Search a number
-
+
11100010111112 = 2313475993791101
BaseRepresentation
bin1010000110000110110000…
…1010001110000010001000
31110022011001210022201101202
42201201230022032002020
52423330310042023422
635335135123203332
72223643412123306
oct241415412160210
943264053281352
1011100010111112
11359a5403706aa
1212b330ab16548
1362695a063ab0
142a5359aa9276
15143b0b73eb92
hexa186c28e088

11100010111112 has 64 divisors (see below), whose sum is σ = 22928584896000. Its totient is φ = 5005707782400.

The previous prime is 11100010111079. The next prime is 11100010111163. The reversal of 11100010111112 is 21111101000111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11100010111093 and 11100010111102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1032362 + ... + 4823462.

It is an arithmetic number, because the mean of its divisors is an integer number (358259139000).

Almost surely, 211100010111112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11100010111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11464292448000).

11100010111112 is an abundant number, since it is smaller than the sum of its proper divisors (11828574784888).

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

11100010111112 is a wasteful number, since it uses less digits than its factorization.

11100010111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3791766 (or 3791762 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 11100010111112 its reverse (21111101000111), we get a palindrome (32211111111223).

The spelling of 11100010111112 in words is "eleven trillion, one hundred billion, ten million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 4 8 13 26 47 52 94 104 188 376 599 611 1198 1222 2396 2444 4792 4888 7787 15574 28153 31148 56306 62296 112612 225224 365989 731978 1463956 2927912 3791101 7582202 15164404 30328808 49284313 98568626 178181747 197137252 356363494 394274504 712726988 1425453976 2270869499 2316362711 4541738998 4632725422 9083477996 9265450844 18166955992 18530901688 29521303487 59042606974 106730866453 118085213948 213461732906 236170427896 426923465812 853846931624 1387501263889 2775002527778 5550005055556 11100010111112