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13004441003001 = 373110321882939
BaseRepresentation
bin1011110100111101010100…
…0101100010001111111001
31201001012201212000212010010
42331033111011202033321
53201031043344044001
643354054022412133
72511353112453120
oct275172505421771
951035655025103
1013004441003001
114164174a15008
121560420b91049
1373440ca76646
1432d5bdb74ab7
1517841e4be8d6
hexbd3d51623f9

13004441003001 has 48 divisors (see below), whose sum is σ = 20656062689280. Its totient is φ = 7121572786080.

The previous prime is 13004441002979. The next prime is 13004441003011. The reversal of 13004441003001 is 10030014440031.

It is not a de Polignac number, because 13004441003001 - 26 = 13004441002937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (13004441003011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5964990 + ... + 7847928.

It is an arithmetic number, because the mean of its divisors is an integer number (430334639360).

Almost surely, 213004441003001 is an apocalyptic number.

It is an amenable number.

13004441003001 is a deficient number, since it is larger than the sum of its proper divisors (7651621686279).

13004441003001 is a wasteful number, since it uses less digits than its factorization.

13004441003001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883186 (or 1883083 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 13004441003001 its reverse (10030014440031), we get a palindrome (23034455443032).

The spelling of 13004441003001 in words is "thirteen trillion, four billion, four hundred forty-one million, three thousand, one".

Divisors: 1 3 7 21 31 93 103 217 309 651 721 2163 3193 9579 10609 22351 31827 67053 74263 222789 328879 986637 1882939 2302153 5648817 6906459 13180573 39541719 58371109 175113327 193942717 408597763 581828151 1225793289 1357599019 4072797057 6012224227 18036672681 19976099851 42085569589 59928299553 126256708767 139832698957 419498096871 619259095381 1857777286143 4334813667667 13004441003001