Search a number
-
+
201112402322100 = 223522931745689293
BaseRepresentation
bin101101101110100100100001…
…010011001110001010110100
3222101002011021002212001211010
4231232210201103032022310
5202330011144443301400
61551421432343512220
760234614545121523
oct5556444123161264
9871064232761733
10201112402322100
1159098322137515
121a680b20758670
13882aa83674189
143793c6c3164ba
15183b5dd782450
hexb6e9214ce2b4

201112402322100 has 144 divisors (see below), whose sum is σ = 621367974904320. Its totient is φ = 50110320422400.

The previous prime is 201112402322093. The next prime is 201112402322101. The reversal of 201112402322100 is 1223204211102.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201112402322101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 372574947 + ... + 373114346.

It is an arithmetic number, because the mean of its divisors is an integer number (4315055381280).

Almost surely, 2201112402322100 is an apocalyptic number.

201112402322100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201112402322100 is an abundant number, since it is smaller than the sum of its proper divisors (420255572582220).

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

201112402322100 is a wasteful number, since it uses less digits than its factorization.

201112402322100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745689370 (or 745689363 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 201112402322100 its reverse (1223204211102), we get a palindrome (202335606533202).

The spelling of 201112402322100 in words is "two hundred one trillion, one hundred twelve billion, four hundred two million, three hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 31 50 58 60 62 75 87 93 100 116 124 145 150 155 174 186 290 300 310 348 372 435 465 580 620 725 775 870 899 930 1450 1550 1740 1798 1860 2175 2325 2697 2900 3100 3596 4350 4495 4650 5394 8700 8990 9300 10788 13485 17980 22475 26970 44950 53940 67425 89900 134850 269700 745689293 1491378586 2237067879 2982757172 3728446465 4474135758 7456892930 8948271516 11185339395 14913785860 18642232325 21624989497 22370678790 23116368083 37284464650 43249978994 44741357580 46232736166 55926696975 64874968491 69349104249 74568929300 86499957988 92465472332 108124947485 111853393950 115581840415 129749936982 138698208498 216249894970 223706787900 231163680830 259499873964 277396416996 324374842455 346745521245 432499789940 462327361660 540624737425 577909202075 648749684910 670374674407 693491042490 1081249474850 1155818404150 1297499369820 1340749348814 1386982084980 1621874212275 1733727606225 2011124023221 2162498949700 2311636808300 2681498697628 3243748424550 3351873372035 3467455212450 4022248046442 6487496849100 6703746744070 6934910424900 8044496092884 10055620116105 13407493488140 16759366860175 20111240232210 33518733720350 40222480464420 50278100580525 67037467440700 100556201161050 201112402322100