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1303102131331 = 711132100138487
BaseRepresentation
bin10010111101100110111…
…100001000110010000011
311121120112102120001102011
4102331212330020302003
5132322223121200311
62434345321033351
7163101041234140
oct22754674106203
94546472501364
101303102131331
114627081aa3a0
12190672325857
1395b609ba600
14470db5793c7
1523d6b440321
hex12f66f08c83

1303102131331 has 24 divisors (see below), whose sum is σ = 1759232957184. Its totient is φ = 937296228960.

The previous prime is 1303102131329. The next prime is 1303102131341. The reversal of 1303102131331 is 1331312013031.

It is not a de Polignac number, because 1303102131331 - 21 = 1303102131329 is a prime.

It is a super-2 number, since 2×13031021313312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1303102131341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50056231 + ... + 50082256.

It is an arithmetic number, because the mean of its divisors is an integer number (73301373216).

Almost surely, 21303102131331 is an apocalyptic number.

1303102131331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1303102131331 is a deficient number, since it is larger than the sum of its proper divisors (456130825853).

1303102131331 is a wasteful number, since it uses less digits than its factorization.

1303102131331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100138531 (or 100138518 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 1303102131331 its reverse (1331312013031), we get a palindrome (2634414144362).

The spelling of 1303102131331 in words is "one trillion, three hundred three billion, one hundred two million, one hundred thirty-one thousand, three hundred thirty-one".

Divisors: 1 7 11 13 77 91 143 169 1001 1183 1859 13013 100138487 700969409 1101523357 1301800331 7710663499 9112602317 14319803641 16923404303 100238625487 118463830121 186157447333 1303102131331