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22121110332 = 22322921188803
BaseRepresentation
bin10100100110100001…
…010101101100111100
32010002122202211121200
4110212201111230330
5330301001012312
614055020055500
71412116223016
oct244641255474
963078684550
1022121110332
119421876672
124354394590
132116c773c9
1410dbca91b6
158970a30dc
hex526855b3c

22121110332 has 36 divisors (see below), whose sum is σ = 57845434920. Its totient is φ = 7119437472.

The previous prime is 22121110327. The next prime is 22121110337. The reversal of 22121110332 is 23301112122.

22121110332 is a `hidden beast` number, since 221 + 2 + 1 + 110 + 332 = 666.

It is an interprime number because it is at equal distance from previous prime (22121110327) and next prime (22121110337).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22121110337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10593358 + ... + 10595445.

Almost surely, 222121110332 is an apocalyptic number.

It is an amenable number.

22121110332 is an abundant number, since it is smaller than the sum of its proper divisors (35724324588).

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

22121110332 is a wasteful number, since it uses less digits than its factorization.

22121110332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21188842 (or 21188837 counting only the distinct ones).

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

Adding to 22121110332 its reverse (23301112122), we get a palindrome (45422222454).

The spelling of 22121110332 in words is "twenty-two billion, one hundred twenty-one million, one hundred ten thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 21188803 42377606 63566409 84755212 127132818 190699227 254265636 381398454 614475287 762796908 1228950574 1843425861 2457901148 3686851722 5530277583 7373703444 11060555166 22121110332