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1130203056 = 24343599281
BaseRepresentation
bin100001101011101…
…1000011110110000
32220202200021010110
41003113120132300
54303312444211
6304052101320
740002365433
oct10327303660
92822607113
101130203056
1152aa74314
12276604840
131501c7208
14aa16181a
156934eea6
hex435d87b0

1130203056 has 80 divisors (see below), whose sum is σ = 3038555520. Its totient is φ = 361697280.

The previous prime is 1130203021. The next prime is 1130203091. The reversal of 1130203056 is 6503020311.

It is an interprime number because it is at equal distance from previous prime (1130203021) and next prime (1130203091).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117136 + ... + 126416.

It is an arithmetic number, because the mean of its divisors is an integer number (37981944).

Almost surely, 21130203056 is an apocalyptic number.

1130203056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130203056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519277760).

1130203056 is an abundant number, since it is smaller than the sum of its proper divisors (1908352464).

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

1130203056 is a wasteful number, since it uses less digits than its factorization.

1130203056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9394 (or 9388 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 1130203056 is about 33618.4927681180. The cubic root of 1130203056 is about 1041.6428227019.

Adding to 1130203056 its reverse (6503020311), we get a palindrome (7633223367).

It can be divided in two parts, 113020305 and 6, that added together give a palindrome (113020311).

The spelling of 1130203056 in words is "one billion, one hundred thirty million, two hundred three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 59 86 118 129 172 177 236 258 344 354 472 516 688 708 944 1032 1416 2064 2537 2832 5074 7611 9281 10148 15222 18562 20296 27843 30444 37124 40592 55686 60888 74248 111372 121776 148496 222744 399083 445488 547579 798166 1095158 1197249 1596332 1642737 2190316 2394498 3192664 3285474 4380632 4788996 6385328 6570948 8761264 9577992 13141896 19155984 23545897 26283792 47091794 70637691 94183588 141275382 188367176 282550764 376734352 565101528 1130203056