864072 251080090 477052171 502160180 954104342 1004320360 1908208684 2385260855 3816417368 4343685557 4770521710 8687371114 9541043420 17374742228 19082086840 21718427785 34749484456 43436855570 82530025583 86873711140 165060051166 173747422280 330120102332 412650127915 660240204664 825300255830 1650600511660 3301201023320