[go: up one dir, main page]

Search a number
-
+
1100143422 = 232737367643
BaseRepresentation
bin100000110010010…
…1101101100111110
32211200010002001200
41001210231230332
54223114042142
6301055520330
736156031140
oct10144555476
92750102050
101100143422
11515003044
122685290a6
13146c01051
14a6178c90
15668b364c
hex4192db3e

1100143422 has 96 divisors (see below), whose sum is σ = 2809777152. Its totient is φ = 304523712.

The previous prime is 1100143411. The next prime is 1100143481. The reversal of 1100143422 is 2243410011.

1100143422 is a `hidden beast` number, since 1 + 100 + 143 + 422 = 666.

1100143422 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1100143395 and 1100143404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1710633 + ... + 1711275.

It is an arithmetic number, because the mean of its divisors is an integer number (29268512).

Almost surely, 21100143422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100143422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404888576).

1100143422 is an abundant number, since it is smaller than the sum of its proper divisors (1709633730).

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

1100143422 is a wasteful number, since it uses less digits than its factorization.

1100143422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1100143422 is about 33168.4100010839. The cubic root of 1100143422 is about 1032.3249776517.

Adding to 1100143422 its reverse (2243410011), we get a palindrome (3343553433).

The spelling of 1100143422 in words is "one billion, one hundred million, one hundred forty-three thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 63 74 111 126 222 259 333 367 518 643 666 734 777 1101 1286 1554 1929 2202 2331 2569 3303 3858 4501 4662 5138 5787 6606 7707 9002 11574 13503 13579 15414 23121 23791 27006 27158 40509 40737 46242 47582 71373 81018 81474 95053 122211 142746 166537 190106 214119 235981 244422 285159 333074 428238 471962 499611 570318 707943 855477 999222 1415886 1498833 1651867 1710954 2123829 2997666 3303734 4247658 4955601 8731297 9911202 14866803 17462594 26193891 29733606 52387782 61119079 78581673 122238158 157163346 183357237 366714474 550071711 1100143422