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11300302100 = 22521074632281
BaseRepresentation
bin10101000011000110…
…01110110100010100
31002011112111211021102
422201203032310110
5141120334131400
65105152405232
7550013661113
oct124143166424
932145454242
1011300302100
1148797a924a
122234546818
1310b11ccab9
14792b21c7a
1546210c9d5
hex2a18ced14

11300302100 has 72 divisors (see below), whose sum is σ = 24815161728. Its totient is φ = 4466246400.

The previous prime is 11300302099. The next prime is 11300302103. The reversal of 11300302100 is 120300311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11300302103) 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, 4952960 + ... + 4955240.

It is an arithmetic number, because the mean of its divisors is an integer number (344655024).

Almost surely, 211300302100 is an apocalyptic number.

11300302100 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 11300302100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12407580864).

11300302100 is an abundant number, since it is smaller than the sum of its proper divisors (13514859628).

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

11300302100 is a wasteful number, since it uses less digits than its factorization.

11300302100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2865 (or 2858 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 11300302100 its reverse (120300311), we get a palindrome (11420602411).

The spelling of 11300302100 in words is "eleven billion, three hundred million, three hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 107 214 428 463 535 926 1070 1852 2140 2281 2315 2675 4562 4630 5350 9124 9260 10700 11405 11575 22810 23150 45620 46300 49541 57025 99082 114050 198164 228100 244067 247705 488134 495410 976268 990820 1056103 1220335 1238525 2112206 2440670 2477050 4224412 4881340 4954100 5280515 6101675 10561030 12203350 21122060 24406700 26402575 52805150 105610300 113003021 226006042 452012084 565015105 1130030210 2260060420 2825075525 5650151050 11300302100