Search a number
-
+
231442533135 = 3251117211291433
BaseRepresentation
bin1101011110001100001…
…1001100101100001111
3211010101121221212022200
43113203003030230033
512242443242030020
6254153452412543
722502235033552
oct3274303145417
9733347855280
10231442533135
118a177304780
1238a31777153
1318a95505578
14b2b7d50699
156048a45590
hex35e30ccb0f

231442533135 has 144 divisors (see below), whose sum is σ = 465630927840. Its totient is φ = 105446522880.

The previous prime is 231442533131. The next prime is 231442533143. The reversal of 231442533135 is 531335244132.

231442533135 is a `hidden beast` number, since 2 + 31 + 442 + 53 + 3 + 135 = 666.

It is not a de Polignac number, because 231442533135 - 22 = 231442533131 is a prime.

It is a super-2 number, since 2×2314425331352 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 231442533135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231442533131) 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, 161508379 + ... + 161509811.

It is an arithmetic number, because the mean of its divisors is an integer number (3233548110).

Almost surely, 2231442533135 is an apocalyptic number.

231442533135 is an abundant number, since it is smaller than the sum of its proper divisors (234188394705).

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

231442533135 is a wasteful number, since it uses less digits than its factorization.

231442533135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2618 (or 2598 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

Adding to 231442533135 its reverse (531335244132), we get a palindrome (762777777267).

The spelling of 231442533135 in words is "two hundred thirty-one billion, four hundred forty-two million, five hundred thirty-three thousand, one hundred thirty-five".

Divisors: 1 3 5 9 11 15 17 33 45 51 55 85 99 153 165 187 255 289 495 561 765 867 935 1129 1433 1445 1683 2601 2805 3179 3387 4299 4335 5645 7165 8415 9537 10161 12419 12897 13005 15763 15895 16935 19193 21495 24361 28611 37257 47289 47685 50805 57579 62095 64485 73083 78815 95965 111771 121805 141867 143055 172737 186285 211123 219249 236445 267971 287895 326281 365415 414137 558855 633369 709335 803913 863685 978843 1055615 1096245 1242411 1339855 1617857 1631405 1900107 2070685 2411739 2936529 3166845 3589091 3727233 4019565 4555507 4853571 4894215 6212055 8089285 9500535 10767273 12058695 13666521 14560713 14682645 17796427 17945455 18636165 22777535 24267855 27503569 32301819 40999563 53389281 53836365 68332605 72803565 82510707 88982135 137517845 160167843 161509095 204997815 247532121 266946405 302539259 412553535 467560673 800839215 907617777 1237660605 1402682019 1512696295 2337803365 2722853331 4208046057 4538088885 5143167403 7013410095 13614266655 15429502209 21040230285 25715837015 46288506627 77147511045 231442533135