Search a number
-
+
231133103334 = 232717591828903
BaseRepresentation
bin1101011101000010011…
…0110100010011100110
3211002121001201012102200
43113100212310103212
512241330033301314
6254103040315330
722461456651060
oct3272046642346
9732531635380
10231133103334
118a02867a571
1238966012b46
1318a46385603
14b288c04730
15602b7c2709
hex35d09b44e6

231133103334 has 96 divisors (see below), whose sum is σ = 616267491840. Its totient is φ = 61099958016.

The previous prime is 231133103281. The next prime is 231133103381. The reversal of 231133103334 is 433301331132.

231133103334 is a `hidden beast` number, since 2 + 3 + 1 + 13 + 310 + 3 + 334 = 666.

231133103334 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2311331033342 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 231133103298 and 231133103307.

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 47 ways as a sum of consecutive naturals, for example, 788074 + ... + 1040829.

It is an arithmetic number, because the mean of its divisors is an integer number (6419453040).

Almost surely, 2231133103334 is an apocalyptic number.

231133103334 is an abundant number, since it is smaller than the sum of its proper divisors (385134388506).

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

231133103334 is a wasteful number, since it uses less digits than its factorization.

231133103334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828994 (or 1828991 counting only the distinct ones).

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

Adding to 231133103334 its reverse (433301331132), we get a palindrome (664434434466).

The spelling of 231133103334 in words is "two hundred thirty-one billion, one hundred thirty-three million, one hundred three thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 59 63 102 118 119 126 153 177 238 306 354 357 413 531 714 826 1003 1062 1071 1239 2006 2142 2478 3009 3717 6018 7021 7434 9027 14042 18054 21063 42126 63189 126378 1828903 3657806 5486709 10973418 12802321 16460127 25604642 31091351 32920254 38406963 62182702 76813926 93274053 107905277 115220889 186548106 215810554 217639457 230441778 279822159 323715831 435278914 559644318 647431662 652918371 755336939 971147493 1305836742 1510673878 1834389709 1942294986 1958755113 2266010817 3668779418 3917510226 4532021634 5503169127 6798032451 11006338254 12840727963 13596064902 16509507381 25681455926 33019014762 38522183889 77044367778 115566551667 231133103334