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10100442 = 2311433559
BaseRepresentation
bin100110100001…
…111011011010
3201000011012110
4212201323122
510041203232
61000253150
7151565232
oct46417332
921004173
1010100442
115779680
1234711b6
1321284c1
1414accc2
15d47acc
hex9a1eda

10100442 has 32 divisors (see below), whose sum is σ = 22556160. Its totient is φ = 2988720.

The previous prime is 10100429. The next prime is 10100443. The reversal of 10100442 is 24400101.

It is not an unprimeable number, because it can be changed into a prime (10100443) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1059 + ... + 4617.

It is an arithmetic number, because the mean of its divisors is an integer number (704880).

Almost surely, 210100442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10100442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11278080).

10100442 is an abundant number, since it is smaller than the sum of its proper divisors (12455718).

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

10100442 is a wasteful number, since it uses less digits than its factorization.

10100442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3618.

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

The square root of 10100442 is about 3178.1192551570. The cubic root of 10100442 is about 216.1623864624.

Adding to 10100442 its reverse (24400101), we get a palindrome (34500543).

The spelling of 10100442 in words is "ten million, one hundred thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 22 33 43 66 86 129 258 473 946 1419 2838 3559 7118 10677 21354 39149 78298 117447 153037 234894 306074 459111 918222 1683407 3366814 5050221 10100442