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11301230010 = 2357731375381
BaseRepresentation
bin10101000011001101…
…10001010110111010
31002011121020222010110
422201212301112322
5141121103330020
65105224325150
7550024604310
oct124146612672
932147228113
1011301230010
11487a282414
1222349137b6
1310b1466265
14792cc40b0
154622428e0
hex2a19b15ba

11301230010 has 128 divisors (see below), whose sum is σ = 31657526784. Its totient is φ = 2528686080.

The previous prime is 11301230009. The next prime is 11301230011. The reversal of 11301230010 is 1003210311.

11301230010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11301230009) and next prime (11301230011).

It is not an unprimeable number, because it can be changed into a prime (11301230011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2097520 + ... + 2102900.

It is an arithmetic number, because the mean of its divisors is an integer number (247324428).

Almost surely, 211301230010 is an apocalyptic number.

11301230010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11301230010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15828763392).

11301230010 is an abundant number, since it is smaller than the sum of its proper divisors (20356296774).

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

11301230010 is a wasteful number, since it uses less digits than its factorization.

11301230010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5608.

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

Adding to 11301230010 its reverse (1003210311), we get a palindrome (12304440321).

The spelling of 11301230010 in words is "eleven billion, three hundred one million, two hundred thirty thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 73 105 137 146 210 219 274 365 411 438 511 685 730 822 959 1022 1095 1370 1533 1918 2055 2190 2555 2877 3066 4110 4795 5110 5381 5754 7665 9590 10001 10762 14385 15330 16143 20002 26905 28770 30003 32286 37667 50005 53810 60006 70007 75334 80715 100010 113001 140014 150015 161430 188335 210021 226002 300030 350035 376670 392813 420042 565005 700070 737197 785626 1050105 1130010 1178439 1474394 1964065 2100210 2211591 2356878 2749691 3685985 3928130 4423182 5160379 5499382 5892195 7371970 8249073 10320758 11057955 11784390 13748455 15481137 16498146 22115910 25801895 27496910 30962274 41245365 51603790 53815381 77405685 82490730 107630762 154811370 161446143 269076905 322892286 376707667 538153810 753415334 807230715 1130123001 1614461430 1883538335 2260246002 3767076670 5650615005 11301230010