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10222221131 = 239715592939
BaseRepresentation
bin10011000010100101…
…01011011101001011
3222101101220122012122
421201102223131023
5131413342034011
64410201401455
7511213305653
oct114122533513
928341818178
1010222221131
1143761a5041
121b9349928b
13c6ba54b75
146cd88b363
153ec6563db
hex2614ab74b

10222221131 has 16 divisors (see below), whose sum is σ = 10787212800. Its totient is φ = 9667477248.

The previous prime is 10222221109. The next prime is 10222221137. The reversal of 10222221131 is 13112222201.

10222221131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10222221131 - 26 = 10222221067 is a prime.

It is a super-2 number, since 2×102222211312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10222221137) 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 15 ways as a sum of consecutive naturals, for example, 3476660 + ... + 3479598.

It is an arithmetic number, because the mean of its divisors is an integer number (674200800).

Almost surely, 210222221131 is an apocalyptic number.

10222221131 is a deficient number, since it is larger than the sum of its proper divisors (564991669).

10222221131 is a wasteful number, since it uses less digits than its factorization.

10222221131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4618.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10222221131 its reverse (13112222201), we get a palindrome (23334443332).

The spelling of 10222221131 in words is "ten billion, two hundred twenty-two million, two hundred twenty-one thousand, one hundred thirty-one".

Divisors: 1 23 97 1559 2231 2939 35857 67597 151223 285083 3478129 4581901 6556909 105383723 444444397 10222221131