Search a number
-
+
32213221101 = 3347227111827
BaseRepresentation
bin11110000000000011…
…101011111011101101
310002010222212011222000
4132000003223323231
51011433041033401
622444253042513
72220162601335
oct360003537355
9102128764860
1032213221101
1112730583886
1262b0186439
133064a75499
1417b83680c5
15c880a8186
hex7800ebeed

32213221101 has 32 divisors (see below), whose sum is σ = 48953825280. Its totient is φ = 20925775728.

The previous prime is 32213221063. The next prime is 32213221123. The reversal of 32213221101 is 10112231223.

32213221101 is a `hidden beast` number, since 322 + 132 + 211 + 0 + 1 = 666.

It is not a de Polignac number, because 32213221101 - 26 = 32213221037 is a prime.

It is a super-2 number, since 2×322132211012 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32213223101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232150 + ... + 343976.

It is an arithmetic number, because the mean of its divisors is an integer number (1529807040).

Almost surely, 232213221101 is an apocalyptic number.

It is an amenable number.

32213221101 is a deficient number, since it is larger than the sum of its proper divisors (16740604179).

32213221101 is a wasteful number, since it uses less digits than its factorization.

32213221101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112110 (or 112104 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 32213221101 its reverse (10112231223), we get a palindrome (42325452324).

The spelling of 32213221101 in words is "thirty-two billion, two hundred thirteen million, two hundred twenty-one thousand, one hundred one".

Divisors: 1 3 9 27 47 141 227 423 681 1269 2043 6129 10669 32007 96021 111827 288063 335481 1006443 3019329 5255869 15767607 25384729 47302821 76154187 141908463 228462561 685387683 1193082263 3579246789 10737740367 32213221101