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11302303110 = 2357297325423
BaseRepresentation
bin10101000011010101…
…10111010110000110
31002011200021111010220
422201222313112012
5141121342144420
65105303325210
7550036664010
oct124152672606
932150244126
1011302303110
11487a94567a
122235150806
1310b1750827
147930c31b0
154623a5840
hex2a1ab7586

11302303110 has 128 divisors (see below), whose sum is σ = 32510177280. Its totient is φ = 2460036096.

The previous prime is 11302303093. The next prime is 11302303127. The reversal of 11302303110 is 1130320311.

11302303110 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 (11302303093) and next prime (11302303127).

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 11302303110.

It is a congruent number.

It is an unprimeable number.

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, 431859 + ... + 457281.

It is an arithmetic number, because the mean of its divisors is an integer number (253985760).

Almost surely, 211302303110 is an apocalyptic number.

11302303110 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 11302303110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16255088640).

11302303110 is an abundant number, since it is smaller than the sum of its proper divisors (21207874170).

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

11302303110 is a wasteful number, since it uses less digits than its factorization.

11302303110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25542.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 11302303110 its reverse (1130320311), we get a palindrome (12432623421).

The spelling of 11302303110 in words is "eleven billion, three hundred two million, three hundred three thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 70 73 87 105 145 146 174 203 210 219 290 365 406 435 438 511 609 730 870 1015 1022 1095 1218 1533 2030 2117 2190 2555 3045 3066 4234 5110 6090 6351 7665 10585 12702 14819 15330 21170 25423 29638 31755 44457 50846 63510 74095 76269 88914 127115 148190 152538 177961 222285 254230 355922 381345 444570 533883 737267 762690 889805 1067766 1474534 1779610 1855879 2211801 2669415 3686335 3711758 4423602 5160869 5338830 5567637 7372670 9279395 10321738 11059005 11135274 12991153 15482607 18558790 22118010 25804345 25982306 27838185 30965214 38973459 51608690 53820491 55676370 64955765 77413035 77946918 107640982 129911530 154826070 161461473 194867295 269102455 322922946 376743437 389734590 538204910 753486874 807307365 1130230311 1614614730 1883717185 2260460622 3767434370 5651151555 11302303110