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201343023240 = 23358927768059
BaseRepresentation
bin1011101110000011111…
…0101011100010001000
3201020200221102100000220
42323200332223202020
511244322303220430
6232255023430040
720355316313442
oct2734076534210
9636627370026
10201343023240
1178430984467
1233031455320
1315ca963ba98
149a60601492
155386312110
hex2ee0fab888

201343023240 has 128 divisors (see below), whose sum is σ = 613030032000. Its totient is φ = 52895766528.

The previous prime is 201343023157. The next prime is 201343023253. The reversal of 201343023240 is 42320343102.

201343023240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 201343023240.

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, 2924331 + ... + 2992389.

It is an arithmetic number, because the mean of its divisors is an integer number (4789297125).

Almost surely, 2201343023240 is an apocalyptic number.

201343023240 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 201343023240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306515016000).

201343023240 is an abundant number, since it is smaller than the sum of its proper divisors (411687008760).

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

201343023240 is a wasteful number, since it uses less digits than its factorization.

201343023240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68439 (or 68435 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 201343023240 its reverse (42320343102), we get a palindrome (243663366342).

The spelling of 201343023240 in words is "two hundred one billion, three hundred forty-three million, twenty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 89 120 178 267 277 356 445 534 554 712 831 890 1068 1108 1335 1385 1662 1780 2136 2216 2670 2770 3324 3560 4155 5340 5540 6648 8310 10680 11080 16620 24653 33240 49306 68059 73959 98612 123265 136118 147918 197224 204177 246530 272236 295836 340295 369795 408354 493060 544472 591672 680590 739590 816708 986120 1020885 1361180 1479180 1633416 2041770 2722360 2958360 4083540 6057251 8167080 12114502 18171753 18852343 24229004 30286255 36343506 37704686 48458008 56557029 60572510 72687012 75409372 90858765 94261715 113114058 121145020 145374024 150818744 181717530 188523430 226228116 242290040 282785145 363435060 377046860 452456232 565570290 726870120 754093720 1131140580 1677858527 2262281160 3355717054 5033575581 6711434108 8389292635 10067151162 13422868216 16778585270 20134302324 25167877905 33557170540 40268604648 50335755810 67114341080 100671511620 201343023240