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10233201312 = 253311843983
BaseRepresentation
bin10011000011111001…
…00100001010100000
3222102011120111012000
421201330210022200
5131424144420222
64411233004000
7511405530105
oct114174441240
928364514160
1010233201312
114381414674
121b970b3600
13c710ca909
146d1108aac
153ed5c49ac
hex261f242a0

10233201312 has 48 divisors (see below), whose sum is σ = 29846839680. Its totient is φ = 3411066816.

The previous prime is 10233201311. The next prime is 10233201343. The reversal of 10233201312 is 21310233201.

10233201312 is a `hidden beast` number, since 10 + 23 + 320 + 1 + 312 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10233201311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5921128 + ... + 5922855.

It is an arithmetic number, because the mean of its divisors is an integer number (621809160).

Almost surely, 210233201312 is an apocalyptic number.

10233201312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10233201312 is an abundant number, since it is smaller than the sum of its proper divisors (19613638368).

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

10233201312 is a wasteful number, since it uses less digits than its factorization.

10233201312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11844002 (or 11843988 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10233201312 its reverse (21310233201), we get a palindrome (31543434513).

The spelling of 10233201312 in words is "ten billion, two hundred thirty-three million, two hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 11843983 23687966 35531949 47375932 71063898 94751864 106595847 142127796 189503728 213191694 284255592 319787541 379007456 426383388 568511184 639575082 852766776 1137022368 1279150164 1705533552 2558300328 3411067104 5116600656 10233201312