Search a number
-
+
1003221303029 = 112234147187069
BaseRepresentation
bin11101001100101001010…
…01100011111011110101
310112220111012212120111122
432212110221203323311
5112414044123144104
62044512402113325
7132323521243031
oct16462451437365
93486435776448
101003221303029
113575112a9600
1214252094b845
13737ac7858ca
14367b01b91c1
151b1694716be
hexe994a63ef5

1003221303029 has 48 divisors (see below), whose sum is σ = 1203808919040. Its totient is φ = 832976390400.

The previous prime is 1003221303017. The next prime is 1003221303079. The reversal of 1003221303029 is 9203031223001.

It is not a de Polignac number, because 1003221303029 - 228 = 1002952867573 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1003221302989 and 1003221303007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003221303079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5269307 + ... + 5456375.

It is an arithmetic number, because the mean of its divisors is an integer number (25079352480).

Almost surely, 21003221303029 is an apocalyptic number.

It is an amenable number.

1003221303029 is a deficient number, since it is larger than the sum of its proper divisors (200587616011).

1003221303029 is a wasteful number, since it uses less digits than its factorization.

1003221303029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187202 (or 187191 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

The spelling of 1003221303029 in words is "one trillion, three billion, two hundred twenty-one million, three hundred three thousand, twenty-nine".

Divisors: 1 11 23 41 47 121 253 451 517 943 1081 1927 2783 4961 5687 10373 11891 21197 44321 114103 130801 187069 233167 487531 2057759 4302587 5362841 7669829 8792243 22635349 47328457 84368119 96714673 176406067 202221589 360481963 520613027 928049309 1063861403 1940466737 2224437479 3965301593 8291085149 21345134107 24468812269 43618317523 91201936639 1003221303029