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1131201456 = 2437211231901
BaseRepresentation
bin100001101101100…
…1100001110110000
32220211112222200020
41003123030032300
54304041421311
6304125323440
740014024300
oct10333141660
92824488606
101131201456
11530596440
12276a06580
13150486798
14aa341600
156949ac06
hex436cc3b0

1131201456 has 240 divisors, whose sum is σ = 3871680768. Its totient is φ = 280896000.

The previous prime is 1131201431. The next prime is 1131201457. The reversal of 1131201456 is 6541021311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1131201457) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 594106 + ... + 596006.

Almost surely, 21131201456 is an apocalyptic number.

1131201456 is a gapful number since it is divisible by the number (16) 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 1131201456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935840384).

1131201456 is an abundant number, since it is smaller than the sum of its proper divisors (2740479312).

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

1131201456 is a wasteful number, since it uses less digits than its factorization.

1131201456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1960 (or 1947 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 1131201456 is about 33633.3384605216. The cubic root of 1131201456 is about 1041.9494549503.

Adding to 1131201456 its reverse (6541021311), we get a palindrome (7672222767).

The spelling of 1131201456 in words is "one billion, one hundred thirty-one million, two hundred one thousand, four hundred fifty-six".