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2110011212000 = 2553698375541
BaseRepresentation
bin11110101101000110011…
…110000000000011100000
321110201022022100110022102
4132231012132000003200
5234032300332241000
64253154211025532
7305305021243406
oct36550636000340
97421268313272
102110011212000
1174393a35970a
122a0b2659b2a8
13123c861886a3
14741a7351476
1539d4608c3d5
hex1eb467800e0

2110011212000 has 96 divisors (see below), whose sum is σ = 5185108603584. Its totient is φ = 843872448000.

The previous prime is 2110011211991. The next prime is 2110011212021. The reversal of 2110011212000 is 2121100112.

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 15 ways as a sum of consecutive naturals, for example, 27894230 + ... + 27969770.

It is an arithmetic number, because the mean of its divisors is an integer number (54011547954).

Almost surely, 22110011212000 is an apocalyptic number.

2110011212000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2110011212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2592554301792).

2110011212000 is an abundant number, since it is smaller than the sum of its proper divisors (3075097391584).

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

2110011212000 is an equidigital number, since it uses as much as digits as its factorization.

2110011212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82549 (or 82531 counting only the distinct ones).

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

Adding to 2110011212000 its reverse (2121100112), we get a palindrome (2112132312112).

The spelling of 2110011212000 in words is "two trillion, one hundred ten billion, eleven million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 6983 13966 27932 34915 55864 69830 75541 111728 139660 151082 174575 223456 279320 302164 349150 377705 558640 604328 698300 755410 872875 1117280 1208656 1396600 1510820 1745750 1888525 2417312 2793200 3021640 3491500 3777050 5586400 6043280 6983000 7554100 9442625 12086560 13966000 15108200 18885250 27932000 30216400 37770500 60432800 75541000 151082000 302164000 527502803 1055005606 2110011212 2637514015 4220022424 5275028030 8440044848 10550056060 13187570075 16880089696 21100112120 26375140150 42200224240 52750280300 65937850375 84400448480 105500560600 131875700750 211001121200 263751401500 422002242400 527502803000 1055005606000 2110011212000