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211121102110000 = 245421112110211
BaseRepresentation
bin110000000000001101110110…
…010010111011110100110000
31000200111222110121021100002011
4300000031312102323310300
5210133002004120010000
62025003410111332304
762316665502455215
oct6000156622736460
91020458417240064
10211121102110000
11612a6a58252995
121b818825b21094
1390a5833009494
143a1c45ca2db0c
151961b273502ba
hexc003764bbd30

211121102110000 has 50 divisors (see below), whose sum is σ = 511145300342732. Its totient is φ = 84448440840000.

The previous prime is 211121102109947. The next prime is 211121102110003. The reversal of 211121102110000 is 11201121112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (50).

It is a super-2 number, since 2×2111211021100002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211121102110003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10556045106 + ... + 10556065105.

Almost surely, 2211121102110000 is an apocalyptic number.

211121102110000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211121102110000 is an abundant number, since it is smaller than the sum of its proper divisors (300024198232732).

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

211121102110000 is an equidigital number, since it uses as much as digits as its factorization.

211121102110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21112110239 (or 21112110218 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 211121102110000 its reverse (11201121112), we get a palindrome (211132303231112).

The spelling of 211121102110000 in words is "two hundred eleven trillion, one hundred twenty-one billion, one hundred two million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 21112110211 42224220422 84448440844 105560551055 168896881688 211121102110 337793763376 422242204220 527802755275 844484408440 1055605510550 1688968816880 2111211021100 2639013776375 4222422042200 5278027552750 8444844084400 10556055105500 13195068881875 21112110211000 26390137763750 42224220422000 52780275527500 105560551055000 211121102110000