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1003424141202 = 23732323119173
BaseRepresentation
bin11101001101000001011…
…11010100111110010010
310112221000100112211011120
432212200233110332102
5112420003040004302
62044544445423110
7132331533321000
oct16464057247622
93487010484146
101003424141202
1135760584a95a
1214257886aa96
13738127c49b2
14367cd0d9a70
151b17c18b9bc
hexe9a0bd4f92

1003424141202 has 128 divisors (see below), whose sum is σ = 2443425177600. Its totient is φ = 274079171520.

The previous prime is 1003424141183. The next prime is 1003424141207. The reversal of 1003424141202 is 2021414243001.

It is not an unprimeable number, because it can be changed into a prime (1003424141207) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109384288 + ... + 109393460.

It is an arithmetic number, because the mean of its divisors is an integer number (19089259200).

Almost surely, 21003424141202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003424141202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221712588800).

1003424141202 is an abundant number, since it is smaller than the sum of its proper divisors (1440001036398).

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

1003424141202 is a wasteful number, since it uses less digits than its factorization.

1003424141202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11533 (or 11519 counting only the distinct ones).

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

Adding to 1003424141202 its reverse (2021414243001), we get a palindrome (3024838384203).

The spelling of 1003424141202 in words is "one trillion, three billion, four hundred twenty-four million, one hundred forty-one thousand, two hundred two".

Divisors: 1 2 3 6 7 14 21 23 42 46 49 69 98 138 147 161 294 322 343 483 686 966 1029 1127 2058 2254 2311 3381 4622 6762 6933 7889 9173 13866 15778 16177 18346 23667 27519 32354 47334 48531 53153 55038 64211 97062 106306 113239 128422 159459 192633 210979 226478 318918 339717 372071 385266 421958 449477 632937 679434 744142 792673 898954 1116213 1265874 1348431 1476853 1585346 2232426 2378019 2604497 2696862 2953706 3146339 4430559 4756038 5208994 6292678 7813491 8861118 9439017 10337971 15626982 18231479 18878034 20675942 21198803 31013913 36462958 42397606 54694437 62027826 63596409 72365797 109388874 127192818 144731594 148391621 217097391 296783242 434194782 445174863 487572469 890349726 975144938 1038741347 1462717407 2077482694 2925434814 3116224041 3413007283 6232448082 6826014566 7271189429 10239021849 14542378858 20478043698 21813568287 23891050981 43627136574 47782101962 71673152943 143346305886 167237356867 334474713734 501712070601 1003424141202