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1002240304431 = 331101181589507
BaseRepresentation
bin11101001010110100010…
…11010110010100101111
310112210221211221200102020
432211122023112110233
5112410042004220211
62044231200001223
7132260310011562
oct16453213262457
93483854850366
101002240304431
11357058583863
121422a8300213
137368446c472
1436719bb64d9
151b10d295306
hexe95a2d652f

1002240304431 has 32 divisors (see below), whose sum is σ = 1400784193536. Its totient is φ = 636666480000.

The previous prime is 1002240304427. The next prime is 1002240304441. The reversal of 1002240304431 is 1344030422001.

It is not a de Polignac number, because 1002240304431 - 22 = 1002240304427 is a prime.

It is a super-2 number, since 2×10022403044312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002240304441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1405380 + ... + 1994886.

It is an arithmetic number, because the mean of its divisors is an integer number (43774506048).

Almost surely, 21002240304431 is an apocalyptic number.

1002240304431 is a deficient number, since it is larger than the sum of its proper divisors (398543889105).

1002240304431 is a wasteful number, since it uses less digits than its factorization.

1002240304431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589823.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1002240304431 its reverse (1344030422001), we get a palindrome (2346270726432).

The spelling of 1002240304431 in words is "one trillion, two billion, two hundred forty million, three hundred four thousand, four hundred thirty-one".

Divisors: 1 3 31 93 101 181 303 543 3131 5611 9393 16833 18281 54843 566711 589507 1700133 1768521 18274717 54824151 59540207 106700767 178620621 320102301 1845746417 3307723777 5537239251 9923171331 10776777467 32330332401 334080101477 1002240304431