Search a number
-
+
11001022101210 = 23517611417724943
BaseRepresentation
bin1010000000010110000000…
…0000111011011011011010
31102221200120010220210120210
42200011200000323123122
52420220043124214320
635221444430431550
72213540403664251
oct240054000733332
942850503823523
1011001022101210
1135615641a8759
1212980a40625b6
1361a5130cbb7b
142a06491d7798
151412662a40e0
hexa016003b6da

11001022101210 has 128 divisors (see below), whose sum is σ = 28416969483264. Its totient is φ = 2715477442560.

The previous prime is 11001022101131. The next prime is 11001022101221. The reversal of 11001022101210 is 1210122010011.

It is a Curzon number.

It is an unprimeable number.

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, 441033999 + ... + 441058941.

It is an arithmetic number, because the mean of its divisors is an integer number (222007574088).

Almost surely, 211001022101210 is an apocalyptic number.

11001022101210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11001022101210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14208484741632).

11001022101210 is an abundant number, since it is smaller than the sum of its proper divisors (17415947382054).

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

11001022101210 is a wasteful number, since it uses less digits than its factorization.

11001022101210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39208.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11001022101210 its reverse (1210122010011), we get a palindrome (12211144111221).

The spelling of 11001022101210 in words is "eleven trillion, one billion, twenty-two million, one hundred one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 61 85 102 122 170 183 255 305 366 510 610 915 1037 1830 2074 3111 5185 6222 10370 14177 15555 24943 28354 31110 42531 49886 70885 74829 85062 124715 141770 149658 212655 241009 249430 374145 424031 425310 482018 723027 748290 848062 864797 1205045 1272093 1446054 1521523 1729594 2120155 2410090 2544186 2594391 3043046 3615135 4240310 4323985 4564569 5188782 6360465 7230270 7607615 8647970 9129138 12720930 12971955 14701549 15215230 22822845 25865891 25943910 29403098 44104647 45645690 51731782 73507745 77597673 88209294 129329455 147015490 155195346 220523235 258658910 353616911 387988365 441046470 707233822 775976730 1060850733 1768084555 2121701466 3536169110 5304253665 6011487487 10608507330 12022974974 18034462461 21570631571 30057437435 36068924922 43141263142 60114874870 64711894713 90172312305 107853157855 129423789426 180344624610 215706315710 323559473565 366700736707 647118947130 733401473414 1100102210121 1833503683535 2200204420242 3667007367070 5500511050605 11001022101210