Search a number
-
+
1123024224540 = 223529645416221
BaseRepresentation
bin10000010101111001011…
…101011100000100011100
310222100201111012120010210
4100111321131130010130
5121344423200141130
62215524334332420
7144064405256421
oct20257135340434
93870644176123
101123024224540
113a32a9996739
1216179665a110
1381b92b9968a
143c4d729dd48
151e32be985b0
hex1057975c11c

1123024224540 has 48 divisors (see below), whose sum is σ = 3252897758880. Its totient is φ = 289146466560.

The previous prime is 1123024224499. The next prime is 1123024224563. The reversal of 1123024224540 is 454224203211.

It is a happy number.

It is a super-2 number, since 2×11230242245402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1123024224498 and 1123024224507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 322706371 + ... + 322709850.

It is an arithmetic number, because the mean of its divisors is an integer number (67768703310).

Almost surely, 21123024224540 is an apocalyptic number.

1123024224540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1123024224540 is an abundant number, since it is smaller than the sum of its proper divisors (2129873534340).

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

1123024224540 is a wasteful number, since it uses less digits than its factorization.

1123024224540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645416262 (or 645416260 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 1123024224540 its reverse (454224203211), we get a palindrome (1577248427751).

The spelling of 1123024224540 in words is "one trillion, one hundred twenty-three billion, twenty-four million, two hundred twenty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1740 645416221 1290832442 1936248663 2581664884 3227081105 3872497326 6454162210 7744994652 9681243315 12908324420 18717070409 19362486630 37434140818 38724973260 56151211227 74868281636 93585352045 112302422454 187170704090 224604844908 280756056135 374341408180 561512112270 1123024224540