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11301330300 = 22352133538209
BaseRepresentation
bin10101000011001110…
…01001110101111100
31002011121110001200220
422201213021311330
5141121120032200
65105230421340
7550025502561
oct124147116574
932147401626
1011301330300
11487a3407a7
122234961850
1310b149cac0
14792d0c868
154622624a0
hex2a19c9d7c

11301330300 has 144 divisors (see below), whose sum is σ = 35317843680. Its totient is φ = 2773647360.

The previous prime is 11301330281. The next prime is 11301330353. The reversal of 11301330300 is 303310311.

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 11301330300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1372596 + ... + 1380804.

Almost surely, 211301330300 is an apocalyptic number.

11301330300 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 11301330300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17658921840).

11301330300 is an abundant number, since it is smaller than the sum of its proper divisors (24016513380).

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

11301330300 is a wasteful number, since it uses less digits than its factorization.

11301330300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8592 (or 8585 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 11301330300 its reverse (303310311), we get a palindrome (11604640611).

The spelling of 11301330300 in words is "eleven billion, three hundred one million, three hundred thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 353 390 650 706 780 975 1059 1300 1412 1765 1950 2118 3530 3900 4236 4589 5295 7060 8209 8825 9178 10590 13767 16418 17650 18356 21180 22945 24627 26475 27534 32836 35300 41045 45890 49254 52950 55068 68835 82090 91780 98508 105900 106717 114725 123135 137670 164180 205225 213434 229450 246270 275340 320151 344175 410450 426868 458900 492540 533585 615675 640302 688350 820900 1067170 1231350 1280604 1376700 1600755 2134340 2462700 2667925 2897777 3201510 5335850 5795554 6403020 8003775 8693331 10671700 11591108 14488885 16007550 17386662 28977770 32015100 34773324 37671101 43466655 57955540 72444425 75342202 86933310 113013303 144888850 150684404 173866620 188355505 217333275 226026606 289777700 376711010 434666550 452053212 565066515 753422020 869333100 941777525 1130133030 1883555050 2260266060 2825332575 3767110100 5650665150 11301330300