Search a number
-
+
1001430101124 = 223227817502809
BaseRepresentation
bin11101001001010011110…
…00101010110010000100
310112201212101102002102100
432210221320222302010
5112401412101213444
62044014534312100
7132231241261035
oct16445170526204
93481771362370
101001430101124
11356782204052
12142100ab8630
137358565631b
1436680352a8c
151b0b20a4e69
hexe929e2ac84

1001430101124 has 18 divisors (see below), whose sum is σ = 2531392755710. Its totient is φ = 333810033696.

The previous prime is 1001430101057. The next prime is 1001430101129. The reversal of 1001430101124 is 4211010341001.

1001430101124 is a `hidden beast` number, since 10 + 0 + 1 + 430 + 101 + 124 = 666.

It can be written as a sum of positive squares in only one way, i.e., 863171064900 + 138259036224 = 929070^2 + 371832^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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 = 1001430101097 and 1001430101106.

It is not an unprimeable number, because it can be changed into a prime (1001430101129) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13908751369 + ... + 13908751440.

Almost surely, 21001430101124 is an apocalyptic number.

It is an amenable number.

1001430101124 is an abundant number, since it is smaller than the sum of its proper divisors (1529962654586).

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

1001430101124 is a wasteful number, since it uses less digits than its factorization.

1001430101124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27817502819 (or 27817502814 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1001430101124 its reverse (4211010341001), we get a palindrome (5212440442125).

The spelling of 1001430101124 in words is "one trillion, one billion, four hundred thirty million, one hundred one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 27817502809 55635005618 83452508427 111270011236 166905016854 250357525281 333810033708 500715050562 1001430101124