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22122002210101 = 172602135000881
BaseRepresentation
bin1010000011110101011100…
…00101010101110100110101
32220022211202100222210000221
411001322232011111310311
510344421330031210401
6115014412453534341
74442155560140413
oct501725605256465
986284670883027
1022122002210101
11705998558a032
1225934859443b1
13c461327a1771
145669d3d262b3
1528569d9b67a1
hex141eae155d35

22122002210101 has 8 divisors (see below), whose sum is σ = 23423391157464. Its totient is φ = 20820623784960.

The previous prime is 22122002210083. The next prime is 22122002210117. The reversal of 22122002210101 is 10101220022122.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2880576095076 + 19241426115025 = 1697226^2 + 4386505^2 .

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 22122002210101 - 217 = 22122002079029 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 (22122002210141) 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 7 ways as a sum of consecutive naturals, for example, 1923181 + ... + 6924061.

It is an arithmetic number, because the mean of its divisors is an integer number (2927923894683).

Almost surely, 222122002210101 is an apocalyptic number.

It is an amenable number.

22122002210101 is a deficient number, since it is larger than the sum of its proper divisors (1301388947363).

22122002210101 is a wasteful number, since it uses less digits than its factorization.

22122002210101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5261111.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22122002210101 its reverse (10101220022122), we get a palindrome (32223222232223).

The spelling of 22122002210101 in words is "twenty-two trillion, one hundred twenty-two billion, two million, two hundred ten thousand, one hundred one".

Divisors: 1 17 260213 4423621 5000881 85014977 1301294247653 22122002210101