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42130034221 = 1123977091237
BaseRepresentation
bin100111001111001001…
…010100111000101101
311000202010002111010211
4213033021110320231
51142240242043341
631204304502421
73021010245052
oct471711247055
9130663074124
1042130034221
111695a340300
1281b931aa11
133c85457b42
142079435029
1511689d3181
hex9cf254e2d

42130034221 has 24 divisors (see below), whose sum is σ = 46527927320. Its totient is φ = 38118833280.

The previous prime is 42130034213. The next prime is 42130034249. The reversal of 42130034221 is 12243003124.

It can be written as a sum of positive squares in 4 ways, for example, as 6624169321 + 35505864900 = 81389^2 + 188430^2 .

It is not a de Polignac number, because 42130034221 - 23 = 42130034213 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42130034192 and 42130034201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42130034281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34057615 + ... + 34058851.

Almost surely, 242130034221 is an apocalyptic number.

It is an amenable number.

42130034221 is a deficient number, since it is larger than the sum of its proper divisors (4397893099).

42130034221 is a wasteful number, since it uses less digits than its factorization.

42130034221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2365 (or 2354 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 42130034221 its reverse (12243003124), we get a palindrome (54373037345).

The spelling of 42130034221 in words is "forty-two billion, one hundred thirty million, thirty-four thousand, two hundred twenty-one".

Divisors: 1 11 121 397 709 1237 4367 7799 13607 48037 85789 149677 281473 491089 877033 3096203 5401979 9647363 34058233 59421769 106120993 348182101 3830003111 42130034221