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11142032420 = 2253121178501
BaseRepresentation
bin10100110000001110…
…11110110000100100
31001202111200220002102
422120013132300210
5140304330014140
65041340231232
7543052466351
oct123007366044
931674626072
1011142032420
1147a8428962
1221ab53b518
131087496abc
14779ac3628
15453297e15
hex2981dec24

11142032420 has 24 divisors (see below), whose sum is σ = 23405896248. Its totient is φ = 4455360000.

The previous prime is 11142032329. The next prime is 11142032443. The reversal of 11142032420 is 2423024111.

It can be written as a sum of positive squares in 4 ways, for example, as 90136036 + 11051896384 = 9494^2 + 105128^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11142032392 and 11142032401.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26831 + ... + 151670.

It is an arithmetic number, because the mean of its divisors is an integer number (975245677).

Almost surely, 211142032420 is an apocalyptic number.

11142032420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11142032420 is an abundant number, since it is smaller than the sum of its proper divisors (12263863828).

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

11142032420 is a wasteful number, since it uses less digits than its factorization.

11142032420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181631 (or 181629 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 11142032420 its reverse (2423024111), we get a palindrome (13565056531).

The spelling of 11142032420 in words is "eleven billion, one hundred forty-two million, thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 3121 6242 12484 15605 31210 62420 178501 357002 714004 892505 1785010 3570020 557101621 1114203242 2228406484 2785508105 5571016210 11142032420