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11430223020 = 22325174386869
BaseRepresentation
bin10101010010100101…
…10101110010101100
31002111120222111021100
422221102311302230
5141402114114040
65130113203100
7553152202236
oct125122656254
932446874240
1011430223020
114936076807
12226bb60490
1311020bb598
147a60a1256
1546d722b30
hex2a94b5cac

11430223020 has 144 divisors (see below), whose sum is σ = 37565367840. Its totient is φ = 2802014208.

The previous prime is 11430222967. The next prime is 11430223027. The reversal of 11430223020 is 2032203411.

11430223020 is a `hidden beast` number, since 1 + 1 + 430 + 2 + 230 + 2 + 0 = 666.

11430223020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11430222984 and 11430223002.

It is not an unprimeable number, because it can be changed into a prime (11430223027) 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 47 ways as a sum of consecutive naturals, for example, 88146 + ... + 175014.

It is an arithmetic number, because the mean of its divisors is an integer number (260870610).

Almost surely, 211430223020 is an apocalyptic number.

11430223020 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 11430223020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18782683920).

11430223020 is an abundant number, since it is smaller than the sum of its proper divisors (26135144820).

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

11430223020 is a wasteful number, since it uses less digits than its factorization.

11430223020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86944 (or 86939 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 11430223020 its reverse (2032203411), we get a palindrome (13462426431).

The spelling of 11430223020 in words is "eleven billion, four hundred thirty million, two hundred twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 43 45 51 60 68 85 86 90 102 129 153 170 172 180 204 215 255 258 306 340 387 430 510 516 612 645 731 765 774 860 1020 1290 1462 1530 1548 1935 2193 2580 2924 3060 3655 3870 4386 6579 7310 7740 8772 10965 13158 14620 21930 26316 32895 43860 65790 86869 131580 173738 260607 347476 434345 521214 781821 868690 1042428 1303035 1476773 1563642 1737380 2606070 2953546 3127284 3735367 3909105 4430319 5212140 5907092 7383865 7470734 7818210 8860638 11206101 13290957 14767730 14941468 15636420 17721276 18676835 22151595 22412202 26581914 29535460 33618303 37353670 44303190 44824404 53163828 56030505 63501239 66454785 67236606 74707340 88606380 112061010 127002478 132909570 134473212 168091515 190503717 224122020 254004956 265819140 317506195 336183030 381007434 571511151 635012390 672366060 762014868 952518585 1143022302 1270024780 1905037170 2286044604 2857555755 3810074340 5715111510 11430223020