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1003000130331 = 35919367343627
BaseRepresentation
bin11101001100001110111…
…01110110101100011011
310112212220210200211121020
432212013131312230123
5112413121013132311
62044434421413523
7132315164303463
oct16460735665433
93485823624536
101003000130331
11357408475251
1214247a86a2a3
13737759c74a4
143678ca84ba3
151b154d33c06
hexe987776b1b

1003000130331 has 32 divisors (see below), whose sum is σ = 1369109464320. Its totient is φ = 652940918784.

The previous prime is 1003000130309. The next prime is 1003000130359. The reversal of 1003000130331 is 1330310003001.

It is not a de Polignac number, because 1003000130331 - 219 = 1002999606043 is a prime.

It is a super-4 number, since 4×10030001303314 (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 1003000130331.

It is not an unprimeable number, because it can be changed into a prime (1003000130831) 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, 22968540 + ... + 23012166.

It is an arithmetic number, because the mean of its divisors is an integer number (42784670760).

Almost surely, 21003000130331 is an apocalyptic number.

1003000130331 is a deficient number, since it is larger than the sum of its proper divisors (366109333989).

1003000130331 is a wasteful number, since it uses less digits than its factorization.

1003000130331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44555.

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 1003000130331 its reverse (1330310003001), we get a palindrome (2333310133332).

The spelling of 1003000130331 in words is "one trillion, three billion, one hundred thirty thousand, three hundred thirty-one".

Divisors: 1 3 59 177 193 579 673 2019 11387 34161 39707 43627 119121 129889 130881 389667 2573993 7663451 7721979 8420011 22990353 25260033 29360971 88082913 496780649 1490341947 1732297289 5196891867 5666667403 17000002209 334333376777 1003000130331