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130113023133033 = 331917771192311971
BaseRepresentation
bin11101100101011001001100…
…100001100100010101101001
3122001200200110021222100001000
4131211121030201210111221
5114023232432410224113
61140421033031545213
736256233002403033
oct3545311441442551
9561620407870030
10130113023133033
1138504694578996
121271493822b209
13577a7b41a5ab5
14241b70aa8ac53
151009811ca4373
hex76564c864569

130113023133033 has 64 divisors (see below), whose sum is σ = 203053471667200. Its totient is φ = 82116652988160.

The previous prime is 130113023133013. The next prime is 130113023133043. The reversal of 130113023133033 is 330331320311031.

130113023133033 is a `hidden beast` number, since 1 + 3 + 0 + 11 + 30 + 2 + 313 + 303 + 3 = 666.

It is not a de Polignac number, because 130113023133033 - 28 = 130113023132777 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 130113023132988 and 130113023133006.

It is not an unprimeable number, because it can be changed into a prime (130113023133013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10869012738 + ... + 10869024708.

It is an arithmetic number, because the mean of its divisors is an integer number (3172710494800).

Almost surely, 2130113023133033 is an apocalyptic number.

It is an amenable number.

130113023133033 is a deficient number, since it is larger than the sum of its proper divisors (72940448534167).

130113023133033 is a wasteful number, since it uses less digits than its factorization.

130113023133033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25699 (or 25693 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 130113023133033 its reverse (330331320311031), we get a palindrome (460444343444064).

The spelling of 130113023133033 in words is "one hundred thirty trillion, one hundred thirteen billion, twenty-three million, one hundred thirty-three thousand, thirty-three".

Divisors: 1 3 9 19 27 57 171 513 1777 5331 11923 11971 15993 33763 35769 35913 47979 101289 107307 107739 226537 227449 303867 321921 323217 679611 682347 911601 2038833 2047041 6116499 6141123 21187171 21272467 63561513 63817401 142730233 190684539 191452203 402556249 404176873 428190699 572053617 574356609 1207668747 1212530619 1284572097 2711874427 3623006241 3637591857 3853716291 8135623281 10869018723 10912775571 24406869843 73220609529 253631624041 760894872123 2282684616369 4819000856779 6848053849107 14457002570337 43371007711011 130113023133033