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13201125056 = 267173674723
BaseRepresentation
bin11000100101101100…
…10010111011000000
31021002000020122011122
430102312102323000
5204013442000211
610021533531412
7645064466030
oct142266227300
937060218148
1013201125056
115664766709
122685043b68
131324c61102
148d33618c0
15523e2e6db
hex312d92ec0

13201125056 has 112 divisors (see below), whose sum is σ = 31792444416. Its totient is φ = 5309190144.

The previous prime is 13201125053. The next prime is 13201125079. The reversal of 13201125056 is 65052110231.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (13201125053) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2792711 + ... + 2797433.

Almost surely, 213201125056 is an apocalyptic number.

13201125056 is a gapful number since it is divisible by the number (16) 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 13201125056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15896222208).

13201125056 is an abundant number, since it is smaller than the sum of its proper divisors (18591319360).

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

13201125056 is a wasteful number, since it uses less digits than its factorization.

13201125056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5126 (or 5116 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

Adding to 13201125056 its reverse (65052110231), we get a palindrome (78253235287).

The spelling of 13201125056 in words is "thirteen billion, two hundred one million, one hundred twenty-five thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 224 238 272 367 448 476 544 734 952 1088 1468 1904 2569 2936 3808 4723 5138 5872 6239 7616 9446 10276 11744 12478 18892 20552 23488 24956 33061 37784 41104 43673 49912 66122 75568 80291 82208 87346 99824 132244 151136 160582 164416 174692 199648 264488 302272 321164 349384 399296 528976 562037 642328 698768 1057952 1124074 1284656 1397536 1733341 2115904 2248148 2569312 2795072 3466682 4496296 5138624 6933364 8992592 12133387 13866728 17985184 24266774 27733456 29466797 35970368 48533548 55466912 58933594 97067096 110933824 117867188 194134192 206267579 235734376 388268384 412535158 471468752 776536768 825070316 942937504 1650140632 1885875008 3300281264 6600562528 13201125056