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130433035131 = 3375911696981
BaseRepresentation
bin111100101111001101…
…0100010101101111011
3110110200002202201011000
41321132122202231323
54114111324111011
6135530424340043
712265152335310
oct1713632425573
9413602681130
10130433035131
1150353058903
1221341914623
13c3b8811739
146454bccd07
1535d5da0356
hex1e5e6a2b7b

130433035131 has 32 divisors (see below), whose sum is σ = 224582054400. Its totient is φ = 73269882720.

The previous prime is 130433035129. The next prime is 130433035147. The reversal of 130433035131 is 131530334031.

130433035131 is a `hidden beast` number, since 1 + 304 + 3 + 3 + 0 + 351 + 3 + 1 = 666.

It is not a de Polignac number, because 130433035131 - 21 = 130433035129 is a prime.

It is a super-2 number, since 2×1304330351312 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 130433035095 and 130433035104.

It is not an unprimeable number, because it can be changed into a prime (130433035231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5837340 + ... + 5859641.

It is an arithmetic number, because the mean of its divisors is an integer number (7018189200).

Almost surely, 2130433035131 is an apocalyptic number.

130433035131 is a deficient number, since it is larger than the sum of its proper divisors (94149019269).

130433035131 is a wasteful number, since it uses less digits than its factorization.

130433035131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11697056 (or 11697050 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

Adding to 130433035131 its reverse (131530334031), we get a palindrome (261963369162).

The spelling of 130433035131 in words is "one hundred thirty billion, four hundred thirty-three million, thirty-five thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 27 59 63 177 189 413 531 1239 1593 3717 11151 11696981 35090943 81878867 105272829 245636601 315818487 690121879 736909803 2070365637 2210729409 4830853153 6211096911 14492559459 18633290733 43477678377 130433035131