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1310003103321 = 3211113160772869
BaseRepresentation
bin10011000100000010010…
…001010000011001011001
311122020100100221202022100
4103010002101100121121
5132430341243301241
62441450200514013
7163434045440043
oct23040221203131
94566310852270
101310003103321
11465629666830
12191a7947b909
13966c06302a3
1447593cb8a93
15241221e79b6
hex13102450659

1310003103321 has 48 divisors (see below), whose sum is σ = 2083839488640. Its totient is φ = 786414773760.

The previous prime is 1310003103319. The next prime is 1310003103329. The reversal of 1310003103321 is 1233013000131.

It is a happy number.

1310003103321 is a `hidden beast` number, since 1 + 31 + 0 + 0 + 0 + 310 + 3 + 321 = 666.

It is not a de Polignac number, because 1310003103321 - 21 = 1310003103319 is a prime.

It is a super-2 number, since 2×13100031033212 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1310003103294 and 1310003103303.

It is not an unprimeable number, because it can be changed into a prime (1310003103329) 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, 17941075 + ... + 18013943.

It is an arithmetic number, because the mean of its divisors is an integer number (43413322680).

Almost surely, 21310003103321 is an apocalyptic number.

1310003103321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1310003103321 is a deficient number, since it is larger than the sum of its proper divisors (773836385319).

1310003103321 is a wasteful number, since it uses less digits than its factorization.

1310003103321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74606 (or 74603 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1310003103321 its reverse (1233013000131), we get a palindrome (2543016103452).

The spelling of 1310003103321 in words is "one trillion, three hundred ten billion, three million, one hundred three thousand, three hundred twenty-one".

Divisors: 1 3 9 11 33 99 113 339 1017 1243 1607 3729 4821 11187 14463 17677 53031 72869 159093 181591 218607 544773 655821 801559 1634319 1997501 2404677 5992503 7214031 8234197 17977509 24702591 74107773 90576167 117100483 271728501 351301449 815185503 1053904347 1288105313 3864315939 11592947817 13232354579 39697063737 119091191211 145555900369 436667701107 1310003103321