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10011212224 = 261312032707
BaseRepresentation
bin10010101001011011…
…01111100111000000
3221211200212021101221
421110231233213000
5131000332242344
64333223004424
7503041620436
oct112455574700
927750767357
1010011212224
114278082a12
121b34899714
13c37114a20
146ad840d56
153d8d75184
hex254b6f9c0

10011212224 has 28 divisors (see below), whose sum is σ = 21394154824. Its totient is φ = 4620559104.

The previous prime is 10011212209. The next prime is 10011212243. The reversal of 10011212224 is 42221211001.

10011212224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10011212198 and 10011212207.

It is a congruent number.

It is an unprimeable number.

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, 6015522 + ... + 6017185.

It is an arithmetic number, because the mean of its divisors is an integer number (764076958).

Almost surely, 210011212224 is an apocalyptic number.

It is an amenable number.

10011212224 is an abundant number, since it is smaller than the sum of its proper divisors (11382942600).

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

10011212224 is a wasteful number, since it uses less digits than its factorization.

10011212224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12032732 (or 12032722 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10011212224 its reverse (42221211001), we get a palindrome (52232423225).

The spelling of 10011212224 in words is "ten billion, eleven million, two hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 12032707 24065414 48130828 96261656 156425191 192523312 312850382 385046624 625700764 770093248 1251401528 2502803056 5005606112 10011212224