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11221031202201 = 32173714249139109
BaseRepresentation
bin1010001101001001100110…
…0101000010110110011001
31110201201102221212010112200
42203102121211002312121
52432321132441432301
635510512013200413
72235456420331542
oct243223145026631
943651387763480
1011221031202201
1136368a3644657
121312864790109
136351a5961272
142ab15a88d4c9
15146d41190c86
hexa3499942d99

11221031202201 has 48 divisors (see below), whose sum is σ = 17626767210000. Its totient is φ = 6849829269504.

The previous prime is 11221031202197. The next prime is 11221031202203. The reversal of 11221031202201 is 10220213012211.

11221031202201 is a `hidden beast` number, since 1 + 122 + 10 + 312 + 0 + 220 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5358410150976 + 5862621051225 = 2314824^2 + 2421285^2 .

It is not a de Polignac number, because 11221031202201 - 22 = 11221031202197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11221031202203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80594035 + ... + 80733143.

It is an arithmetic number, because the mean of its divisors is an integer number (367224316875).

Almost surely, 211221031202201 is an apocalyptic number.

It is an amenable number.

11221031202201 is a deficient number, since it is larger than the sum of its proper divisors (6405736007799).

11221031202201 is a wasteful number, since it uses less digits than its factorization.

11221031202201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153418 (or 153415 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11221031202201 its reverse (10220213012211), we get a palindrome (21441244214412).

The spelling of 11221031202201 in words is "eleven trillion, two hundred twenty-one billion, thirty-one million, two hundred two thousand, two hundred one".

Divisors: 1 3 9 17 37 51 111 153 333 629 1887 5661 14249 42747 128241 139109 242233 417327 527213 726699 1251981 1581639 2180097 2364853 4744917 5147033 7094559 8962621 15441099 21283677 26887863 46323297 80663589 87499561 262498683 787496049 1982164141 5946492423 17839477269 33696790397 73340073217 101090371191 220020219651 303271113573 660060658953 1246781244689 3740343734067 11221031202201