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10220041111 = 771791311987
BaseRepresentation
bin10011000010010100…
…10111001110010111
3222101020210212210011
421201022113032113
5131412312303421
64410042541051
7511155626140
oct114112271627
928336725704
1010220041111
114374a46175
121b92807787
13c6b470807
146cd480ac7
153ec3754e1
hex261297397

10220041111 has 32 divisors (see below), whose sum is σ = 12092129280. Its totient is φ = 8457976800.

The previous prime is 10220041103. The next prime is 10220041123. The reversal of 10220041111 is 11114002201.

10220041111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10220041111 - 23 = 10220041103 is a prime.

It is a super-2 number, since 2×102200411112 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10220041091 and 10220041100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220041141) 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 31 ways as a sum of consecutive naturals, for example, 5142460 + ... + 5144446.

It is an arithmetic number, because the mean of its divisors is an integer number (377879040).

Almost surely, 210220041111 is an apocalyptic number.

10220041111 is a deficient number, since it is larger than the sum of its proper divisors (1872088169).

10220041111 is a wasteful number, since it uses less digits than its factorization.

10220041111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2275.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10220041111 its reverse (11114002201), we get a palindrome (21334043312).

The spelling of 10220041111 in words is "ten billion, two hundred twenty million, forty-one thousand, one hundred eleven".

Divisors: 1 7 71 79 131 497 553 917 1987 5609 9301 10349 13909 39263 65107 72443 141077 156973 260297 734779 987539 1098811 1822079 5143453 11145083 18481087 20563463 78015581 129367609 143944241 1460005873 10220041111