Search a number
-
+
11120220121110 = 2356134691751693
BaseRepresentation
bin1010000111010010000011…
…0001010010100000010110
31110101002020021000121012120
42201310200301102200112
52424143202322333420
635352320354000410
72225260264305252
oct241644061224026
943332207017176
1011120220121110
1135a807139a301
1212b720b276106
1362882b0bbca9
142a6315c1b262
151443e0b40d40
hexa1d20c52816

11120220121110 has 64 divisors (see below), whose sum is σ = 27133880195520. Its totient is φ = 2915936570880.

The previous prime is 11120220121037. The next prime is 11120220121169. The reversal of 11120220121110 is 1112102202111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11120220121110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5472424 + ... + 7224116.

It is an arithmetic number, because the mean of its divisors is an integer number (423966878055).

Almost surely, 211120220121110 is an apocalyptic number.

11120220121110 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 11120220121110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13566940097760).

11120220121110 is an abundant number, since it is smaller than the sum of its proper divisors (16013660074410).

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

11120220121110 is a wasteful number, since it uses less digits than its factorization.

11120220121110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1755233.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11120220121110 its reverse (1112102202111), we get a palindrome (12232322323221).

The spelling of 11120220121110 in words is "eleven trillion, one hundred twenty billion, two hundred twenty million, one hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 61 122 183 305 366 610 915 1830 3469 6938 10407 17345 20814 34690 52035 104070 211609 423218 634827 1058045 1269654 1751693 2116090 3174135 3503386 5255079 6348270 8758465 10510158 17516930 26275395 52550790 106853273 213706546 320559819 534266365 641119638 1068532730 1602799095 3205598190 6076623017 12153246034 18229869051 30383115085 36459738102 60766230170 91149345255 182298690510 370674004037 741348008074 1112022012111 1853370020185 2224044024222 3706740040370 5560110060555 11120220121110