Search a number
-
+
11123215503000 = 2335330011235501
BaseRepresentation
bin1010000111011101001101…
…0011110000111010011000
31110101100222000100202200120
42201313103103300322120
52424220321132044000
635353533515233240
72225424435525126
oct241672323607230
943340860322616
1011123215503000
1135a9369196027
1212b7906448820
13628bb7847503
142a651b980916
15144518ac16a0
hexa1dd34f0e98

11123215503000 has 128 divisors (see below), whose sum is σ = 34716024757440. Its totient is φ = 2965200000000.

The previous prime is 11123215502969. The next prime is 11123215503011. The reversal of 11123215503000 is 30551232111.

11123215503000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 8385250 + ... + 9620750.

Almost surely, 211123215503000 is an apocalyptic number.

11123215503000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11123215503000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17358012378720).

11123215503000 is an abundant number, since it is smaller than the sum of its proper divisors (23592809254440).

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

11123215503000 is a wasteful number, since it uses less digits than its factorization.

11123215503000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238526 (or 1238512 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 11123215503000 its reverse (30551232111), we get a palindrome (11153766735111).

The spelling of 11123215503000 in words is "eleven trillion, one hundred twenty-three billion, two hundred fifteen million, five hundred three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 3001 6002 9003 12004 15005 18006 24008 30010 36012 45015 60020 72024 75025 90030 120040 150050 180060 225075 300100 360120 375125 450150 600200 750250 900300 1125375 1235501 1500500 1800600 2250750 2471002 3001000 3706503 4501500 4942004 6177505 7413006 9003000 9884008 12355010 14826012 18532515 24710020 29652024 30887525 37065030 49420040 61775050 74130060 92662575 123550100 148260120 154437625 185325150 247100200 308875250 370650300 463312875 617750500 741300600 926625750 1235501000 1853251500 3706503000 3707738501 7415477002 11123215503 14830954004 18538692505 22246431006 29661908008 37077385010 44492862012 55616077515 74154770020 88985724024 92693462525 111232155030 148309540040 185386925050 222464310060 278080387575 370773850100 444928620120 463467312625 556160775150 741547700200 926934625250 1112321550300 1390401937875 1853869250500 2224643100600 2780803875750 3707738501000 5561607751500 11123215503000