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1133132100 = 2235212729741
BaseRepresentation
bin100001110001010…
…0011100101000100
32220222012002000120
41003202203211010
54310040211400
6304234541540
740036315062
oct10342434504
92828162016
101133132100
11531694a11
122775978b0
131509b1489
14aa6c5032
156972cca0
hex438a3944

1133132100 has 72 divisors (see below), whose sum is σ = 3304455168. Its totient is φ = 299779200.

The previous prime is 1133132023. The next prime is 1133132101. The reversal of 1133132100 is 12313311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1133132100.

It is not an unprimeable number, because it can be changed into a prime (1133132101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23230 + ... + 52970.

Almost surely, 21133132100 is an apocalyptic number.

1133132100 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 1133132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652227584).

1133132100 is an abundant number, since it is smaller than the sum of its proper divisors (2171323068).

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

1133132100 is a wasteful number, since it uses less digits than its factorization.

1133132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29885 (or 29878 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 1133132100 is about 33662.0275681665. The cubic root of 1133132100 is about 1042.5418899833.

Adding to 1133132100 its reverse (12313311), we get a palindrome (1145445411).

The spelling of 1133132100 in words is "one billion, one hundred thirty-three million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 127 150 254 300 381 508 635 762 1270 1524 1905 2540 3175 3810 6350 7620 9525 12700 19050 29741 38100 59482 89223 118964 148705 178446 297410 356892 446115 594820 743525 892230 1487050 1784460 2230575 2974100 3777107 4461150 7554214 8922300 11331321 15108428 18885535 22662642 37771070 45325284 56656605 75542140 94427675 113313210 188855350 226626420 283283025 377710700 566566050 1133132100