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1300032012123 = 3213107389266953
BaseRepresentation
bin10010111010101111111…
…100100011111101011011
311121021121110120211121100
4102322233330203331123
5132244431143341443
62433120525442443
7162632001530235
oct22725774437533
94537543524540
101300032012123
114613821a7399
1218bb56110423
1395791925220
1446cc991d255
1523c3bb4a3d3
hex12eaff23f5b

1300032012123 has 48 divisors (see below), whose sum is σ = 2046426651360. Its totient is φ = 790502533632.

The previous prime is 1300032012077. The next prime is 1300032012131. The reversal of 1300032012123 is 3212102300031.

1300032012123 is a `hidden beast` number, since 1 + 300 + 0 + 320 + 1 + 21 + 23 = 666.

It is not a de Polignac number, because 1300032012123 - 29 = 1300032011611 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1300032012096 and 1300032012105.

It is not an unprimeable number, because it can be changed into a prime (1300032011123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4736415 + ... + 5003367.

It is an arithmetic number, because the mean of its divisors is an integer number (42633888570).

Almost surely, 21300032012123 is an apocalyptic number.

1300032012123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1300032012123 is a deficient number, since it is larger than the sum of its proper divisors (746394639237).

1300032012123 is a wasteful number, since it uses less digits than its factorization.

1300032012123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267468 (or 267465 counting only the distinct ones).

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

Adding to 1300032012123 its reverse (3212102300031), we get a palindrome (4512134312154).

The spelling of 1300032012123 in words is "one trillion, three hundred billion, thirty-two million, twelve thousand, one hundred twenty-three".

Divisors: 1 3 9 13 39 107 117 321 389 963 1167 1391 3501 4173 5057 12519 15171 41623 45513 124869 266953 374607 541099 800859 1623297 2402577 3470389 4869891 10411167 28563971 31233501 85691913 103844717 257075739 311534151 371331623 934602453 1113994869 1349981321 3341984607 4049943963 11111384719 12149831889 33334154157 100002462471 144448001347 433344004041 1300032012123