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22052133101 = 193286139937
BaseRepresentation
bin10100100010011010…
…001101100011101101
32002220211222102122102
4110202122031203231
5330130321224401
614044113424445
71410321016145
oct244232154355
962824872572
1022052133101
119396943a99
12433526b125
1321058a628b
1410d2a71925
15890eca56b
hex52268d8ed

22052133101 has 8 divisors (see below), whose sum is σ = 22174695864. Its totient is φ = 21929656320.

The previous prime is 22052133043. The next prime is 22052133109. The reversal of 22052133101 is 10133125022.

It can be written as a sum of positive squares in 4 ways, for example, as 4759620100 + 17292513001 = 68990^2 + 131501^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 22052133101 - 210 = 22052132077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22052133109) 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 7 ways as a sum of consecutive naturals, for example, 532205 + ... + 572141.

It is an arithmetic number, because the mean of its divisors is an integer number (2771836983).

Almost surely, 222052133101 is an apocalyptic number.

It is an amenable number.

22052133101 is a deficient number, since it is larger than the sum of its proper divisors (122562763).

22052133101 is a wasteful number, since it uses less digits than its factorization.

22052133101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42991.

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 22052133101 its reverse (10133125022), we get a palindrome (32185258123).

The spelling of 22052133101 in words is "twenty-two billion, fifty-two million, one hundred thirty-three thousand, one hundred one".

Divisors: 1 193 2861 39937 552173 7707841 114259757 22052133101