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1113211008 = 273272133741
BaseRepresentation
bin100001001011010…
…0100000010000000
32212120200222102100
41002112210002000
54234440223013
6302243550400
736405065100
oct10226440200
92776628370
101113211008
115214189a8
1227098b400
13149827c50
14a7bbb200
1567ae5473
hex425a4080

1113211008 has 576 divisors, whose sum is σ = 4222010520. Its totient is φ = 278691840.

The previous prime is 1113210979. The next prime is 1113211009. The reversal of 1113211008 is 8001123111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 713530944 + 399680064 = 26712^2 + 19992^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1113211009) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27151468 + ... + 27151508.

Almost surely, 21113211008 is an apocalyptic number.

1113211008 is a gapful number since it is divisible by the number (18) 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 1113211008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2111005260).

1113211008 is an abundant number, since it is smaller than the sum of its proper divisors (3108799512).

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

1113211008 is a wasteful number, since it uses less digits than its factorization.

1113211008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

The square root of 1113211008 is about 33364.8169184247. The cubic root of 1113211008 is about 1036.3962448231.

Adding to 1113211008 its reverse (8001123111), we get a palindrome (9114334119).

The spelling of 1113211008 in words is "one billion, one hundred thirteen million, two hundred eleven thousand, eight".