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23431012100 = 22523141184351
BaseRepresentation
bin10101110100100110…
…001101111100000100
32020110221120202000222
4111310212031330010
5340441314341400
614433011523512
71456433213426
oct256446157404
966427522028
1023431012100
119a34217211
12465abb9598
13229546b302
1411c3c46816
1592209c185
hex57498df04

23431012100 has 72 divisors (see below), whose sum is σ = 53765892096. Its totient is φ = 8848800000.

The previous prime is 23431012091. The next prime is 23431012103. The reversal of 23431012100 is 121013432.

It is not an unprimeable number, because it can be changed into a prime (23431012103) 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 23 ways as a sum of consecutive naturals, for example, 34925 + ... + 219275.

Almost surely, 223431012100 is an apocalyptic number.

23431012100 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 23431012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26882946048).

23431012100 is an abundant number, since it is smaller than the sum of its proper divisors (30334879996).

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

23431012100 is a wasteful number, since it uses less digits than its factorization.

23431012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184437 (or 184430 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 23431012100 its reverse (121013432), we get a palindrome (23552025532).

The spelling of 23431012100 in words is "twenty-three billion, four hundred thirty-one million, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 41 50 62 82 100 124 155 164 205 310 410 620 775 820 1025 1271 1550 2050 2542 3100 4100 5084 6355 12710 25420 31775 63550 127100 184351 368702 737404 921755 1843510 3687020 4608775 5714881 7558391 9217550 11429762 15116782 18435100 22859524 28574405 30233564 37791955 57148810 75583910 114297620 142872025 151167820 188959775 234310121 285744050 377919550 468620242 571488100 755839100 937240484 1171550605 2343101210 4686202420 5857753025 11715506050 23431012100