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13130300034312 = 23313071408329723
BaseRepresentation
bin1011111100010010001011…
…0111101000110100001000
31201111020121012000002121020
42333010202313220310020
53210111323302044222
643531550534312440
72523430034540346
oct277044267506410
951436535002536
1013130300034312
11420259007706a
1215808a6ab8720
13743249a70536
1433571d2b2996
1517b838a1465c
hexbf122de8d08

13130300034312 has 64 divisors (see below), whose sum is σ = 32854303399680. Its totient is φ = 4372960291392.

The previous prime is 13130300034287. The next prime is 13130300034343. The reversal of 13130300034312 is 21343000303131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 441740683 + ... + 441770405.

It is an arithmetic number, because the mean of its divisors is an integer number (513348490620).

Almost surely, 213130300034312 is an apocalyptic number.

13130300034312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13130300034312 is an abundant number, since it is smaller than the sum of its proper divisors (19724003365368).

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

13130300034312 is a wasteful number, since it uses less digits than its factorization.

13130300034312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45122 (or 45118 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 13130300034312 its reverse (21343000303131), we get a palindrome (34473300337443).

The spelling of 13130300034312 in words is "thirteen trillion, one hundred thirty billion, three hundred million, thirty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 1307 2614 3921 5228 7842 10456 14083 15684 28166 29723 31368 42249 56332 59446 84498 89169 112664 118892 168996 178338 237784 337992 356676 713352 18406481 36812962 38847961 55219443 73625924 77695922 110438886 116543883 147251848 155391844 220877772 233087766 310783688 418589009 441755544 466175532 837178018 932351064 1255767027 1674356036 2511534054 3348712072 5023068108 10046136216 547095834763 1094191669526 1641287504289 2188383339052 3282575008578 4376766678104 6565150017156 13130300034312