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1003144224104 = 2311971009116471
BaseRepresentation
bin11101001100100000000…
…11100001110101101000
310112220021211211120002122
432212100003201311220
5112413414410132404
62044501010050412
7132321564134111
oct16462003416550
93486254746078
101003144224104
11357481843010
121424bab79a08
1373799808c89
14367a3c73208
151b1627e83be
hexe9900e1d68

1003144224104 has 64 divisors (see below), whose sum is σ = 2075111740800. Its totient is φ = 450822758400.

The previous prime is 1003144224101. The next prime is 1003144224127. The reversal of 1003144224104 is 4014224413001.

It is not an unprimeable number, because it can be changed into a prime (1003144224101) 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 15 ways as a sum of consecutive naturals, for example, 8554589 + ... + 8671059.

It is an arithmetic number, because the mean of its divisors is an integer number (32423620950).

Almost surely, 21003144224104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003144224104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037555870400).

1003144224104 is an abundant number, since it is smaller than the sum of its proper divisors (1071967516696).

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

1003144224104 is a wasteful number, since it uses less digits than its factorization.

1003144224104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117594 (or 117590 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 1003144224104 its reverse (4014224413001), we get a palindrome (5017368637105).

The spelling of 1003144224104 in words is "one trillion, three billion, one hundred forty-four million, two hundred twenty-four thousand, one hundred four".

Divisors: 1 2 4 8 11 22 44 88 97 194 388 776 1009 1067 2018 2134 4036 4268 8072 8536 11099 22198 44396 88792 97873 116471 195746 232942 391492 465884 782984 931768 1076603 1281181 2153206 2562362 4306412 5124724 8612824 10249448 11297687 22595374 45190748 90381496 117519239 124274557 235038478 248549114 470076956 497098228 940153912 994196456 1292711629 2585423258 5170846516 10341693032 11399366183 22798732366 45597464732 91194929464 125393028013 250786056026 501572112052 1003144224104