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11552332100221 = 1119102101541369
BaseRepresentation
bin1010100000011011110010…
…1001101011001001111101
31111220101120212221112021001
42220012330221223021331
53003233134004201341
640323022413210301
72301425362443523
oct250067451531175
944811525845231
1011552332100221
113754353335910
121366b04790991
1365a4c35158b3
142bd1c8b12313
15150781794d31
hexa81bca6b27d

11552332100221 has 16 divisors (see below), whose sum is σ = 13265990337600. Its totient is φ = 9949261104000.

The previous prime is 11552332100171. The next prime is 11552332100269. The reversal of 11552332100221 is 12200123325511.

It is a cyclic number.

It is not a de Polignac number, because 11552332100221 - 213 = 11552332092029 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11552332100221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11552332100521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21068425 + ... + 21609793.

It is an arithmetic number, because the mean of its divisors is an integer number (829124396100).

Almost surely, 211552332100221 is an apocalyptic number.

11552332100221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11552332100221 is a deficient number, since it is larger than the sum of its proper divisors (1713658237379).

11552332100221 is a wasteful number, since it uses less digits than its factorization.

11552332100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643500.

The product of its (nonzero) digits is 3600, while the sum is 28.

Adding to 11552332100221 its reverse (12200123325511), we get a palindrome (23752455425732).

The spelling of 11552332100221 in words is "eleven trillion, five hundred fifty-two billion, three hundred thirty-two million, one hundred thousand, two hundred twenty-one".

Divisors: 1 11 19 209 102101 541369 1123111 1939919 5955059 10286011 21339109 113146121 55274316269 608017478959 1050212009111 11552332100221