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2102110112 = 25179833931
BaseRepresentation
bin111110101001011…
…1010011110100000
312102111111020222002
41331102322132200
513301120010422
6544331303132
7103043432624
oct17522723640
95374436862
102102110112
1198964a493
124a7baaaa8
1327667944b
1415d279184
15c4832692
hex7d4ba7a0

2102110112 has 48 divisors (see below), whose sum is σ = 4387545792. Its totient is φ = 987970560.

The previous prime is 2102110099. The next prime is 2102110121. The reversal of 2102110112 is 2110112012.

It is a junction number, because it is equal to n+sod(n) for n = 2102110093 and 2102110102.

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 7 ways as a sum of consecutive naturals, for example, 532787 + ... + 536717.

It is an arithmetic number, because the mean of its divisors is an integer number (91407204).

Almost surely, 22102110112 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 2102110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2193772896).

2102110112 is an abundant number, since it is smaller than the sum of its proper divisors (2285435680).

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

2102110112 is a wasteful number, since it uses less digits than its factorization.

2102110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4941 (or 4933 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 2102110112 is about 45848.7743783844. The cubic root of 2102110112 is about 1281.0079365603.

Adding to 2102110112 its reverse (2110112012), we get a palindrome (4212222124).

The spelling of 2102110112 in words is "two billion, one hundred two million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 983 1966 3931 3932 7862 7864 15724 15728 16711 31448 31456 33422 62896 66827 66844 125792 133654 133688 267308 267376 534616 534752 1069232 2138464 3864173 7728346 15456692 30913384 61826768 65690941 123653536 131381882 262763764 525527528 1051055056 2102110112