Search a number
-
+
1112024430 = 2335112912911
BaseRepresentation
bin100001001001000…
…0010010101101110
32212111110200202000
41002102002111232
54234134240210
6302202313130
736362023506
oct10222022556
92774420660
101112024430
11520788460
122704b87a6
13149500b2a
14a798ca06
156795dac0
hex4248256e

1112024430 has 128 divisors (see below), whose sum is σ = 3346790400. Its totient is φ = 260265600.

The previous prime is 1112024423. The next prime is 1112024437. The reversal of 1112024430 is 344202111.

It is an interprime number because it is at equal distance from previous prime (1112024423) and next prime (1112024437).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1112024437) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79675 + ... + 92585.

It is an arithmetic number, because the mean of its divisors is an integer number (26146800).

Almost surely, 21112024430 is an apocalyptic number.

1112024430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1112024430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673395200).

1112024430 is an abundant number, since it is smaller than the sum of its proper divisors (2234765970).

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

1112024430 is a wasteful number, since it uses less digits than its factorization.

1112024430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12967 (or 12961 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1112024430 is about 33347.0303025622. The cubic root of 1112024430 is about 1036.0278803437.

Adding to 1112024430 its reverse (344202111), we get a palindrome (1456226541).

The spelling of 1112024430 in words is "one billion, one hundred twelve million, twenty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 29 30 33 45 54 55 58 66 87 90 99 110 135 145 165 174 198 261 270 290 297 319 330 435 495 522 594 638 783 870 957 990 1305 1485 1566 1595 1914 2610 2871 2970 3190 3915 4785 5742 7830 8613 9570 12911 14355 17226 25822 28710 38733 43065 64555 77466 86130 116199 129110 142021 193665 232398 284042 348597 374419 387330 426063 580995 697194 710105 748838 852126 1123257 1161990 1278189 1420210 1742985 1872095 2130315 2246514 2556378 3369771 3485970 3744190 3834567 4118609 4260630 5616285 6390945 6739542 7669134 8237218 10109313 11232570 12355827 12781890 16848855 19172835 20218626 20593045 24711654 33697710 37067481 38345670 41186090 50546565 61779135 74134962 101093130 111202443 123558270 185337405 222404886 370674810 556012215 1112024430