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4100120108 = 2272913736857
BaseRepresentation
bin1111010001100010…
…1101111000101100
3101120202002200102022
43310120231320230
531344112320413
61514503445312
7203414305640
oct36430557054
911522080368
104100120108
111814457a17
12965156838
135045a7a96
142ac776c20
1518ee50608
hexf462de2c

4100120108 has 48 divisors (see below), whose sum is σ = 8545158720. Its totient is φ = 1684171776.

The previous prime is 4100120107. The next prime is 4100120119. The reversal of 4100120108 is 8010210014.

It is not an unprimeable number, because it can be changed into a prime (4100120107) 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 15 ways as a sum of consecutive naturals, for example, 92816 + ... + 129672.

It is an arithmetic number, because the mean of its divisors is an integer number (178024140).

Almost surely, 24100120108 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4100120108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4272579360).

4100120108 is an abundant number, since it is smaller than the sum of its proper divisors (4445038612).

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

4100120108 is a wasteful number, since it uses less digits than its factorization.

4100120108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37034 (or 37032 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 4100120108 is about 64032.1802533695. The cubic root of 4100120108 is about 1600.5362926196.

The spelling of 4100120108 in words is "four billion, one hundred million, one hundred twenty thousand, one hundred eight".

Divisors: 1 2 4 7 14 28 29 58 116 137 203 274 406 548 812 959 1918 3836 3973 7946 15892 27811 36857 55622 73714 111244 147428 257999 515998 1031996 1068853 2137706 4275412 5049409 7481971 10098818 14963942 20197636 29927884 35345863 70691726 141383452 146432861 292865722 585731444 1025030027 2050060054 4100120108