Search a number
-
+
201232301004 = 223275327295521
BaseRepresentation
bin1011101101101001100…
…0010011101111001100
3201020102020002001200100
42323122120103233030
511244110432113004
6232240030331100
720352503223210
oct2733230235714
9636366061610
10201232301004
117838442a189
1233000359a90
1315c8c712a77
149a4da1c940
15537b740739
hex2eda613bcc

201232301004 has 144 divisors (see below), whose sum is σ = 592630758720. Its totient is φ = 56379248640.

The previous prime is 201232300963. The next prime is 201232301033. The reversal of 201232301004 is 400103232102.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36445764 + ... + 36451284.

It is an arithmetic number, because the mean of its divisors is an integer number (4115491380).

Almost surely, 2201232301004 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 201232301004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296315379360).

201232301004 is an abundant number, since it is smaller than the sum of its proper divisors (391398457716).

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

201232301004 is a wasteful number, since it uses less digits than its factorization.

201232301004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8320 (or 8315 counting only the distinct ones).

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

Adding to 201232301004 its reverse (400103232102), we get a palindrome (601335533106).

The spelling of 201232301004 in words is "two hundred one billion, two hundred thirty-two million, three hundred one thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 53 63 84 106 126 159 212 252 318 371 477 636 742 954 1113 1484 1908 2226 2729 3339 4452 5458 5521 6678 8187 10916 11042 13356 16374 16563 19103 22084 24561 32748 33126 38206 38647 49122 49689 57309 66252 76412 77294 98244 99378 114618 115941 144637 154588 171927 198756 229236 231882 289274 292613 343854 347823 433911 463764 578548 585226 687708 695646 867822 877839 1012459 1170452 1301733 1391292 1735644 1755678 2024918 2048291 2603466 2633517 3037377 3511356 4049836 4096582 5206932 5267034 6074754 6144873 8193164 9112131 10534068 12149508 12289746 15066809 18224262 18434619 24579492 30133618 36448524 36869238 45200427 60267236 73738476 90400854 105467663 135601281 180801708 210935326 271202562 316402989 421870652 542405124 632805978 798540877 949208967 1265611956 1597081754 1898417934 2395622631 3194163508 3796835868 4791245262 5589786139 7186867893 9582490524 11179572278 14373735786 16769358417 22359144556 28747471572 33538716834 50308075251 67077433668 100616150502 201232301004