Search a number
-
+
106221426030 = 2355192300659
BaseRepresentation
bin110001011101101001…
…0100101010101101110
3101011011202100112100000
41202323102211111232
53220020141113110
6120444125445130
710450160136546
oct1427322452556
9334152315300
10106221426030
1141059253605
12187054107a6
13a02a725015
1451d942c326
152b6a5101c0
hex18bb4a556e

106221426030 has 96 divisors (see below), whose sum is σ = 301478486400. Its totient is φ = 26834874912.

The previous prime is 106221426029. The next prime is 106221426037. The reversal of 106221426030 is 30624122601.

106221426030 is a `hidden beast` number, since 1 + 0 + 622 + 1 + 4 + 2 + 6 + 0 + 30 = 666.

It is a super-2 number, since 2×1062214260302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 106221425985 and 106221426003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106221426037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1104160 + ... + 1196499.

It is an arithmetic number, because the mean of its divisors is an integer number (3140400900).

Almost surely, 2106221426030 is an apocalyptic number.

106221426030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106221426030 is an abundant number, since it is smaller than the sum of its proper divisors (195257060370).

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

106221426030 is a wasteful number, since it uses less digits than its factorization.

106221426030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2300700 (or 2300688 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 106221426030 its reverse (30624122601), we get a palindrome (136845548631).

The spelling of 106221426030 in words is "one hundred six billion, two hundred twenty-one million, four hundred twenty-six thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 114 135 162 171 190 243 270 285 342 405 486 513 570 810 855 1026 1215 1539 1710 2430 2565 3078 4617 5130 7695 9234 15390 23085 46170 2300659 4601318 6901977 11503295 13803954 20705931 23006590 34509885 41411862 43712521 62117793 69019770 87425042 103529655 124235586 131137563 186353379 207059310 218562605 262275126 310588965 372706758 393412689 437125210 559060137 621177930 655687815 786825378 931766895 1118120274 1180238067 1311375630 1863533790 1967063445 2360476134 2795300685 3540714201 3934126890 5590601370 5901190335 7081428402 10622142603 11802380670 17703571005 21244285206 35407142010 53110713015 106221426030