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1113112033 = 112371092281
BaseRepresentation
bin100001001011000…
…1011110111100001
32212120111221122121
41002112023313201
54234424041113
6302241504241
736404203405
oct10226136741
92776457577
101113112033
11521360600
12270942081
131497c1b97
14a7b93105
1567ac5e8d
hex4258bde1

1113112033 has 24 divisors (see below), whose sum is σ = 1268655080. Its totient is φ = 975110400.

The previous prime is 1113112031. The next prime is 1113112051. The reversal of 1113112033 is 3302113111.

It can be written as a sum of positive squares in 4 ways, for example, as 542284369 + 570827664 = 23287^2 + 23892^2 .

It is not a de Polignac number, because 1113112033 - 21 = 1113112031 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1113111998 and 1113112016.

It is not an unprimeable number, because it can be changed into a prime (1113112031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 486853 + ... + 489133.

Almost surely, 21113112033 is an apocalyptic number.

It is an amenable number.

1113112033 is a deficient number, since it is larger than the sum of its proper divisors (155543047).

1113112033 is a wasteful number, since it uses less digits than its factorization.

1113112033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449 (or 2438 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 1113112033 is about 33363.3336613714. Note that the first 3 decimals coincide. The cubic root of 1113112033 is about 1036.3655287660.

Adding to 1113112033 its reverse (3302113111), we get a palindrome (4415225144).

It can be divided in two parts, 11131120 and 33, that multiplied together give a triangular number (367326960 = T27104).

The spelling of 1113112033 in words is "one billion, one hundred thirteen million, one hundred twelve thousand, thirty-three".

Divisors: 1 11 37 109 121 407 1199 2281 4033 4477 13189 25091 44363 84397 248629 276001 487993 928367 2734919 9199273 10212037 30084109 101192003 1113112033