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1003024040221 = 71941672745371
BaseRepresentation
bin11101001100010001110…
…01000100000100011101
310112212222110200120210201
432212020321010010131
5112413143123241341
62044441034103501
7132315604445560
oct16461071040435
93485873616721
101003024040221
1135741aa16095
1214248687ab91
137377a949458
1436791d0a4d7
151b156ea8331
hexe988e4411d

1003024040221 has 32 divisors (see below), whose sum is σ = 1254525189120. Its totient is φ = 782759894400.

The previous prime is 1003024040177. The next prime is 1003024040251. The reversal of 1003024040221 is 1220404203001.

It is a cyclic number.

It is not a de Polignac number, because 1003024040221 - 27 = 1003024040093 is a prime.

It is a super-2 number, since 2×10030240402212 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003024040251) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1007335 + ... + 1738036.

It is an arithmetic number, because the mean of its divisors is an integer number (39203912160).

Almost surely, 21003024040221 is an apocalyptic number.

It is an amenable number.

1003024040221 is a deficient number, since it is larger than the sum of its proper divisors (251501148899).

1003024040221 is a wasteful number, since it uses less digits than its factorization.

1003024040221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2745505.

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 1003024040221 its reverse (1220404203001), we get a palindrome (2223428243222).

The spelling of 1003024040221 in words is "one trillion, three billion, twenty-four million, forty thousand, two hundred twenty-one".

Divisors: 1 7 19 41 67 133 287 469 779 1273 2747 5453 8911 19229 52193 365351 2745371 19217597 52162049 112560211 183939857 365134343 787921477 1287578999 2138644009 3494857283 7541534137 14970508063 24464000981 52790738959 143289148603 1003024040221