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1131091668 = 2233717231167
BaseRepresentation
bin100001101101011…
…0001011011010100
32220211100102002000
41003122301123110
54304024413133
6304123115300
740013056230
oct10332613324
92824312060
101131091668
11530520a03
12276972b30
13150448815
14aa3135c0
1569478413
hex436b16d4

1131091668 has 288 divisors, whose sum is σ = 3696967680. Its totient is φ = 292584960.

The previous prime is 1131091601. The next prime is 1131091673. The reversal of 1131091668 is 8661901311.

It is a happy number.

It is a super-2 number, since 2×11310916682 = 2558736722838044448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6772921 + ... + 6773087.

Almost surely, 21131091668 is an apocalyptic number.

1131091668 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 1131091668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1848483840).

1131091668 is an abundant number, since it is smaller than the sum of its proper divisors (2565876012).

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

1131091668 is a wasteful number, since it uses less digits than its factorization.

1131091668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 1131091668 is about 33631.7062903445. The cubic root of 1131091668 is about 1041.9157452907.

Adding to 1131091668 its reverse (8661901311), we get a palindrome (9792992979).

The spelling of 1131091668 in words is "one billion, one hundred thirty-one million, ninety-one thousand, six hundred sixty-eight".