Search a number
-
+
1124214001131 = 313295318754717
BaseRepresentation
bin10000010111000000011…
…000000100110111101011
310222110210101222110210110
4100113000120010313223
5121404342241014011
62220242355345403
7144136033225014
oct20270030046753
93873711873713
101124214001131
113a385a54a481
12161a68bb2263
13820225216b0
143c5ab2cc00b
151e39b664ba6
hex105c0604deb

1124214001131 has 32 divisors (see below), whose sum is σ = 1701428016960. Its totient is φ = 655364795904.

The previous prime is 1124214001121. The next prime is 1124214001133. The reversal of 1124214001131 is 1311004124211.

It is not a de Polignac number, because 1124214001131 - 222 = 1124209806827 is a prime.

It is a super-2 number, since 2×11242140011312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1124214001098 and 1124214001107.

It is not an unprimeable number, because it can be changed into a prime (1124214001133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9317416 + ... + 9437301.

It is an arithmetic number, because the mean of its divisors is an integer number (53169625530).

Almost surely, 21124214001131 is an apocalyptic number.

1124214001131 is a deficient number, since it is larger than the sum of its proper divisors (577214015829).

1124214001131 is a wasteful number, since it uses less digits than its factorization.

1124214001131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18754815.

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 1124214001131 its reverse (1311004124211), we get a palindrome (2435218125342).

The spelling of 1124214001131 in words is "one trillion, one hundred twenty-four billion, two hundred fourteen million, one thousand, one hundred thirty-one".

Divisors: 1 3 13 29 39 53 87 159 377 689 1131 1537 2067 4611 19981 59943 18754717 56264151 243811321 543886793 731433963 994000001 1631660379 2982000003 7070528309 12922000013 21211584927 28826000029 38766000039 86478000087 374738000377 1124214001131