Search a number
-
+
1032223131342 = 2331317429720129
BaseRepresentation
bin11110000010101010100…
…10110000011011001110
310122200100101221002202000
433001111102300123032
5113402443110200332
62110110300013130
7134401310564244
oct17012522603316
93580311832660
101032223131342
11368844058457
121480755311a6
1376452100a70
1437d61c30794
151bcb562ab7c
hexf0554b06ce

1032223131342 has 128 divisors (see below), whose sum is σ = 2616326697600. Its totient is φ = 298839932928.

The previous prime is 1032223131337. The next prime is 1032223131383. The reversal of 1032223131342 is 2431313222301.

1032223131342 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 2 + 2 + 313 + 1 + 342 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 51270334 + ... + 51290462.

It is an arithmetic number, because the mean of its divisors is an integer number (20440052325).

Almost surely, 21032223131342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1032223131342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308163348800).

1032223131342 is an abundant number, since it is smaller than the sum of its proper divisors (1584103566258).

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

1032223131342 is a wasteful number, since it uses less digits than its factorization.

1032223131342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24467 (or 24461 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 1032223131342 its reverse (2431313222301), we get a palindrome (3463536353643).

The spelling of 1032223131342 in words is "one trillion, thirty-two billion, two hundred twenty-three million, one hundred thirty-one thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 102 117 153 221 234 306 351 442 459 663 702 918 1326 1989 3978 4297 5967 8594 11934 12891 20129 25782 38673 40258 55861 60387 73049 77346 111722 116019 120774 146098 167583 181161 219147 232038 261677 335166 342193 362322 438294 502749 523354 543483 657441 684386 785031 949637 1005498 1026579 1086966 1314882 1508247 1570062 1899274 1972323 2053158 2355093 2848911 3016494 3079737 3944646 4448509 4710186 5697822 6159474 7065279 8546733 8897018 9239211 13345527 14130558 17093466 18478422 25640199 26691054 40036581 51280398 80073162 86494313 120109743 172988626 240219486 259482939 518965878 778448817 1124426069 1470403321 1556897634 2248852138 2335346451 2940806642 3373278207 4411209963 4670692902 6746556414 8822419926 10119834621 13233629889 19115243173 20239669242 26467259778 30359503863 38230486346 39700889667 57345729519 60719007726 79401779334 114691459038 172037188557 344074377114 516111565671 1032223131342