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1303223031 = 321113163869
BaseRepresentation
bin100110110101101…
…1001101011110111
310100211020120220200
41031223121223313
510132111114111
6333152331543
744203133025
oct11553315367
93324216820
101303223031
116096a9830
12304543bb3
13179cc5cb6
14c511d715
157962a256
hex4dad9af7

1303223031 has 12 divisors (see below), whose sum is σ = 2053563720. Its totient is φ = 789832080.

The previous prime is 1303223027. The next prime is 1303223039.

1303223031 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1303223031 - 22 = 1303223027 is a prime.

It is a super-2 number, since 2×13032230312 = 3396780537057653922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1303222995 and 1303223013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303223039) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6581836 + ... + 6582033.

It is an arithmetic number, because the mean of its divisors is an integer number (171130310).

Almost surely, 21303223031 is an apocalyptic number.

1303223031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1303223031 is a deficient number, since it is larger than the sum of its proper divisors (750340689).

1303223031 is a wasteful number, since it uses less digits than its factorization.

1303223031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13163886 (or 13163883 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1303223031 is about 36100.1804843134. The cubic root of 1303223031 is about 1092.2940856482.

It can be divided in two parts, 13032 and 23031, that added together give a palindrome (36063).

The spelling of 1303223031 in words is "one billion, three hundred three million, two hundred twenty-three thousand, thirty-one".

Divisors: 1 3 9 11 33 99 13163869 39491607 118474821 144802559 434407677 1303223031