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1310031104 = 285396553
BaseRepresentation
bin100111000010101…
…0111110100000000
310101022001110211112
41032011113310000
510140331443404
6333554302452
744315036444
oct11605276400
93338043745
101310031104
11612529838
12306887a28
1317b53aa45
14c5db2824
157a02256e
hex4e157d00

1310031104 has 36 divisors (see below), whose sum is σ = 2664311076. Its totient is φ = 642650112.

The previous prime is 1310031097. The next prime is 1310031109. The reversal of 1310031104 is 4011300131.

It can be written as a sum of positive squares in 2 ways, for example, as 1078991104 + 231040000 = 32848^2 + 15200^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310031109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34709 + ... + 61844.

It is an arithmetic number, because the mean of its divisors is an integer number (74008641).

Almost surely, 21310031104 is an apocalyptic number.

It is an amenable number.

1310031104 is an abundant number, since it is smaller than the sum of its proper divisors (1354279972).

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

1310031104 is an frugal number, since it uses more digits than its factorization.

1310031104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96622 (or 96608 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1310031104 is about 36194.3518245596. The cubic root of 1310031104 is about 1094.1928412199.

Adding to 1310031104 its reverse (4011300131), we get a palindrome (5321331235).

The spelling of 1310031104 in words is "one billion, three hundred ten million, thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 848 1696 3392 6784 13568 96553 193106 386212 772424 1544848 3089696 5117309 6179392 10234618 12358784 20469236 24717568 40938472 81876944 163753888 327507776 655015552 1310031104