Search a number
-
+
11111101100010 = 23253720271646111
BaseRepresentation
bin1010000110110000000100…
…1110111110111111101010
31110100012200201222022221100
42201230001032332333222
52424021013340200020
635344211441422230
72224515305021022
oct241540116767752
943305621868840
1011111101100010
1135a42119a582a
1212b54a533a976
13627a06a98512
142a5accaa2a82
1514405a2a3a90
hexa1b013befea

11111101100010 has 96 divisors (see below), whose sum is σ = 29684298189312. Its totient is φ = 2881456295040.

The previous prime is 11111101099991. The next prime is 11111101100051. The reversal of 11111101100010 is 1000110111111.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11111101099965 and 11111101100001.

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, 5926855 + ... + 7572965.

It is an arithmetic number, because the mean of its divisors is an integer number (309211439472).

Almost surely, 211111101100010 is an apocalyptic number.

11111101100010 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 11111101100010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14842149094656).

11111101100010 is an abundant number, since it is smaller than the sum of its proper divisors (18573197089302).

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

11111101100010 is a wasteful number, since it uses less digits than its factorization.

11111101100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648188 (or 1648185 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 11111101100010 its reverse (1000110111111), we get a palindrome (12111211211121).

The spelling of 11111101100010 in words is "eleven trillion, one hundred eleven billion, one hundred one million, one hundred thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 2027 3330 4054 6081 10135 12162 18243 20270 30405 36486 60810 74999 91215 149998 182430 224997 374995 449994 674991 749990 1124985 1349982 1646111 2249970 3292222 3374955 4938333 6749910 8230555 9876666 14814999 16461110 24691665 29629998 49383330 60906107 74074995 121812214 148149990 182718321 304530535 365436642 548154963 609061070 913591605 1096309926 1827183210 2740774815 3336666997 5481549630 6673333994 10010000991 16683334985 20020001982 30030002973 33366669970 50050004955 60060005946 100100009910 123456678889 150150014865 246913357778 300300029730 370370036667 617283394445 740740073334 1111110110001 1234566788890 1851850183335 2222220220002 3703700366670 5555550550005 11111101100010