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1003001330110 = 2513192775232803
BaseRepresentation
bin11101001100001111000…
…10011011100110111110
310112212220212221210101111
432212013202123212332
5112413121320030420
62044434503232234
7132315210431413
oct16460742334676
93485825853344
101003001330110
113574091146aa
1214247b14867a
1373776027610
143678ccb810a
151b154ebe45a
hexe98789b9be

1003001330110 has 128 divisors (see below), whose sum is σ = 2058660011520. Its totient is φ = 348787938816.

The previous prime is 1003001330077. The next prime is 1003001330117. The reversal of 1003001330110 is 110331003001.

It is a happy number.

It is a super-2 number, since 2×10030013301102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003001330117) 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 63 ways as a sum of consecutive naturals, for example, 357829969 + ... + 357832771.

It is an arithmetic number, because the mean of its divisors is an integer number (16083281340).

Almost surely, 21003001330110 is an apocalyptic number.

1003001330110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1003001330110 is an abundant number, since it is smaller than the sum of its proper divisors (1055658681410).

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

1003001330110 is a wasteful number, since it uses less digits than its factorization.

1003001330110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3642.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 1003001330110 its reverse (110331003001), we get a palindrome (1113332333111).

The spelling of 1003001330110 in words is "one trillion, three billion, one million, three hundred thirty thousand, one hundred ten".

Divisors: 1 2 5 10 13 19 26 38 65 95 130 190 247 277 494 523 554 1046 1235 1385 2470 2615 2770 2803 3601 5230 5263 5606 6799 7202 9937 10526 13598 14015 18005 19874 26315 28030 33995 36010 36439 49685 52630 53257 67990 68419 72878 99370 106514 129181 136838 144871 182195 258362 266285 289742 342095 364390 532570 645905 684190 692341 724355 776431 1291810 1384682 1448710 1465969 1552862 1883323 2752549 2931938 3461705 3766646 3882155 5505098 6923410 7329845 7764310 9416615 10093603 13762745 14659690 14752189 18833230 19057597 20187206 27525490 27853411 29504378 35783137 38115194 50468015 55706822 71566274 73760945 95287985 100936030 139267055 147521890 178915685 190575970 191778457 278534110 357831370 362094343 383556914 406073413 724188686 812146826 958892285 1810471715 1917784570 2030367065 3620943430 4060734130 5278954369 7715394847 10557908738 15430789694 26394771845 38576974235 52789543690 77153948470 100300133011 200600266022 501500665055 1003001330110