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2102002120 = 235311695163
BaseRepresentation
bin111110101001010…
…0000000111001000
312102111021202211101
41331102200013020
513301103031440
6544325111144
7103042503031
oct17522400710
95374252741
102102002120
11989586339
124a7b584b4
1327663c24a
1415d24ba88
15c481069a
hex7d4a01c8

2102002120 has 32 divisors (see below), whose sum is σ = 4882072320. Its totient is φ = 813677760.

The previous prime is 2102002109. The next prime is 2102002139. The reversal of 2102002120 is 212002012.

It is a super-3 number, since 3×21020021203 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2102002097 and 2102002106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 846342 + ... + 848821.

It is an arithmetic number, because the mean of its divisors is an integer number (152564760).

Almost surely, 22102002120 is an apocalyptic number.

2102002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102002120 is an abundant number, since it is smaller than the sum of its proper divisors (2780070200).

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

2102002120 is a wasteful number, since it uses less digits than its factorization.

2102002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695205 (or 1695201 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2102002120 is about 45847.5966654742. The cubic root of 2102002120 is about 1280.9859997174.

Adding to 2102002120 its reverse (212002012), we get a palindrome (2314004132).

The spelling of 2102002120 in words is "two billion, one hundred two million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 1695163 3390326 6780652 8475815 13561304 16951630 33903260 52550053 67806520 105100106 210200212 262750265 420400424 525500530 1051001060 2102002120