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1003001109999 = 3723193101910559
BaseRepresentation
bin11101001100001111000…
…01100101110111101111
310112212220212112121110020
432212013201211313233
5112413121241004444
62044434454413223
7132315205523610
oct16460741456757
93485825477406
101003001109999
11357408a84299
1214247b061213
1373775c7b385
143678cc5bc07
151b154e79119
hexe987865def

1003001109999 has 64 divisors (see below), whose sum is σ = 1604822630400. Its totient is φ = 544796854272.

The previous prime is 1003001109991. The next prime is 1003001110037. The reversal of 1003001109999 is 9999011003001.

It is not a de Polignac number, because 1003001109999 - 23 = 1003001109991 is a prime.

It is a super-4 number, since 4×10030011099994 (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1003001109999.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003001109991) 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, 94984882 + ... + 94995440.

It is an arithmetic number, because the mean of its divisors is an integer number (25075353600).

Almost surely, 21003001109999 is an apocalyptic number.

1003001109999 is a deficient number, since it is larger than the sum of its proper divisors (601821520401).

1003001109999 is a wasteful number, since it uses less digits than its factorization.

1003001109999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11804.

The product of its (nonzero) digits is 19683, while the sum is 42.

The spelling of 1003001109999 in words is "one trillion, three billion, one million, one hundred nine thousand, nine hundred ninety-nine".

Divisors: 1 3 7 21 23 69 161 193 483 579 1019 1351 3057 4053 4439 7133 10559 13317 21399 23437 31073 31677 70311 73913 93219 164059 196667 221739 242857 492177 590001 728571 1376669 1699999 2037887 4130007 4523341 5099997 6113661 10759621 13570023 14265209 31663387 32278863 42795627 46871401 75317347 94990161 140614203 225952041 247471283 328099807 742413849 984299421 1732298981 2076606853 5196896943 6229820559 14536247971 43608743913 47761957619 143285872857 334333703333 1003001109999