Search a number
-
+
23210113100 = 225219791011531
BaseRepresentation
bin10101100111011011…
…100011100001001100
32012220112220220120112
4111213123203201030
5340013242104400
614355041135152
71451111464136
oct254733434114
965815826515
1023210113100
11993055a559
1245b902a4b8
13225b777645
1411a2784056
1590c9b5835
hex5676e384c

23210113100 has 144 divisors (see below), whose sum is σ = 54254860800. Its totient is φ = 8592480000.

The previous prime is 23210113099. The next prime is 23210113127. The reversal of 23210113100 is 131101232.

It is a super-2 number, since 2×232101131002 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15159335 + ... + 15160865.

Almost surely, 223210113100 is an apocalyptic number.

23210113100 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 23210113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27127430400).

23210113100 is an abundant number, since it is smaller than the sum of its proper divisors (31044747700).

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

23210113100 is a wasteful number, since it uses less digits than its factorization.

23210113100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1744 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 23210113100 its reverse (131101232), we get a palindrome (23341214332).

The spelling of 23210113100 in words is "twenty-three billion, two hundred ten million, one hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 79 95 100 101 158 190 202 316 380 395 404 475 505 790 950 1010 1501 1531 1580 1900 1919 1975 2020 2525 3002 3062 3838 3950 5050 6004 6124 7505 7655 7676 7900 7979 9595 10100 15010 15310 15958 19190 29089 30020 30620 31916 37525 38275 38380 39895 47975 58178 75050 76550 79790 95950 116356 120949 145445 150100 151601 153100 154631 159580 191900 199475 241898 290890 303202 309262 398950 483796 581780 604745 606404 618524 727225 758005 773155 797900 1209490 1454450 1516010 1546310 2298031 2418980 2908900 2937989 3023725 3032020 3092620 3790025 3865775 4596062 5875978 6047450 7580050 7731550 9192124 11490155 11751956 12094900 12215849 14689945 15160100 15463100 22980310 24431698 29379890 45960620 48863396 57450775 58759780 61079245 73449725 114901550 122158490 146899450 229803100 232101131 244316980 293798900 305396225 464202262 610792450 928404524 1160505655 1221584900 2321011310 4642022620 5802528275 11605056550 23210113100