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1003211301001 = 713311129314989
BaseRepresentation
bin11101001100101000000…
…11011010000010001001
310112220110112001102022011
432212110003122002021
5112414034043113001
62044511403455521
7132323340234430
oct16462403320211
93486415042264
101003211301001
11357506697968
121425195275a1
13737aa693150
14367acb34117
151b168647d51
hexe9940da089

1003211301001 has 32 divisors (see below), whose sum is σ = 1275684300800. Its totient is φ = 767461962240.

The previous prime is 1003211300887. The next prime is 1003211301017. The reversal of 1003211301001 is 1001031123001.

It is a cyclic number.

It is not a de Polignac number, because 1003211301001 - 227 = 1003077083273 is a prime.

It is a super-2 number, since 2×10032113010012 (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 not an unprimeable number, because it can be changed into a prime (1003211301401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3027415 + ... + 3342403.

It is an arithmetic number, because the mean of its divisors is an integer number (39865134400).

Almost surely, 21003211301001 is an apocalyptic number.

It is an amenable number.

1003211301001 is a deficient number, since it is larger than the sum of its proper divisors (272472999799).

1003211301001 is a wasteful number, since it uses less digits than its factorization.

1003211301001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316169.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 1003211301001 its reverse (1001031123001), we get a palindrome (2004242424002).

The spelling of 1003211301001 in words is "one trillion, three billion, two hundred eleven million, three hundred one thousand, one".

Divisors: 1 7 13 31 91 217 403 1129 2821 7903 14677 34999 102739 244993 314989 454987 2204923 3184909 4094857 9764659 28663999 68352613 126940567 355622581 888583969 2489358067 4623093553 11024300011 32361654871 77170100077 143315900143 1003211301001