Search a number
-
+
101442 = 23112953
BaseRepresentation
bin11000110001000010
312011011010
4120301002
511221232
62101350
7601515
oct306102
9164133
10101442
116a240
124a856
1337233
1428d7c
15200cc
hex18c42

101442 has 32 divisors (see below), whose sum is σ = 233280. Its totient is φ = 29120.

The previous prime is 101429. The next prime is 101449. The reversal of 101442 is 244101.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 101442.

It is not an unprimeable number, because it can be changed into a prime (101449) by changing a digit.

101442 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1888 + ... + 1940.

It is an arithmetic number, because the mean of its divisors is an integer number (7290).

2101442 is an apocalyptic number.

It is a pronic number, being equal to 318×319.

It is a practical number, because each smaller number is the sum of distinct divisors of 101442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116640).

101442 is an abundant number, since it is smaller than the sum of its proper divisors (131838).

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

101442 is a wasteful number, since it uses less digits than its factorization.

101442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98.

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 101442 is about 318.4996075351. The cubic root of 101442 is about 46.6379301540.

Adding to 101442 its reverse (244101), we get a palindrome (345543).

The spelling of 101442 in words is "one hundred one thousand, four hundred forty-two", and thus it is an iban number.

Divisors: 1 2 3 6 11 22 29 33 53 58 66 87 106 159 174 318 319 583 638 957 1166 1537 1749 1914 3074 3498 4611 9222 16907 33814 50721 101442