Search a number
-
+
2201110220010 = 23513293184710429
BaseRepresentation
bin100000000001111100011…
…001001000110011101010
321210102110011012120000010
4200001330121020303222
5242030333204020020
64403102010552350
7315011364112062
oct40017431106352
97712404176003
102201110220010
11779538377789
122b670b4386b6
1312c7438a1c60
147876a1b03a2
153c3c8b55de0
hex2007c648cea

2201110220010 has 128 divisors (see below), whose sum is σ = 5712078113280. Its totient is φ = 539618466816.

The previous prime is 2201110220009. The next prime is 2201110220017. The reversal of 2201110220010 is 100220111022.

It is not an unprimeable number, because it can be changed into a prime (2201110220017) 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 63 ways as a sum of consecutive naturals, for example, 211051476 + ... + 211061904.

It is an arithmetic number, because the mean of its divisors is an integer number (44625610260).

Almost surely, 22201110220010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2201110220010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2856039056640).

2201110220010 is an abundant number, since it is smaller than the sum of its proper divisors (3510967893270).

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

2201110220010 is a wasteful number, since it uses less digits than its factorization.

2201110220010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12592.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2201110220010 its reverse (100220111022), we get a palindrome (2301330331032).

The spelling of 2201110220010 in words is "two trillion, two hundred one billion, one hundred ten million, two hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 293 390 586 879 1465 1758 1847 2930 3694 3809 4395 5541 7618 8790 9235 10429 11082 11427 18470 19045 20858 22854 24011 27705 31287 38090 48022 52145 55410 57135 62574 72033 104290 114270 120055 135577 144066 156435 240110 271154 312870 360165 406731 541171 677885 720330 813462 1082342 1355770 1623513 2033655 2705855 3055697 3247026 4067310 5411710 6111394 7035223 8117565 9167091 14070446 15278485 16235130 18334182 19262363 21105669 30556970 35176115 38524726 39724061 42211338 45835455 57787089 70352230 79448122 91670910 96311815 105528345 115574178 119172183 192623630 198620305 211056690 238344366 250410719 288935445 397240610 500821438 577870890 595860915 751232157 1191721830 1252053595 1502464314 2504107190 3756160785 5643872359 7512321570 11287744718 16931617077 28219361795 33863234154 56438723590 73370340667 84658085385 146740681334 169316170770 220111022001 366851703335 440222044002 733703406670 1100555110005 2201110220010