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231301231320 = 233514271350743
BaseRepresentation
bin1101011101101010100…
…0001011001011011000
3211010000210001222200010
43113122220023023120
512242201103400240
6254131444041520
722465601012115
oct3273250131330
9733023058603
10231301231320
118a104573615
12389b23932a0
1318a72160823
14b2a328b90c
15603b433280
hex35daa0b2d8

231301231320 has 64 divisors (see below), whose sum is σ = 694390475520. Its totient is φ = 61637058944.

The previous prime is 231301231253. The next prime is 231301231321. The reversal of 231301231320 is 23132103132.

231301231320 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 2×2313012313202 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231301231321) by changing a digit.

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, 504132 + ... + 846611.

It is an arithmetic number, because the mean of its divisors is an integer number (10849851180).

Almost surely, 2231301231320 is an apocalyptic number.

231301231320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231301231320 is an abundant number, since it is smaller than the sum of its proper divisors (463089244200).

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

231301231320 is a wasteful number, since it uses less digits than its factorization.

231301231320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352184 (or 1352180 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 231301231320 its reverse (23132103132), we get a palindrome (254433334452).

The spelling of 231301231320 in words is "two hundred thirty-one billion, three hundred one million, two hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1427 2854 4281 5708 7135 8562 11416 14270 17124 21405 28540 34248 42810 57080 85620 171240 1350743 2701486 4052229 5402972 6753715 8104458 10805944 13507430 16208916 20261145 27014860 32417832 40522290 54029720 81044580 162089160 1927510261 3855020522 5782530783 7710041044 9637551305 11565061566 15420082088 19275102610 23130123132 28912653915 38550205220 46260246264 57825307830 77100410440 115650615660 231301231320