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23311123020 = 22325435951047
BaseRepresentation
bin10101101101011100…
…111000001001001100
32020011120222202010200
4111231130320021030
5340220121414040
614413050133500
71453446163533
oct255534701114
966146882120
1023311123020
119982580829
124626a21290
132276682a23
1411b1d5931a
159167b9630
hex56d73824c

23311123020 has 144 divisors (see below), whose sum is σ = 73582629120. Its totient is φ = 5968706688.

The previous prime is 23311123007. The next prime is 23311123037. The reversal of 23311123020 is 2032111332.

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 = 23311122984 and 23311123002.

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 47 ways as a sum of consecutive naturals, for example, 431137 + ... + 482183.

It is an arithmetic number, because the mean of its divisors is an integer number (510990480).

Almost surely, 223311123020 is an apocalyptic number.

23311123020 is a gapful number since it is divisible by the number (20) 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 23311123020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36791314560).

23311123020 is an abundant number, since it is smaller than the sum of its proper divisors (50271506100).

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

23311123020 is a wasteful number, since it uses less digits than its factorization.

23311123020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51164 (or 51159 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 23311123020 its reverse (2032111332), we get a palindrome (25343234352).

The spelling of 23311123020 in words is "twenty-three billion, three hundred eleven million, one hundred twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 59 60 86 90 118 129 172 177 180 215 236 258 295 354 387 430 516 531 590 645 708 774 860 885 1062 1180 1290 1548 1770 1935 2124 2537 2580 2655 3540 3870 5074 5310 7611 7740 10148 10620 12685 15222 22833 25370 30444 38055 45666 50740 51047 76110 91332 102094 114165 152220 153141 204188 228330 255235 306282 456660 459423 510470 612564 765705 918846 1020940 1531410 1837692 2195021 2297115 3011773 3062820 4390042 4594230 6023546 6585063 8780084 9035319 9188460 10975105 12047092 13170126 15058865 18070638 19755189 21950210 26340252 27105957 30117730 32925315 36141276 39510378 43900420 45176595 54211914 60235460 65850630 79020756 90353190 98775945 108423828 129506239 131701260 135529785 180706380 197551890 259012478 271059570 388518717 395103780 518024956 542119140 647531195 777037434 1165556151 1295062390 1554074868 1942593585 2331112302 2590124780 3885187170 4662224604 5827780755 7770374340 11655561510 23311123020