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2320210310004 = 223217131273110597
BaseRepresentation
bin100001110000110111010…
…011111011001101110100
322012210212110001000001100
4201300313103323031310
5301003242314410004
64533520115130100
7326425655142126
oct41606723731564
98183773030040
102320210310004
11814aa5261124
123158098a3930
1313aa444c48a2
1480427bc1216
1540549aeb739
hex21c374fb374

2320210310004 has 144 divisors (see below), whose sum is σ = 6260260982976. Its totient is φ = 722019916800.

The previous prime is 2320210309993. The next prime is 2320210310053. The reversal of 2320210310004 is 4000130120232.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 218944434 + ... + 218955030.

It is an arithmetic number, because the mean of its divisors is an integer number (43474034604).

Almost surely, 22320210310004 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 2320210310004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3130130491488).

2320210310004 is an abundant number, since it is smaller than the sum of its proper divisors (3940050672972).

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

2320210310004 is a wasteful number, since it uses less digits than its factorization.

2320210310004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13486 (or 13481 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2320210310004 its reverse (4000130120232), we get a palindrome (6320340430236).

The spelling of 2320210310004 in words is "two trillion, three hundred twenty billion, two hundred ten million, three hundred ten thousand, four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 131 153 204 262 306 393 524 612 786 1179 1572 2227 2358 2731 4454 4716 5462 6681 8193 8908 10597 10924 13362 16386 20043 21194 24579 26724 31791 32772 40086 42388 46427 49158 63582 80172 92854 95373 98316 127164 139281 180149 185708 190746 278562 357761 360298 381492 417843 540447 557124 715522 720596 835686 1073283 1080894 1388207 1431044 1621341 1671372 2146566 2161788 2776414 3219849 3242682 4164621 4293132 5552828 6081937 6439698 6485364 8329242 12163874 12493863 12879396 16658484 18245811 23599519 24327748 24987726 28940407 36491622 47199038 49975452 54737433 57880814 70798557 72983244 86821221 94398076 109474866 115761628 141597114 173642442 212395671 218949732 260463663 283194228 347284884 424791342 491986919 520927326 849582684 983973838 1041854652 1475960757 1967947676 2951921514 3791193317 4427882271 5903843028 7582386634 8855764542 11373579951 15164773268 17711529084 22747159902 34120739853 45494319804 64450286389 68241479706 128900572778 136482959412 193350859167 257801145556 386701718334 580052577501 773403436668 1160105155002 2320210310004