1129613100 has 288 divisors, whose sum is σ = 4133068800. Its totient is φ = 231379200.

The previous prime is 1129613083. The next prime is 1129613101. The reversal of 1129613100 is 13169211.

It is a super-2 number, since 2×1129613100² = 2552051511383220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1129613101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1824591 + ... + 1825209.

Almost surely, 2^1129613100 is an apocalyptic number.

1129613100 is a gapful number since it is divisible by the number (10) 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 1129613100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2066534400).

1129613100 is an abundant number, since it is smaller than the sum of its proper divisors (3003455700).

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

1129613100 is a wasteful number, since it uses less digits than its factorization.

1129613100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 1129613100 is about 33609.7173448394. The cubic root of 1129613100 is about 1041.4615483765.

The spelling of 1129613100 in words is "one billion, one hundred twenty-nine million, six hundred thirteen thousand, one hundred".