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231024520400 = 24524114086861
BaseRepresentation
bin1101011100101000100…
…0100110110011010000
3211002022111101121122112
43113022020212303100
512241114234123100
6254044201124452
722456001010542
oct3271210466320
9732274347575
10231024520400
1189a82356603
1238935789728
1318a29a2825b
14b27861b692
156021ec4b35
hex35ca226cd0

231024520400 has 60 divisors (see below), whose sum is σ = 568573924044. Its totient is φ = 90155904000.

The previous prime is 231024520381. The next prime is 231024520403. The reversal of 231024520400 is 4025420132.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 67556327056 + 163468193344 = 259916^2 + 404312^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231024520403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7027031 + ... + 7059830.

Almost surely, 2231024520400 is an apocalyptic number.

231024520400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231024520400 is an abundant number, since it is smaller than the sum of its proper divisors (337549403644).

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

231024520400 is a wasteful number, since it uses less digits than its factorization.

231024520400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14086920 (or 14086909 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 231024520400 its reverse (4025420132), we get a palindrome (235049940532).

The spelling of 231024520400 in words is "two hundred thirty-one billion, twenty-four million, five hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 164 200 205 328 400 410 656 820 1025 1640 2050 3280 4100 8200 16400 14086861 28173722 56347444 70434305 112694888 140868610 225389776 281737220 352171525 563474440 577561301 704343050 1126948880 1155122602 1408686100 2310245204 2817372200 2887806505 4620490408 5634744400 5775613010 9240980816 11551226020 14439032525 23102452040 28878065050 46204904080 57756130100 115512260200 231024520400