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211101200196 = 2231923594571493
BaseRepresentation
bin1100010010011010011…
…1001010111101000100
3202011220000011002022020
43010212213022331010
511424313401401241
6240551211203140
721152166411105
oct3044647127504
9664800132266
10211101200196
1181589140217
1234ab54464b0
1316ba31ba6a3
14a3085b63ac
155757d53b66
hex31269caf44

211101200196 has 192 divisors, whose sum is σ = 551780812800. Its totient is φ = 62505298944.

The previous prime is 211101200183. The next prime is 211101200197. The reversal of 211101200196 is 691002101112.

It is a happy number.

It is a super-3 number, since 3×2111012001963 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (211101200197) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 141393226 + ... + 141394718.

It is an arithmetic number, because the mean of its divisors is an integer number (2873858400).

Almost surely, 2211101200196 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 211101200196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275890406400).

211101200196 is an abundant number, since it is smaller than the sum of its proper divisors (340679612604).

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

211101200196 is a wasteful number, since it uses less digits than its factorization.

211101200196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2058 (or 2056 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 24.

The spelling of 211101200196 in words is "two hundred eleven billion, one hundred one million, two hundred thousand, one hundred ninety-six".