Search a number
-
+
10220112222201 = 327535130316577
BaseRepresentation
bin1001010010111000111000…
…1010001001011111111001
31100012000220012012200111100
42110232032022021133321
52314421242212102301
633423015453522013
72103243623353530
oct224561612113771
940160805180440
1010220112222201
113290363a03462
121190886aa3309
135919a2184c9b
14274928389317
1512acaddee286
hex94b8e2897f9

10220112222201 has 24 divisors (see below), whose sum is σ = 16874449847424. Its totient is φ = 5838972537600.

The previous prime is 10220112222137. The next prime is 10220112222211. The reversal of 10220112222201 is 10222221102201.

It is a happy number.

10220112222201 is a `hidden beast` number, since 1 + 0 + 220 + 1 + 1 + 222 + 220 + 1 = 666.

It is not a de Polignac number, because 10220112222201 - 26 = 10220112222137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10220112222211) 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 23 ways as a sum of consecutive naturals, for example, 14821176 + ... + 15495401.

It is an arithmetic number, because the mean of its divisors is an integer number (703102076976).

Almost surely, 210220112222201 is an apocalyptic number.

It is an amenable number.

10220112222201 is a deficient number, since it is larger than the sum of its proper divisors (6654337625223).

10220112222201 is a wasteful number, since it uses less digits than its factorization.

10220112222201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30321941 (or 30321938 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10220112222201 its reverse (10222221102201), we get a palindrome (20442333324402).

The spelling of 10220112222201 in words is "ten trillion, two hundred twenty billion, one hundred twelve million, two hundred twenty-two thousand, two hundred one".

Divisors: 1 3 7 9 21 63 5351 16053 37457 48159 112371 337113 30316577 90949731 212216039 272849193 636648117 1909944351 162224003527 486672010581 1135568024689 1460016031743 3406704074067 10220112222201