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1315302012 = 2232235213049
BaseRepresentation
bin100111001100101…
…1110101001111100
310101122222021011100
41032121132221330
510143204131022
6334303253100
744410611513
oct11631365174
93348867140
101315302012
116154a9962
123085aa190
1317c664c1b
14c698567a
157a7141ac
hex4e65ea7c

1315302012 has 72 divisors (see below), whose sum is σ = 3477146400. Its totient is φ = 418429440.

The previous prime is 1315301957. The next prime is 1315302013. The reversal of 1315302012 is 2102035131.

1315302012 is a `hidden beast` number, since 131 + 530 + 2 + 0 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1315302013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 429864 + ... + 432912.

It is an arithmetic number, because the mean of its divisors is an integer number (48293700).

Almost surely, 21315302012 is an apocalyptic number.

1315302012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1315302012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1738573200).

1315302012 is an abundant number, since it is smaller than the sum of its proper divisors (2161844388).

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

1315302012 is a wasteful number, since it uses less digits than its factorization.

1315302012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3603 (or 3598 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1315302012 is about 36267.0926874488. The cubic root of 1315302012 is about 1095.6583718216.

Adding to 1315302012 its reverse (2102035131), we get a palindrome (3417337143).

The spelling of 1315302012 in words is "one billion, three hundred fifteen million, three hundred two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 521 828 1042 1563 2084 3049 3126 4689 6098 6252 9147 9378 11983 12196 18294 18756 23966 27441 35949 36588 47932 54882 70127 71898 107847 109764 140254 143796 210381 215694 280508 420762 431388 631143 841524 1262286 1588529 2524572 3177058 4765587 6354116 9531174 14296761 19062348 28593522 36536167 57187044 73072334 109608501 146144668 219217002 328825503 438434004 657651006 1315302012