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1302312141 = 331322312409
BaseRepresentation
bin100110110011111…
…1011010011001101
310100202112022102000
41031213323103031
510131342442031
6333121022513
744162320254
oct11547732315
93322468360
101302312141
11609137429
12304184a39
13179a67500
14c4d6379b
15794ea3e6
hex4d9fb4cd

1302312141 has 48 divisors (see below), whose sum is σ = 2180188800. Its totient is φ = 766516608.

The previous prime is 1302312103. The next prime is 1302312161. The reversal of 1302312141 is 1412132031.

It is a de Polignac number, because none of the positive numbers 2k-1302312141 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1302312101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98745 + ... + 111153.

It is an arithmetic number, because the mean of its divisors is an integer number (45420600).

Almost surely, 21302312141 is an apocalyptic number.

It is an amenable number.

1302312141 is a deficient number, since it is larger than the sum of its proper divisors (877876659).

1302312141 is a wasteful number, since it uses less digits than its factorization.

1302312141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12467 (or 12448 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1302312141 is about 36087.5621371131. The cubic root of 1302312141 is about 1092.0395393847.

Adding to 1302312141 its reverse (1412132031), we get a palindrome (2714444172).

The spelling of 1302312141 in words is "one billion, three hundred two million, three hundred twelve thousand, one hundred forty-one".

Divisors: 1 3 9 13 23 27 39 69 117 169 207 299 351 507 621 897 1521 2691 3887 4563 8073 11661 12409 34983 37227 104949 111681 161317 285407 335043 483951 856221 1451853 2097121 2568663 3710291 4355559 6291363 7705989 11130873 18874089 33392619 48233783 56622267 100177857 144701349 434104047 1302312141