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231323011232 = 25196115739727
BaseRepresentation
bin1101011101101111101…
…1010000100010100000
3211010002022001112002112
43113123323100202200
512242222142324412
6254133542534452
722466254103315
oct3273373204240
9733068045075
10231323011232
118a11589a145
12389b9737428
1318a76818151
14b2a611ad0c
15603d2d6722
hex35dbed08a0

231323011232 has 96 divisors (see below), whose sum is σ = 490361114880. Its totient is φ = 107088583680.

The previous prime is 231323011217. The next prime is 231323011253. The reversal of 231323011232 is 232110323132.

231323011232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 231323011198 and 231323011207.

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 15 ways as a sum of consecutive naturals, for example, 5802953 + ... + 5842679.

It is an arithmetic number, because the mean of its divisors is an integer number (5107928280).

Almost surely, 2231323011232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231323011232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245180557440).

231323011232 is an abundant number, since it is smaller than the sum of its proper divisors (259038103648).

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

231323011232 is a wasteful number, since it uses less digits than its factorization.

231323011232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39974 (or 39966 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 231323011232 its reverse (232110323132), we get a palindrome (463433334364).

The spelling of 231323011232 in words is "two hundred thirty-one billion, three hundred twenty-three million, eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 19 32 38 61 76 122 152 157 244 304 314 488 608 628 976 1159 1256 1952 2318 2512 2983 4636 5024 5966 9272 9577 11932 18544 19154 23864 37088 38308 39727 47728 76616 79454 95456 153232 158908 181963 306464 317816 363926 635632 727852 754813 1271264 1455704 1509626 2423347 2911408 3019252 4846694 5822816 6038504 6237139 9693388 12077008 12474278 19386776 24154016 24948556 38773552 46043593 49897112 77547104 92087186 99794224 118505641 184174372 199588448 237011282 368348744 380465479 474022564 736697488 760930958 948045128 1473394976 1521861916 1896090256 3043723832 3792180512 6087447664 7228844101 12174895328 14457688202 28915376404 57830752808 115661505616 231323011232