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42166000110 = 23513929116381
BaseRepresentation
bin100111010001010010…
…100001100111101110
311000211121202202001210
4213101102201213232
51142323444000420
631212031415250
73021625041633
oct472122414756
9130747682053
1042166000110
1116978675a83
128209384526
133c8ca3b430
14208011818a
15116bc399e0
hex9d14a19ee

42166000110 has 64 divisors (see below), whose sum is σ = 109101142080. Its totient is φ = 10368061440.

The previous prime is 42166000091. The next prime is 42166000111. The reversal of 42166000110 is 1100066124.

42166000110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42166000111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 304120 + ... + 420500.

It is an arithmetic number, because the mean of its divisors is an integer number (1704705345).

Almost surely, 242166000110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42166000110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54550571040).

42166000110 is an abundant number, since it is smaller than the sum of its proper divisors (66935141970).

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

42166000110 is a wasteful number, since it uses less digits than its factorization.

42166000110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117333.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 42166000110 its reverse (1100066124), we get a palindrome (43266066234).

The spelling of 42166000110 in words is "forty-two billion, one hundred sixty-six million, one hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 929 1858 2787 4645 5574 9290 12077 13935 24154 27870 36231 60385 72462 116381 120770 181155 232762 349143 362310 581905 698286 1163810 1512953 1745715 3025906 3491430 4538859 7564765 9077718 15129530 22694295 45388590 108117949 216235898 324353847 540589745 648707694 1081179490 1405533337 1621769235 2811066674 3243538470 4216600011 7027666685 8433200022 14055333370 21083000055 42166000110