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1120541120 = 26510333997
BaseRepresentation
bin100001011001010…
…0001100111000000
32220002111101102222
41002302201213000
54243324303440
6303105030212
736524304506
oct10262414700
92802441388
101120541120
11525575146
12273325368
1314b1c34aa
14a8b68676
15685922b5
hex42ca19c0

1120541120 has 56 divisors (see below), whose sum is σ = 2694273504. Its totient is φ = 443851776.

The previous prime is 1120541101. The next prime is 1120541153. The reversal of 1120541120 is 211450211.

It is a super-2 number, since 2×11205411202 = 2511224803221708800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15962 + ... + 49958.

Almost surely, 21120541120 is an apocalyptic number.

1120541120 is a gapful number since it is divisible by the number (10) 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 1120541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347136752).

1120541120 is an abundant number, since it is smaller than the sum of its proper divisors (1573732384).

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

1120541120 is a wasteful number, since it uses less digits than its factorization.

1120541120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34117 (or 34107 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 1120541120 is about 33474.4846114171. The cubic root of 1120541120 is about 1038.6660412050. Note that the first 3 decimals are identical.

Adding to 1120541120 its reverse (211450211), we get a palindrome (1331991331).

Subtracting from 1120541120 its reverse (211450211), we obtain a palindrome (909090909).

It can be divided in two parts, 11205 and 41120, that added together give a palindrome (52325).

The spelling of 1120541120 in words is "one billion, one hundred twenty million, five hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 103 160 206 320 412 515 824 1030 1648 2060 3296 4120 6592 8240 16480 32960 33997 67994 135988 169985 271976 339970 543952 679940 1087904 1359880 2175808 2719760 3501691 5439520 7003382 10879040 14006764 17508455 28013528 35016910 56027056 70033820 112054112 140067640 224108224 280135280 560270560 1120541120