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11001312300 = 223521114812251
BaseRepresentation
bin10100011111011101…
…01011010000101100
31001101200220120101010
422033232223100230
5140012313443200
65015352145220
7536423416536
oct121756532054
931350816333
1011001312300
114735a54840
122170398210
131064296a64
14765132856
15445c4d150
hex28fbab42c

11001312300 has 144 divisors (see below), whose sum is σ = 34763025024. Its totient is φ = 2664000000.

The previous prime is 11001312293. The next prime is 11001312307. The reversal of 11001312300 is 321310011.

It is an interprime number because it is at equal distance from previous prime (11001312293) and next prime (11001312307).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (11001312307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4886175 + ... + 4888425.

It is an arithmetic number, because the mean of its divisors is an integer number (241409896).

Almost surely, 211001312300 is an apocalyptic number.

11001312300 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 11001312300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17381512512).

11001312300 is an abundant number, since it is smaller than the sum of its proper divisors (23761712724).

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

11001312300 is a wasteful number, since it uses less digits than its factorization.

11001312300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3760 (or 3753 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 11001312300 its reverse (321310011), we get a palindrome (11322622311).

The spelling of 11001312300 in words is "eleven billion, one million, three hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1481 1650 2251 2962 3300 4443 4502 5924 6753 7405 8886 9004 11255 13506 14810 16291 17772 22215 22510 24761 27012 29620 32582 33765 37025 44430 45020 48873 49522 56275 65164 67530 74050 74283 81455 88860 97746 99044 111075 112550 123805 135060 148100 148566 162910 168825 195492 222150 225100 244365 247610 297132 325820 337650 371415 407275 444300 488730 495220 619025 675300 742830 814550 977460 1221825 1238050 1485660 1629100 1857075 2443650 2476100 3333731 3714150 4887300 6667462 7428300 10001193 13334924 16668655 20002386 33337310 36671041 40004772 50005965 66674620 73342082 83343275 100011930 110013123 146684164 166686550 183355205 200023860 220026246 250029825 333373100 366710410 440052492 500059650 550065615 733420820 916776025 1000119300 1100131230 1833552050 2200262460 2750328075 3667104100 5500656150 11001312300