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22412114101 = 1317293346117
BaseRepresentation
bin10100110111110111…
…011011100010110101
32010211221100100202001
4110313313123202311
5331400000122401
614143533215301
71422251553346
oct246767334265
963757310661
1022412114101
119561066053
124415931531
1321623454a0
1411287ba0cd
158b28d6601
hex537ddb8b5

22412114101 has 16 divisors (see below), whose sum is σ = 25643190384. Its totient is φ = 19404647424.

The previous prime is 22412114063. The next prime is 22412114141. The reversal of 22412114101 is 10141121422.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3392946001 + 19019168100 = 58249^2 + 137910^2 .

It is a cyclic number.

It is not a de Polignac number, because 22412114101 - 215 = 22412081333 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 (22412114141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108306 + ... + 237811.

It is an arithmetic number, because the mean of its divisors is an integer number (1602699399).

Almost surely, 222412114101 is an apocalyptic number.

It is an amenable number.

22412114101 is a deficient number, since it is larger than the sum of its proper divisors (3231076283).

22412114101 is a wasteful number, since it uses less digits than its factorization.

22412114101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346440.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 22412114101 its reverse (10141121422), we get a palindrome (32553235523).

The spelling of 22412114101 in words is "twenty-two billion, four hundred twelve million, one hundred fourteen thousand, one hundred one".

Divisors: 1 13 17 221 293 3809 4981 64753 346117 4499521 5883989 76491857 101412281 1318359653 1724008777 22412114101