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2102110144 = 26192716379
BaseRepresentation
bin111110101001011…
…1010011111000000
312102111111021000021
41331102322133000
513301120011034
6544331303224
7103043433001
oct17522723700
95374437007
102102110144
1198964a512
124a7baab14
13276679474
1415d2791a8
15c48326b4
hex7d4ba7c0

2102110144 has 56 divisors (see below), whose sum is σ = 4407814400. Its totient is φ = 991906560.

The previous prime is 2102110121. The next prime is 2102110159. The reversal of 2102110144 is 4410112012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 7 ways as a sum of consecutive naturals, for example, 326347 + ... + 332725.

Almost surely, 22102110144 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 2102110144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2203907200).

2102110144 is an abundant number, since it is smaller than the sum of its proper divisors (2305704256).

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

2102110144 is a wasteful number, since it uses less digits than its factorization.

2102110144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6681 (or 6671 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 2102110144 is about 45848.7747273578. The cubic root of 2102110144 is about 1281.0079430605.

Adding to 2102110144 its reverse (4410112012), we get a palindrome (6512222156).

The spelling of 2102110144 in words is "two billion, one hundred two million, one hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 271 304 542 608 1084 1216 2168 4336 5149 6379 8672 10298 12758 17344 20596 25516 41192 51032 82384 102064 121201 164768 204128 242402 329536 408256 484804 969608 1728709 1939216 3457418 3878432 6914836 7756864 13829672 27659344 32845471 55318688 65690942 110637376 131381884 262763768 525527536 1051055072 2102110144