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320000013111321 = 322772933119831433
BaseRepresentation
bin100100011000010011100111…
…1000111000001000000011001
31112222000200222010002012212100
41020300213033013001000121
5313420340011324030241
63052325550535234013
7124255144431120264
oct11060471707010031
91488020863065770
10320000013111321
1192a64275022264
122ba82190b18909
1310972b4432961a
145904124707cdb
1526ede049349b6
hex12309cf1c1019

320000013111321 has 96 divisors (see below), whose sum is σ = 467772107991552. Its totient is φ = 210794552570880.

The previous prime is 320000013111319. The next prime is 320000013111403. The reversal of 320000013111321 is 123111310000023.

320000013111321 is a `hidden beast` number, since 3 + 200 + 0 + 0 + 0 + 131 + 11 + 321 = 666.

It is not a de Polignac number, because 320000013111321 - 21 = 320000013111319 is a prime.

It is a super-2 number, since 2×3200000131113212 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 320000013111294 and 320000013111303.

It is not an unprimeable number, because it can be changed into a prime (320000013211321) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 223307754421 + ... + 223307755853.

It is an arithmetic number, because the mean of its divisors is an integer number (4872626124912).

Almost surely, 2320000013111321 is an apocalyptic number.

It is an amenable number.

320000013111321 is a deficient number, since it is larger than the sum of its proper divisors (147772094880231).

320000013111321 is a wasteful number, since it uses less digits than its factorization.

320000013111321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3303 (or 3300 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 320000013111321 its reverse (123111310000023), we get a palindrome (443111323111344).

The spelling of 320000013111321 in words is "three hundred twenty trillion, thirteen million, one hundred eleven thousand, three hundred twenty-one".

Divisors: 1 3 9 277 293 311 831 879 933 983 1433 2493 2637 2799 2949 4299 8847 12897 81161 86147 91123 243483 258441 272291 273369 288019 305713 396941 419869 445663 730449 775323 816873 820107 864057 917139 1190823 1259607 1336989 1408639 2450619 2592171 2751417 3572469 3778821 4010967 4225917 12677751 25241071 75723213 79781263 84682501 89573909 116303713 123448651 130579259 227169639 239343789 254047503 268721727 348911139 370345953 390193003 391737777 412731227 438086729 718031367 762142509 806165181 1046733417 1111037859 1170579009 1175213331 1238193681 1314260187 3511737027 3714581043 3942780561 24811972793 36170454743 74435918379 108511364229 114326549879 121350023933 128359411597 223307755137 325534092687 342979649637 364050071799 385078234791 1028938948911 1092150215397 1155234704373 35555557012369 106666671037107 320000013111321