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1133135388 = 22327211232539
BaseRepresentation
bin100001110001010…
…0100011000011100
32220222012020112100
41003202210120130
54310040313023
6304235005100
740036330500
oct10342443034
92828166470
101133135388
11531697430
12277599790
131509b2b18
14aa6c6300
156972dc43
hex438a461c

1133135388 has 216 divisors, whose sum is σ = 3794394240. Its totient is φ = 281413440.

The previous prime is 1133135383. The next prime is 1133135401. The reversal of 1133135388 is 8835313311.

It is a happy number.

1133135388 is a `hidden beast` number, since 113 + 3 + 1 + 3 + 538 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133135383) 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, 445023 + ... + 447561.

It is an arithmetic number, because the mean of its divisors is an integer number (17566640).

Almost surely, 21133135388 is an apocalyptic number.

1133135388 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 1133135388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1897197120).

1133135388 is an abundant number, since it is smaller than the sum of its proper divisors (2661258852).

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

1133135388 is a wasteful number, since it uses less digits than its factorization.

1133135388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2597 (or 2585 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 1133135388 is about 33662.0764065439. The cubic root of 1133135388 is about 1042.5428983607.

Adding to 1133135388 its reverse (8835313311), we get a palindrome (9968448699).

The spelling of 1133135388 in words is "one billion, one hundred thirty-three million, one hundred thirty-five thousand, three hundred eighty-eight".