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5111106 = 23711132337
BaseRepresentation
bin10011011111110101000010
3100121200010020
4103133311002
52302023411
6301314310
761305120
oct23376502
910550106
105111106
112981060
121865996
13109c530
14970910
156ae606
hex4dfd42

5111106 has 128 divisors (see below), whose sum is σ = 14708736. Its totient is φ = 1140480.

The previous prime is 5111089. The next prime is 5111123. The reversal of 5111106 is 6011115.

It is an interprime number because it is at equal distance from previous prime (5111089) and next prime (5111123).

It is a super-2 number, since 2×51111062 = 52246809086472, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 138120 + ... + 138156.

It is an arithmetic number, because the mean of its divisors is an integer number (114912).

Almost surely, 25111106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5111106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7354368).

5111106 is an abundant number, since it is smaller than the sum of its proper divisors (9597630).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5111106 is a wasteful number, since it uses less digits than its factorization.

5111106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96.

The product of its (nonzero) digits is 30, while the sum is 15.

The square root of 5111106 is about 2260.7755306531. The cubic root of 5111106 is about 172.2549176604.

Subtracting 5111106 from its reverse (6011115), we obtain a palindrome (900009).

It can be divided in two parts, 5 and 111106, that added together give a palindrome (111111).

The spelling of 5111106 in words is "five million, one hundred eleven thousand, one hundred six".

Divisors: 1 2 3 6 7 11 13 14 21 22 23 26 33 37 39 42 46 66 69 74 77 78 91 111 138 143 154 161 182 222 231 253 259 273 286 299 322 407 429 462 481 483 506 518 546 598 759 777 814 851 858 897 962 966 1001 1221 1443 1518 1554 1702 1771 1794 2002 2093 2442 2553 2849 2886 3003 3289 3367 3542 4186 5106 5291 5313 5698 5957 6006 6279 6578 6734 8547 9361 9867 10101 10582 10626 11063 11914 12558 15873 17094 17871 18722 19734 20202 22126 23023 28083 31746 33189 35742 37037 46046 56166 65527 66378 69069 74074 77441 111111 121693 131054 138138 154882 196581 222222 232323 243386 365079 393162 464646 730158 851851 1703702 2555553 5111106