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1100133100 = 2252111000121
BaseRepresentation
bin100000110010010…
…1011001011101100
32211200002112220101
41001210223023230
54223113224400
6301055400444
736155656063
oct10144531354
92750075811
101100133100
11514aa6310
12268523124
13146bc9441
14a61751da
15668b056a
hex4192b2ec

1100133100 has 36 divisors (see below), whose sum is σ = 2604317688. Its totient is φ = 400048000.

The previous prime is 1100133077. The next prime is 1100133101. The reversal of 1100133100 is 13310011.

It is a super-2 number, since 2×11001331002 = 2420585675431220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1100133101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 498961 + ... + 501160.

It is an arithmetic number, because the mean of its divisors is an integer number (72342158).

Almost surely, 21100133100 is an apocalyptic number.

1100133100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100133100 is an abundant number, since it is smaller than the sum of its proper divisors (1504184588).

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

1100133100 is a wasteful number, since it uses less digits than its factorization.

1100133100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000146 (or 1000139 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 1100133100 is about 33168.2544008575. The cubic root of 1100133100 is about 1032.3217490752.

Adding to 1100133100 its reverse (13310011), we get a palindrome (1113443111).

Subtracting from 1100133100 its reverse (13310011), we obtain a square (1086823089 = 329672).

It can be divided in two parts, 1100 and 133100, that multiplied together give a 4-th power (146410000 = 1104).

The spelling of 1100133100 in words is "one billion, one hundred million, one hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 1000121 2000242 4000484 5000605 10001210 11001331 20002420 22002662 25003025 44005324 50006050 55006655 100012100 110013310 220026620 275033275 550066550 1100133100