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10322054112 = 253107521397
BaseRepresentation
bin10011001110011111…
…00000101111100000
3222122100202200022110
421213033200233200
5132114421212422
64424125235320
7513535004136
oct114717405740
928570680273
1010322054112
114417592037
122000a02b40
13c8663a636
146dcc37756
154062c660c
hex2673e0be0

10322054112 has 24 divisors (see below), whose sum is σ = 27095392296. Its totient is φ = 3440684672.

The previous prime is 10322054111. The next prime is 10322054123. The reversal of 10322054112 is 21145022301.

10322054112 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 (24).

It is a super-2 number, since 2×103220541122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10322054111) 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 3 ways as a sum of consecutive naturals, for example, 53760603 + ... + 53760794.

It is an arithmetic number, because the mean of its divisors is an integer number (1128974679).

Almost surely, 210322054112 is an apocalyptic number.

10322054112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10322054112 is an abundant number, since it is smaller than the sum of its proper divisors (16773338184).

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

10322054112 is a wasteful number, since it uses less digits than its factorization.

10322054112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107521410 (or 107521402 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 10322054112 its reverse (21145022301), we get a palindrome (31467076413).

The spelling of 10322054112 in words is "ten billion, three hundred twenty-two million, fifty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 107521397 215042794 322564191 430085588 645128382 860171176 1290256764 1720342352 2580513528 3440684704 5161027056 10322054112