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1131300468 = 2232129724229
BaseRepresentation
bin100001101101110…
…0100011001110100
32220211202000111100
41003123210121310
54304103103333
6304131410100
740014616044
oct10333443164
92824660440
101131300468
11530653871
12276a53930
131504bc87c
14aa369724
15694ba213
hex436e4674

1131300468 has 36 divisors (see below), whose sum is σ = 2861999140. Its totient is φ = 376793856.

The previous prime is 1131300433. The next prime is 1131300487. The reversal of 1131300468 is 8640031311.

It can be written as a sum of positive squares in 2 ways, for example, as 723179664 + 408120804 = 26892^2 + 20202^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34578 + ... + 58806.

Almost surely, 21131300468 is an apocalyptic number.

1131300468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1131300468 is an abundant number, since it is smaller than the sum of its proper divisors (1730698672).

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

1131300468 is a wasteful number, since it uses less digits than its factorization.

1131300468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25536 (or 25531 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1131300468 is about 33634.8103606963. The cubic root of 1131300468 is about 1041.9798540417.

Adding to 1131300468 its reverse (8640031311), we get a palindrome (9771331779).

The spelling of 1131300468 in words is "one billion, one hundred thirty-one million, three hundred thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 1297 2594 3891 5188 7782 11673 15564 23346 24229 46692 48458 72687 96916 145374 218061 290748 436122 872244 31425013 62850026 94275039 125700052 188550078 282825117 377100156 565650234 1131300468