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1103012424 = 233367199383
BaseRepresentation
bin100000110111110…
…1010001001001000
32211212111211121000
41001233222021020
54224332344144
6301241215000
736222310443
oct10157521110
92755454530
101103012424
11516692618
12269491460
13147696b97
14a66c465a
1566c7d769
hex41bea248

1103012424 has 128 divisors (see below), whose sum is σ = 3133440000. Its totient is φ = 359422272.

The previous prime is 1103012387. The next prime is 1103012429. The reversal of 1103012424 is 4242103011.

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 = 1103012397 and 1103012406.

It is not an unprimeable number, because it can be changed into a prime (1103012429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2879737 + ... + 2880119.

It is an arithmetic number, because the mean of its divisors is an integer number (24480000).

Almost surely, 21103012424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1103012424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566720000).

1103012424 is an abundant number, since it is smaller than the sum of its proper divisors (2030427576).

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

1103012424 is a wasteful number, since it uses less digits than its factorization.

1103012424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 654 counting only the distinct ones).

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

The square root of 1103012424 is about 33211.6308542655. The cubic root of 1103012424 is about 1033.2215794047.

Adding to 1103012424 its reverse (4242103011), we get a palindrome (5345115435).

The spelling of 1103012424 in words is "one billion, one hundred three million, twelve thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 67 72 108 134 199 201 216 268 383 398 402 536 597 603 766 796 804 1149 1194 1206 1532 1592 1608 1791 1809 2298 2388 2412 3064 3447 3582 3618 4596 4776 4824 5373 6894 7164 7236 9192 10341 10746 13333 13788 14328 14472 20682 21492 25661 26666 27576 39999 41364 42984 51322 53332 76217 76983 79998 82728 102644 106664 119997 152434 153966 159996 205288 228651 230949 239994 304868 307932 319992 359991 457302 461898 479988 609736 615864 685953 692847 719982 914604 923796 959976 1371906 1385694 1439964 1829208 1847592 2057859 2743812 2771388 2879928 4115718 5106539 5487624 5542776 8231436 10213078 15319617 16462872 20426156 30639234 40852312 45958851 61278468 91917702 122556936 137876553 183835404 275753106 367670808 551506212 1103012424