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23130223100 = 22522919740487
BaseRepresentation
bin10101100010101010…
…110011000111111100
32012200222121002002122
4111202222303013330
5334332314114400
614343104542112
71446121436525
oct254252630774
965628532078
1023130223100
11989a453a66
124596321938
13224805535a
141195d0984c
15905984685
hex562ab31fc

23130223100 has 72 divisors (see below), whose sum is σ = 52188222240. Its totient is φ = 8887486720.

The previous prime is 23130223073. The next prime is 23130223133. The reversal of 23130223100 is 132203132.

It is a super-2 number, since 2×231302231002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 551057 + ... + 591543.

It is an arithmetic number, because the mean of its divisors is an integer number (724836420).

Almost surely, 223130223100 is an apocalyptic number.

23130223100 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 23130223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26094111120).

23130223100 is an abundant number, since it is smaller than the sum of its proper divisors (29057999140).

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

23130223100 is a wasteful number, since it uses less digits than its factorization.

23130223100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40727 (or 40720 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 23130223100 its reverse (132203132), we get a palindrome (23262426232).

The spelling of 23130223100 in words is "twenty-three billion, one hundred thirty million, two hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 197 290 394 580 725 788 985 1450 1970 2900 3940 4925 5713 9850 11426 19700 22852 28565 40487 57130 80974 114260 142825 161948 202435 285650 404870 571300 809740 1012175 1174123 2024350 2348246 4048700 4696492 5870615 7975939 11741230 15951878 23482460 29353075 31903756 39879695 58706150 79759390 117412300 159518780 199398475 231302231 398796950 462604462 797593900 925208924 1156511155 2313022310 4626044620 5782555775 11565111550 23130223100