Search a number
-
+
32130020113323 = 311531011572295059
BaseRepresentation
bin1110100111000110110100…
…11011110111101110101011
311012202121012100022201100220
413103203122123313232223
513202404240122111243
6152200154422301123
76524213564542116
oct723433233675653
9135677170281326
1032130020113323
11a2682a07a9450
12372b01a8877a3
1314c0b03a9b002
147d115bc5d57d
153aab9778e783
hex1d38da6f7bab

32130020113323 has 128 divisors (see below), whose sum is σ = 48615035673600. Its totient is φ = 18709906176000.

The previous prime is 32130020113319. The next prime is 32130020113337. The reversal of 32130020113323 is 32331102003123.

It is not a de Polignac number, because 32130020113323 - 22 = 32130020113319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 32130020113293 and 32130020113302.

It is not an unprimeable number, because it can be changed into a prime (32130020113523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6351058968 + ... + 6351064026.

It is an arithmetic number, because the mean of its divisors is an integer number (379804966200).

Almost surely, 232130020113323 is an apocalyptic number.

32130020113323 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

32130020113323 is a deficient number, since it is larger than the sum of its proper divisors (16485015560277).

32130020113323 is a wasteful number, since it uses less digits than its factorization.

32130020113323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5613.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 32130020113323 its reverse (32331102003123), we get a palindrome (64461122116446).

The spelling of 32130020113323 in words is "thirty-two trillion, one hundred thirty billion, twenty million, one hundred thirteen thousand, three hundred twenty-three".

Divisors: 1 3 11 33 53 101 157 159 229 303 471 583 687 1111 1727 1749 2519 3333 5059 5181 5353 7557 8321 12137 15177 15857 16059 23129 24963 35953 36411 47571 55649 58883 69387 91531 107859 133507 166947 174427 176649 254419 268127 274593 395483 400521 510959 523281 763257 794263 804381 840421 1158511 1186449 1225837 1532877 1905509 2382789 2521263 2949397 3475533 3631253 3677511 5620549 5716527 8736893 8848191 9244631 10893759 12743621 13484207 16861647 20960599 26210679 27080827 27733893 38230863 39943783 40452621 42095939 61401083 62881797 80220563 81242481 117009611 119831349 126287817 181886227 184203249 192456409 240661689 297889097 351028833 463055329 545658681 577369227 675411913 882426193 893667291 1287105721 1389165987 2000748497 2026235739 2117020499 2647278579 3861317163 4251689839 6002245491 6201509383 6351061497 9639970031 12755069517 18370508927 18604528149 28919910093 46768588229 55111526781 68216603213 106039670341 140305764687 202075598197 204649809639 318119011023 606226794591 973636973131 2920910919393 10710006704441 32130020113323