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231200101344 = 2534967484867
BaseRepresentation
bin1101011101010010011…
…0011001001111100000
3211002202201210001102110
43113110212121033200
512241444211220334
6254113432315320
722463232302412
oct3272446311740
9732681701373
10231200101344
118a062480123
1238984542b40
1318a572128c4
14b293a849b2
156032608ae9
hex35d49993e0

231200101344 has 48 divisors (see below), whose sum is σ = 607023704448. Its totient is φ = 77051025792.

The previous prime is 231200101343. The next prime is 231200101357. The reversal of 231200101344 is 443101002132.

231200101344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2312001013442 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 231200101344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231200101343) 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, 234399 + ... + 719265.

It is an arithmetic number, because the mean of its divisors is an integer number (12646327176).

Almost surely, 2231200101344 is an apocalyptic number.

231200101344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

231200101344 is an abundant number, since it is smaller than the sum of its proper divisors (375823603104).

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

231200101344 is a wasteful number, since it uses less digits than its factorization.

231200101344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489847 (or 489839 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 231200101344 its reverse (443101002132), we get a palindrome (674301103476).

The spelling of 231200101344 in words is "two hundred thirty-one billion, two hundred million, one hundred one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 4967 9934 14901 19868 29802 39736 59604 79472 119208 158944 238416 476832 484867 969734 1454601 1939468 2909202 3878936 5818404 7757872 11636808 15515744 23273616 46547232 2408334389 4816668778 7225003167 9633337556 14450006334 19266675112 28900012668 38533350224 57800025336 77066700448 115600050672 231200101344