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10511013312 = 263259309293
BaseRepresentation
bin10011100101000000…
…10101010111000000
31000010112022210121100
421302200111113000
5133011304411222
64454555254400
7521321065452
oct116240252700
930115283540
1010511013312
114504213968
12205414a400
13cb682a407
14719d842d2
15417b9e4ac
hex2728155c0

10511013312 has 84 divisors (see below), whose sum is σ = 30638663640. Its totient is φ = 3444275712.

The previous prime is 10511013299. The next prime is 10511013329. The reversal of 10511013312 is 21331011501.

10511013312 is a `hidden beast` number, since 10 + 511 + 0 + 133 + 12 = 666.

It is a super-2 number, since 2×105110133122 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 120663 + ... + 188630.

Almost surely, 210511013312 is an apocalyptic number.

10511013312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10511013312 is an abundant number, since it is smaller than the sum of its proper divisors (20127650328).

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

10511013312 is a wasteful number, since it uses less digits than its factorization.

10511013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309370 (or 309357 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

Adding to 10511013312 its reverse (21331011501), we get a palindrome (31842024813).

The spelling of 10511013312 in words is "ten billion, five hundred eleven million, thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 64 72 96 118 144 177 192 236 288 354 472 531 576 708 944 1062 1416 1888 2124 2832 3776 4248 5664 8496 11328 16992 33984 309293 618586 927879 1237172 1855758 2474344 2783637 3711516 4948688 5567274 7423032 9897376 11134548 14846064 18248287 19794752 22269096 29692128 36496574 44538192 54744861 59384256 72993148 89076384 109489722 145986296 164234583 178152768 218979444 291972592 328469166 437958888 583945184 656938332 875917776 1167890368 1313876664 1751835552 2627753328 3503671104 5255506656 10511013312