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231313320040 = 235116112317001
BaseRepresentation
bin1101011101101101011…
…0010010100001101000
3211010001121211011021111
43113123112102201220
512242212202220130
6254132555120104
722466105531155
oct3273326224150
9733047734244
10231313320040
118a11037aaa0
12389b6443034
1318a7480400a
14b2a4b1722c
15603c52002a
hex35db592868

231313320040 has 128 divisors (see below), whose sum is σ = 577628029440. Its totient is φ = 82656000000.

The previous prime is 231313320037. The next prime is 231313320109. The reversal of 231313320040 is 40023313132.

231313320040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 231313319993 and 231313320020.

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 31 ways as a sum of consecutive naturals, for example, 33036540 + ... + 33043540.

It is an arithmetic number, because the mean of its divisors is an integer number (4512718980).

Almost surely, 2231313320040 is an apocalyptic number.

231313320040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231313320040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288814014720).

231313320040 is an abundant number, since it is smaller than the sum of its proper divisors (346314709400).

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

231313320040 is a wasteful number, since it uses less digits than its factorization.

231313320040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8315 (or 8311 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 231313320040 its reverse (40023313132), we get a palindrome (271336633172).

The spelling of 231313320040 in words is "two hundred thirty-one billion, three hundred thirteen million, three hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 61 88 110 122 220 244 305 440 488 610 671 1220 1231 1342 2440 2462 2684 3355 4924 5368 6155 6710 7001 9848 12310 13420 13541 14002 24620 26840 27082 28004 35005 49240 54164 56008 67705 70010 75091 77011 108328 135410 140020 150182 154022 270820 280040 300364 308044 375455 385055 427061 541640 600728 616088 750910 770110 826001 854122 1501820 1540220 1652002 1708244 2135305 3003640 3080440 3304004 3416488 4130005 4270610 4697671 6608008 8260010 8541220 8618231 9395342 16520020 17082440 17236462 18790684 23488355 33040040 34472924 37581368 43091155 46976710 68945848 86182310 93953420 94800541 172364620 187906840 189601082 344729240 379202164 474002705 525712091 758404328 948005410 1051424182 1896010820 2102848364 2628560455 3792021640 4205696728 5257120910 5782833001 10514241820 11565666002 21028483640 23131332004 28914165005 46262664008 57828330010 115656660020 231313320040