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1031340321 = 321183313401
BaseRepresentation
bin111101011110010…
…000000100100001
32122212122111221200
4331132100010201
54103010342241
6250201111413
734362151044
oct7536200441
92585574850
101031340321
1148a18a280
12249488569
1313589125b
149ad88c5b
15608224b6
hex3d790121

1031340321 has 48 divisors (see below), whose sum is σ = 1654091712. Its totient is φ = 614016000.

The previous prime is 1031340319. The next prime is 1031340347. The reversal of 1031340321 is 1230431301.

1031340321 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 340 + 321 = 666.

It is not a de Polignac number, because 1031340321 - 21 = 1031340319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1031340294 and 1031340303.

It is not an unprimeable number, because it can be changed into a prime (1031340361) 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 47 ways as a sum of consecutive naturals, for example, 2571721 + ... + 2572121.

It is an arithmetic number, because the mean of its divisors is an integer number (34460244).

Almost surely, 21031340321 is an apocalyptic number.

1031340321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1031340321 is a deficient number, since it is larger than the sum of its proper divisors (622751391).

1031340321 is a wasteful number, since it uses less digits than its factorization.

1031340321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1031340321 is about 32114.4877119346. The cubic root of 1031340321 is about 1010.3394999583.

Adding to 1031340321 its reverse (1230431301), we get a palindrome (2261771622).

The spelling of 1031340321 in words is "one billion, thirty-one million, three hundred forty thousand, three hundred twenty-one".

Divisors: 1 3 9 11 33 83 99 249 313 401 747 913 939 1203 2739 2817 3443 3609 4411 8217 10329 13233 25979 30987 33283 39699 77937 99849 125513 233811 285769 299547 366113 376539 857307 1098339 1129617 1380643 2571921 3295017 4141929 10417579 12425787 31252737 93758211 114593369 343780107 1031340321