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10011224431 = 1319537110771
BaseRepresentation
bin10010101001011011…
…10010100101101111
3221211200212220011001
421110231302211233
5131000333140211
64333223141131
7503042001145
oct112455624557
927750786131
1010011224431
1142780910aa
121b348a47a7
13c3711a450
146ad845595
153d8d78ac1
hex254b7296f

10011224431 has 32 divisors (see below), whose sum is σ = 11726830080. Its totient is φ = 8467804800.

The previous prime is 10011224429. The next prime is 10011224449. The reversal of 10011224431 is 13442211001.

It is not a de Polignac number, because 10011224431 - 21 = 10011224429 is a prime.

It is a super-3 number, since 3×100112244313 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10011224399 and 10011224408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011224471) 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 31 ways as a sum of consecutive naturals, for example, 924076 + ... + 934846.

It is an arithmetic number, because the mean of its divisors is an integer number (366463440).

Almost surely, 210011224431 is an apocalyptic number.

10011224431 is a deficient number, since it is larger than the sum of its proper divisors (1715605649).

10011224431 is a wasteful number, since it uses less digits than its factorization.

10011224431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10927.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 10011224431 its reverse (13442211001), we get a palindrome (23453435432).

The spelling of 10011224431 in words is "ten billion, eleven million, two hundred twenty-four thousand, four hundred thirty-one".

Divisors: 1 13 19 53 71 247 689 923 1007 1349 3763 10771 13091 17537 48919 71497 140023 204649 570863 764741 929461 2660437 7421219 9941633 10846397 14530079 40531273 141003161 188891027 526906549 770094187 10011224431