Search a number
-
+
2131533322479 = 32111719229120977
BaseRepresentation
bin11111000001001001010…
…010010101100011101111
321112202212012222221121100
4133001021102111203233
5234410340012304404
64311113552334143
7306666245204241
oct37011122254357
97482765887540
102131533322479
11751a83a9a880
122a5132244353
13126005cc74c2
1475249854091
153a6a576dd39
hex1f0494958ef

2131533322479 has 144 divisors (see below), whose sum is σ = 3882842140320. Its totient is φ = 1112127528960.

The previous prime is 2131533322439. The next prime is 2131533322489. The reversal of 2131533322479 is 9742233351312.

2131533322479 is a `hidden beast` number, since 2 + 1 + 3 + 153 + 3 + 3 + 22 + 479 = 666.

It is not a de Polignac number, because 2131533322479 - 27 = 2131533322351 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131533322439) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17558839 + ... + 17679815.

It is an arithmetic number, because the mean of its divisors is an integer number (26964181530).

Almost surely, 22131533322479 is an apocalyptic number.

2131533322479 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

2131533322479 is a deficient number, since it is larger than the sum of its proper divisors (1751308817841).

2131533322479 is a wasteful number, since it uses less digits than its factorization.

2131533322479 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121078 (or 121056 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The spelling of 2131533322479 in words is "two trillion, one hundred thirty-one billion, five hundred thirty-three million, three hundred twenty-two thousand, four hundred seventy-nine".

Divisors: 1 3 9 11 17 19 29 33 51 57 87 99 153 171 187 209 261 319 323 361 493 551 561 627 957 969 1083 1479 1653 1683 1881 2871 2907 3249 3553 3971 4437 4959 5423 6061 6137 9367 10469 10659 11913 16269 18183 18411 28101 31407 31977 35739 48807 54549 55233 67507 84303 94221 103037 115159 120977 177973 202521 309111 345477 362931 533919 607563 927333 1036431 1088793 1330747 1601757 1957703 2056609 2298563 3508333 3992241 5873109 6169827 6895689 10524999 11976723 17619327 18509481 20687067 22622699 25284193 31574997 38591663 39075571 43672697 59641661 66658327 67868097 75852579 115774989 117226713 131018091 178924983 199974981 203604291 227557737 347324967 351680139 393054273 429831281 480399667 536774949 599924943 656058271 733241597 742435849 1133191559 1266508213 1289493843 1441199001 1968174813 2199724791 2227307547 3399574677 3799524639 3868481529 4323597003 5904524439 6599174373 6681922641 8166794339 10198724031 11398573917 12465107149 13931590343 21530639621 24500383017 37395321447 41794771029 64591918863 73501149051 112185964341 125384313087 193775756589 236837035831 710511107493 2131533322479