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42021430110 = 2325111716714951
BaseRepresentation
bin100111001000101011…
…000010001101011110
311000110112201211022100
4213020223002031132
51142024441230420
631145425025530
73015221156022
oct471053021536
9130415654270
1042021430110
1116904002440
128188a852a6
133c68ac0c5a
142068c44382
15115e1ce190
hex9c8ac235e

42021430110 has 192 divisors, whose sum is σ = 126963293184. Its totient is φ = 9529728000.

The previous prime is 42021430103. The next prime is 42021430151. The reversal of 42021430110 is 1103412024.

42021430110 is a `hidden beast` number, since 420 + 214 + 30 + 1 + 1 + 0 = 666.

It is a super-2 number, since 2×420214301102 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2803135 + ... + 2818085.

It is an arithmetic number, because the mean of its divisors is an integer number (661267152).

Almost surely, 242021430110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42021430110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63481646592).

42021430110 is an abundant number, since it is smaller than the sum of its proper divisors (84941863074).

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

42021430110 is a wasteful number, since it uses less digits than its factorization.

42021430110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15159 (or 15156 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 42021430110 its reverse (1103412024), we get a palindrome (43124842134).

The spelling of 42021430110 in words is "forty-two billion, twenty-one million, four hundred thirty thousand, one hundred ten".