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23111220420 = 22325547234727
BaseRepresentation
bin10101100001100010…
…010011110011000100
32012122122211122022200
4111201202103303010
5334312433023140
614341145354500
71445501063241
oct254142236304
965578748280
1023111220420
11988a754a72
12458ba98a30
132244130b72
1411935a05c8
15903e7e030
hex561893cc4

23111220420 has 72 divisors (see below), whose sum is σ = 70232495424. Its totient is φ = 6151699008.

The previous prime is 23111220403. The next prime is 23111220421. The reversal of 23111220420 is 2402211132.

It is a happy number.

23111220420 is a `hidden beast` number, since 23 + 1 + 1 + 1 + 220 + 420 = 666.

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 = 23111220393 and 23111220402.

It is not an unprimeable number, because it can be changed into a prime (23111220421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18904 + ... + 215823.

Almost surely, 223111220420 is an apocalyptic number.

23111220420 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 23111220420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35116247712).

23111220420 is an abundant number, since it is smaller than the sum of its proper divisors (47121275004).

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

23111220420 is a wasteful number, since it uses less digits than its factorization.

23111220420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235289 (or 235284 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 23111220420 its reverse (2402211132), we get a palindrome (25513431552).

The spelling of 23111220420 in words is "twenty-three billion, one hundred eleven million, two hundred twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 547 1094 1641 2188 2735 3282 4923 5470 6564 8205 9846 10940 16410 19692 24615 32820 49230 98460 234727 469454 704181 938908 1173635 1408362 2112543 2347270 2816724 3520905 4225086 4694540 7041810 8450172 10562715 14083620 21125430 42250860 128395669 256791338 385187007 513582676 641978345 770374014 1155561021 1283956690 1540748028 1925935035 2311122042 2567913380 3851870070 4622244084 5777805105 7703740140 11555610210 23111220420