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1011131424 = 2534390097
BaseRepresentation
bin111100010001001…
…010010000100000
32121110121210120000
4330101022100200
54032322201144
6244200020000
734025322012
oct7421122040
92543553500
101011131424
11479837006
12242761600
13131636a24
14984081b2
155db7e769
hex3c44a420

1011131424 has 60 divisors (see below), whose sum is σ = 2973717054. Its totient is φ = 337042944.

The previous prime is 1011131411. The next prime is 1011131431. The reversal of 1011131424 is 4241311101.

It can be written as a sum of positive squares in only one way, i.e., 754491024 + 256640400 = 27468^2 + 16020^2 .

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 = 1011131397 and 1011131406.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 192457 + ... + 197640.

Almost surely, 21011131424 is an apocalyptic number.

It is an amenable number.

1011131424 is an abundant number, since it is smaller than the sum of its proper divisors (1962585630).

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

1011131424 is an equidigital number, since it uses as much as digits as its factorization.

1011131424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390119 (or 390102 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1011131424 is about 31798.2927843619. The cubic root of 1011131424 is about 1003.6967915584.

Adding to 1011131424 its reverse (4241311101), we get a palindrome (5252442525).

The spelling of 1011131424 in words is "one billion, eleven million, one hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 390097 780194 1170291 1560388 2340582 3120776 3510873 4681164 6241552 7021746 9362328 10532619 12483104 14043492 18724656 21065238 28086984 31597857 37449312 42130476 56173968 63195714 84260952 112347936 126391428 168521904 252782856 337043808 505565712 1011131424