Search a number
-
+
42110321311230 = 235178341910692221
BaseRepresentation
bin10011001001100100100101…
…01111100011110111111110
312112002201002200210010210120
421210302102233203313332
521004413414223424410
6225321114201515410
711604241006161504
oct1144622257436776
9175081080703716
1042110321311230
1112465983625937
1248813194a2b66
131a65ca8a78a03
14a58216aac674
154d05bd110570
hex264c92be3dfe

42110321311230 has 256 divisors, whose sum is σ = 108707976115200. Its totient is φ = 10402179194880.

The previous prime is 42110321311183. The next prime is 42110321311241. The reversal of 42110321311230 is 3211312301124.

It is a super-2 number, since 2×421103213112302 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42110321311230.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18960071520 + ... + 18960073740.

It is an arithmetic number, because the mean of its divisors is an integer number (424640531700).

Almost surely, 242110321311230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42110321311230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54353988057600).

42110321311230 is an abundant number, since it is smaller than the sum of its proper divisors (66597654803970).

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

42110321311230 is a wasteful number, since it uses less digits than its factorization.

42110321311230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3819.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 42110321311230 its reverse (3211312301124), we get a palindrome (45321633612354).

The spelling of 42110321311230 in words is "forty-two trillion, one hundred ten billion, three hundred twenty-one million, three hundred eleven thousand, two hundred thirty".