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130214441133 = 347317408229
BaseRepresentation
bin111100101000101100…
…0101011000010101101
3110110002212102222120000
41321101120223002231
54113134344104013
6135453015214513
712256556326110
oct1712130530255
9413085388500
10130214441133
1150250725a07
12212a0677439
13c382446c8a
146433b6a577
1535c1ac1973
hex1e5162b0ad

130214441133 has 40 divisors (see below), whose sum is σ = 229477332480. Its totient is φ = 72007976160.

The previous prime is 130214441113. The next prime is 130214441207. The reversal of 130214441133 is 331144412031.

130214441133 is a `hidden beast` number, since 1 + 3 + 0 + 214 + 4 + 411 + 33 = 666.

It is not a de Polignac number, because 130214441133 - 28 = 130214440877 is a prime.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 130214441097 and 130214441106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130214441113) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3686538 + ... + 3721691.

It is an arithmetic number, because the mean of its divisors is an integer number (5736933312).

Almost surely, 2130214441133 is an apocalyptic number.

It is an amenable number.

130214441133 is a deficient number, since it is larger than the sum of its proper divisors (99262891347).

130214441133 is an equidigital number, since it uses as much as digits as its factorization.

130214441133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7408279 (or 7408270 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 130214441133 its reverse (331144412031), we get a palindrome (461358853164).

The spelling of 130214441133 in words is "one hundred thirty billion, two hundred fourteen million, four hundred forty-one thousand, one hundred thirty-three".

Divisors: 1 3 7 9 21 27 31 63 81 93 189 217 279 567 651 837 1953 2511 5859 17577 7408229 22224687 51857603 66674061 155572809 200022183 229655099 466718427 600066549 688965297 1400155281 1607585693 2066895891 4200465843 4822757079 6200687673 14468271237 18602063019 43404813711 130214441133