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42100430130 = 233511172928753
BaseRepresentation
bin100111001101011000…
…011001010100110010
311000200001101102222000
4213031120121110302
51142210202231010
631201330154430
73020200515543
oct471530312462
9130601342860
1042100430130
1116944660310
1281ab422a16
133c7c291125
14207552a4ca
1511660d67c0
hex9cd619532

42100430130 has 256 divisors, whose sum is σ = 134154662400. Its totient is φ = 9274245120.

The previous prime is 42100430129. The next prime is 42100430137. The reversal of 42100430130 is 3103400124.

42100430130 is a `hidden beast` number, since 4 + 2 + 100 + 430 + 130 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (42100430137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1449834 + ... + 1478586.

It is an arithmetic number, because the mean of its divisors is an integer number (524041650).

Almost surely, 242100430130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42100430130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67077331200).

42100430130 is an abundant number, since it is smaller than the sum of its proper divisors (92054232270).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42100430130 is a wasteful number, since it uses less digits than its factorization.

42100430130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28826 (or 28820 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 42100430130 its reverse (3103400124), we get a palindrome (45203830254).

The spelling of 42100430130 in words is "forty-two billion, one hundred million, four hundred thirty thousand, one hundred thirty".