Search a number
-
+
100442124 = 22323775407
BaseRepresentation
bin1011111110010…
…10000000001100
320222222222200200
411333022000030
5201203121444
613544453500
72326513116
oct577120014
9228888620
10100442124
1151773722
122977a290
1317a69b13
14d4a83b6
158c40969
hex5fca00c

100442124 has 36 divisors (see below), whose sum is σ = 260760864. Its totient is φ = 32575392.

The previous prime is 100442123. The next prime is 100442183. The reversal of 100442124 is 421244001.

100442124 is a `hidden beast` number, since 100 + 442 + 124 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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 = 100442097 and 100442106.

It is not an unprimeable number, because it can be changed into a prime (100442123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36372 + ... + 39035.

Almost surely, 2100442124 is an apocalyptic number.

It is an amenable number.

100442124 is an abundant number, since it is smaller than the sum of its proper divisors (160318740).

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

100442124 is a wasteful number, since it uses less digits than its factorization.

100442124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75454 (or 75449 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 100442124 is about 10022.0818196620. The cubic root of 100442124 is about 464.8419303171.

Adding to 100442124 its reverse (421244001), we get a palindrome (521686125).

The spelling of 100442124 in words is "one hundred million, four hundred forty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 75407 150814 226221 301628 452442 678663 904884 1357326 2714652 2790059 5580118 8370177 11160236 16740354 25110531 33480708 50221062 100442124