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130121315433 = 343743417189
BaseRepresentation
bin111100100101111010…
…1011011010001101001
3110102212101012201010000
41321023311123101221
54112442024043213
6135435451213213
712254345634444
oct1711365332151
9412771181100
10130121315433
11502030aa21a
1221275447209
13c36906c405
14642564865b
1535b8828c73
hex1e4bd5b469

130121315433 has 20 divisors (see below), whose sum is σ = 199632239620. Its totient is φ = 84403013472.

The previous prime is 130121315381. The next prime is 130121315437. The reversal of 130121315433 is 334513121031.

130121315433 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 213 + 15 + 433 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 46179001449 + 83942313984 = 214893^2 + 289728^2 .

It is a de Polignac number, because none of the positive numbers 2k-130121315433 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 = 130121315397 and 130121315406.

It is not an unprimeable number, because it can be changed into a prime (130121315437) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21705598 + ... + 21711591.

It is an arithmetic number, because the mean of its divisors is an integer number (9981611981).

Almost surely, 2130121315433 is an apocalyptic number.

It is an amenable number.

130121315433 is a deficient number, since it is larger than the sum of its proper divisors (69510924187).

130121315433 is an equidigital number, since it uses as much as digits as its factorization.

130121315433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43417238 (or 43417229 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 130121315433 its reverse (334513121031), we get a palindrome (464634436464).

The spelling of 130121315433 in words is "one hundred thirty billion, one hundred twenty-one million, three hundred fifteen thousand, four hundred thirty-three".

Divisors: 1 3 9 27 37 81 111 333 999 2997 43417189 130251567 390754701 1172264103 1606435993 3516792309 4819307979 14457923937 43373771811 130121315433