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10283122272 = 253591815523
BaseRepresentation
bin10011001001110101…
…11111111001100000
3222112122111201212110
421210322333321200
5132024434403042
64420214555320
7512553045213
oct114472777140
928478451773
1010283122272
1143a7610a65
121bab968b40
13c7b559047
146d79c177a
15402b8609c
hex264ebfe60

10283122272 has 48 divisors (see below), whose sum is σ = 27450722880. Its totient is φ = 3369608832.

The previous prime is 10283122181. The next prime is 10283122273. The reversal of 10283122272 is 27222138201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10283122273) 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, 902098 + ... + 913425.

It is an arithmetic number, because the mean of its divisors is an integer number (571890060).

Almost surely, 210283122272 is an apocalyptic number.

10283122272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10283122272 is an abundant number, since it is smaller than the sum of its proper divisors (17167600608).

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

10283122272 is a wasteful number, since it uses less digits than its factorization.

10283122272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1815595 (or 1815587 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 10283122272 in words is "ten billion, two hundred eighty-three million, one hundred twenty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 354 472 708 944 1416 1888 2832 5664 1815523 3631046 5446569 7262092 10893138 14524184 21786276 29048368 43572552 58096736 87145104 107115857 174290208 214231714 321347571 428463428 642695142 856926856 1285390284 1713853712 2570780568 3427707424 5141561136 10283122272