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10011142224 = 243269521821
BaseRepresentation
bin10010101001011010…
…11110100001010000
3221211200201201101100
421110231132201100
5131000323022344
64333221304400
7503041206366
oct112455364120
927750651340
1010011142224
114278035366
121b34865100
13c370bbbc5
146ad823636
153d8d5e569
hex254b5e850

10011142224 has 30 divisors (see below), whose sum is σ = 28017294266. Its totient is φ = 3337047360.

The previous prime is 10011142217. The next prime is 10011142231. The reversal of 10011142224 is 42224111001.

It is an interprime number because it is at equal distance from previous prime (10011142217) and next prime (10011142231).

It can be written as a sum of positive squares in only one way, i.e., 6678158400 + 3332983824 = 81720^2 + 57732^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 10011142197 and 10011142206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34760767 + ... + 34761054.

Almost surely, 210011142224 is an apocalyptic number.

It is an amenable number.

10011142224 is an abundant number, since it is smaller than the sum of its proper divisors (18006152042).

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

10011142224 is a wasteful number, since it uses less digits than its factorization.

10011142224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69521835 (or 69521826 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10011142224 its reverse (42224111001), we get a palindrome (52235253225).

The spelling of 10011142224 in words is "ten billion, eleven million, one hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 69521821 139043642 208565463 278087284 417130926 556174568 625696389 834261852 1112349136 1251392778 1668523704 2502785556 3337047408 5005571112 10011142224