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1010143024224 = 25310522323169
BaseRepresentation
bin11101011001100010011…
…01110101010001100000
310120120100121022102221220
432230301031311101200
5113022233103233344
62052015302415040
7132660200015145
oct16546115652140
93516317272856
101010143024224
1135a443448144
12143932a31480
13743437b1a19
1436c6959a3cc
151b421e76c19
hexeb31375460

1010143024224 has 24 divisors (see below), whose sum is σ = 2651625438840. Its totient is φ = 336714341376.

The previous prime is 1010143024193. The next prime is 1010143024361. The reversal of 1010143024224 is 4224203410101.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1010143024194 and 1010143024203.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 5261161489 + ... + 5261161680.

It is an arithmetic number, because the mean of its divisors is an integer number (110484393285).

Almost surely, 21010143024224 is an apocalyptic number.

It is an amenable number.

1010143024224 is an abundant number, since it is smaller than the sum of its proper divisors (1641482414616).

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

1010143024224 is a wasteful number, since it uses less digits than its factorization.

1010143024224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10522323182 (or 10522323174 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1010143024224 its reverse (4224203410101), we get a palindrome (5234346434325).

The spelling of 1010143024224 in words is "one trillion, ten billion, one hundred forty-three million, twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 10522323169 21044646338 31566969507 42089292676 63133939014 84178585352 126267878028 168357170704 252535756056 336714341408 505071512112 1010143024224