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231303440020 = 22546125087141
BaseRepresentation
bin1101011101101011000…
…0100110011010010100
3211010000221020012102211
43113122300212122110
512242202140040040
6254132003243204
722465625541352
oct3273260463224
9733027205384
10231303440020
118a105841a94
12389b3079504
1318a72754c53
14b2a36a47d2
15603b71c8ea
hex35dac26694

231303440020 has 24 divisors (see below), whose sum is σ = 486790903368. Its totient is φ = 92320675200.

The previous prime is 231303440003. The next prime is 231303440029. The reversal of 231303440020 is 20044303132.

It is a happy number.

231303440020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 42685212816 + 188618227204 = 206604^2 + 434302^2 .

It is a junction number, because it is equal to n+sod(n) for n = 231303439973 and 231303440000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231303440029) 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 7 ways as a sum of consecutive naturals, for example, 12534351 + ... + 12552790.

It is an arithmetic number, because the mean of its divisors is an integer number (20282954307).

Almost surely, 2231303440020 is an apocalyptic number.

231303440020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231303440020 is an abundant number, since it is smaller than the sum of its proper divisors (255487463348).

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

231303440020 is a wasteful number, since it uses less digits than its factorization.

231303440020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25087611 (or 25087609 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 231303440020 its reverse (20044303132), we get a palindrome (251347743152).

The spelling of 231303440020 in words is "two hundred thirty-one billion, three hundred three million, four hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 20 461 922 1844 2305 4610 9220 25087141 50174282 100348564 125435705 250871410 501742820 11565172001 23130344002 46260688004 57825860005 115651720010 231303440020