Search a number
-
+
12331013232303 = 351919368320261
BaseRepresentation
bin1011001101110000100110…
…1010011101011010101111
31121122211111111212120100000
42303130021222131122233
53104012403341413203
642120442252235343
72411613001035633
oct263341152353257
947584444776300
1012331013232303
113a2460a5565a7
1214719bb46bb53
136b5a6a7a460c
14308b7795cdc3
15165b581504a3
hexb3709a9d6af

12331013232303 has 96 divisors (see below), whose sum is σ = 19573636642560. Its totient is φ = 7735930583040.

The previous prime is 12331013232289. The next prime is 12331013232319. The reversal of 12331013232303 is 30323231013321.

12331013232303 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 101 + 323 + 230 + 3 = 666.

It is not a de Polignac number, because 12331013232303 - 29 = 12331013231791 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12331013232353) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 608598193 + ... + 608618453.

It is an arithmetic number, because the mean of its divisors is an integer number (203892048360).

Almost surely, 212331013232303 is an apocalyptic number.

12331013232303 is a deficient number, since it is larger than the sum of its proper divisors (7242623410257).

12331013232303 is a wasteful number, since it uses less digits than its factorization.

12331013232303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21171 (or 21159 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 12331013232303 its reverse (30323231013321), we get a palindrome (42654244245624).

The spelling of 12331013232303 in words is "twelve trillion, three hundred thirty-one billion, thirteen million, two hundred thirty-two thousand, three hundred three".

Divisors: 1 3 9 19 27 57 81 171 193 243 513 579 683 1539 1737 2049 3667 4617 5211 6147 11001 12977 15633 18441 20261 33003 38931 46899 55323 60783 99009 116793 131819 165969 182349 297027 350379 384959 395457 547047 891081 1051137 1154877 1186371 1641141 2504561 3153411 3464631 3559113 3910373 4923423 7513683 10393893 10677339 11731119 13838263 22541049 31181679 32032017 35193357 41514789 67623147 74297087 93545037 105580071 124544367 202869441 222891261 262926997 316740213 373633101 608608323 668673783 788780991 950220639 1120899303 2006021349 2366342973 2670784759 3362697909 6018064047 7099028919 8012354277 18054192141 21297086757 24037062831 50744910421 63891260271 72111188493 152234731263 216333565479 456704193789 649000696437 1370112581367 4110337744101 12331013232303