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1331310432 = 253103134639
BaseRepresentation
bin100111101011010…
…0010111101100000
310102210002120120210
41033112202331200
510211303413212
6340034334120
744663644344
oct11726427540
93383076523
101331310432
11623543261
12311a2a340
13182a7b56a
14c8b51624
157bd2753c
hex4f5a2f60

1331310432 has 48 divisors (see below), whose sum is σ = 3528645120. Its totient is φ = 439458432.

The previous prime is 1331310427. The next prime is 1331310457. The reversal of 1331310432 is 2340131331.

1331310432 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 1331310399 and 1331310408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57432 + ... + 77207.

It is an arithmetic number, because the mean of its divisors is an integer number (73513440).

Almost surely, 21331310432 is an apocalyptic number.

1331310432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1331310432 is an abundant number, since it is smaller than the sum of its proper divisors (2197334688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1331310432 is a wasteful number, since it uses less digits than its factorization.

1331310432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134755 (or 134747 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 1331310432 is about 36487.1269354001. The cubic root of 1331310432 is about 1100.0855118096.

Adding to 1331310432 its reverse (2340131331), we get a palindrome (3671441763).

The spelling of 1331310432 in words is "one billion, three hundred thirty-one million, three hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 103 206 309 412 618 824 1236 1648 2472 3296 4944 9888 134639 269278 403917 538556 807834 1077112 1615668 2154224 3231336 4308448 6462672 12925344 13867817 27735634 41603451 55471268 83206902 110942536 166413804 221885072 332827608 443770144 665655216 1331310432