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130133110401 = 32731475924029
BaseRepresentation
bin111100100110010001…
…0011010111010000001
3110102220012101221202200
41321030202122322001
54113003034013101
6135440552103413
712254551121220
oct1711442327201
9412805357680
10130133110401
1150209825a28
1221279394b69
13c36b63bc98
146427038cb7
1535b98a8986
hex1e4c89ae81

130133110401 has 96 divisors (see below), whose sum is σ = 230318899200. Its totient is φ = 69235240320.

The previous prime is 130133110397. The next prime is 130133110417. The reversal of 130133110401 is 104011331031.

130133110401 is a `hidden beast` number, since 130 + 133 + 1 + 1 + 0 + 401 = 666.

It is not a de Polignac number, because 130133110401 - 22 = 130133110397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (130133110001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5403655 + ... + 5427683.

It is an arithmetic number, because the mean of its divisors is an integer number (2399155200).

Almost surely, 2130133110401 is an apocalyptic number.

It is an amenable number.

130133110401 is a deficient number, since it is larger than the sum of its proper divisors (100185788799).

130133110401 is a wasteful number, since it uses less digits than its factorization.

130133110401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24179 (or 24176 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 130133110401 its reverse (104011331031), we get a palindrome (234144441432).

The spelling of 130133110401 in words is "one hundred thirty billion, one hundred thirty-three million, one hundred ten thousand, four hundred one".

Divisors: 1 3 7 9 21 31 47 59 63 93 141 177 217 279 329 413 423 531 651 987 1239 1457 1829 1953 2773 2961 3717 4371 5487 8319 10199 12803 13113 16461 19411 24029 24957 30597 38409 58233 72087 85963 91791 115227 168203 174699 216261 257889 504609 601741 744899 773667 1129363 1417711 1513827 1805223 2234697 3388089 4253133 5214293 5415669 6704091 7905541 9923977 10164267 12759399 15642879 23716623 29771931 35010253 43949041 46928637 66632417 71149869 89315793 105030759 131847123 199897251 245071771 307643287 315092277 395541369 466426919 599691753 735215313 922929861 1399280757 2065604927 2205645939 2768789583 4197842271 6196814781 14459234489 18590444343 43377703467 130133110401