Search a number
-
+
231233011233312 = 25311477134589329
BaseRepresentation
bin110100100100111000100001…
…011111101011001000100000
31010022201122211010111022221210
4310210320201133223020200
5220302010201333431222
62135442551234350120
766464014402405554
oct6444704137531040
91108648733438853
10231233011233312
11677504076776a0
1221b2660b72b340
139c0424419647a
144115a47831864
151baed7bbded0c
hexd24e217eb220

231233011233312 has 96 divisors (see below), whose sum is σ = 662181281858880. Its totient is φ = 70069125611520.

The previous prime is 231233011233293. The next prime is 231233011233317. The reversal of 231233011233312 is 213332110332132.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 231233011233312.

It is not an unprimeable number, because it can be changed into a prime (231233011233317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48090264 + ... + 52679592.

It is an arithmetic number, because the mean of its divisors is an integer number (6897721686030).

Almost surely, 2231233011233312 is an apocalyptic number.

231233011233312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

231233011233312 is an abundant number, since it is smaller than the sum of its proper divisors (430948270625568).

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

231233011233312 is a wasteful number, since it uses less digits than its factorization.

231233011233312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4637066 (or 4637058 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

Adding to 231233011233312 its reverse (213332110332132), we get a palindrome (444565121565444).

The spelling of 231233011233312 in words is "two hundred thirty-one trillion, two hundred thirty-three billion, eleven million, two hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 47713 95426 143139 190852 286278 381704 524843 572556 763408 1049686 1145112 1526816 1574529 2099372 2290224 3149058 4198744 4580448 4589329 6298116 8397488 9178658 12596232 13767987 16794976 18357316 25192464 27535974 36714632 50384928 50482619 55071948 73429264 100965238 110143896 146858528 151447857 201930476 220287792 302895714 403860952 440575584 605791428 807721904 1211582856 1615443808 2423165712 4846331424 218970654577 437941309154 656911963731 875882618308 1313823927462 1751765236616 2408677200347 2627647854924 3503530473232 4817354400694 5255295709848 7007060946464 7226031601041 9634708801388 10510591419696 14452063202082 19269417602776 21021182839392 28904126404164 38538835205552 57808252808328 77077670411104 115616505616656 231233011233312