Search a number
-
+
11020010000000 = 27571102001
BaseRepresentation
bin1010000001011100101111…
…0010000000111010000000
31110000111120102222222222112
42200113023302000322000
52421022440030000000
635234304523154452
72215112056316621
oct240271362007200
943014512888875
1011020010000000
1135696183990a1
12129b903075a28
1361c24abc0541
142a152ad01a48
151419c824d235
hexa05cbc80e80

11020010000000 has 128 divisors (see below), whose sum is σ = 27442362364560. Its totient is φ = 4408000000000.

The previous prime is 11020009999997. The next prime is 11020010000003. The reversal of 11020010000000 is 1002011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11020009999997) and next prime (11020010000003).

It can be written as a sum of positive squares in 8 ways, for example, as 7054463488576 + 3965546511424 = 2656024^2 + 1991368^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (5).

It is not an unprimeable number, because it can be changed into a prime (11020010000003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9449000 + ... + 10551000.

Almost surely, 211020010000000 is an apocalyptic number.

11020010000000 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 11020010000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13721181182280).

11020010000000 is an abundant number, since it is smaller than the sum of its proper divisors (16422352364560).

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

11020010000000 is an frugal number, since it uses more digits than its factorization.

11020010000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102050 (or 1102008 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 11020010000000 its reverse (1002011), we get a palindrome (11020011002011).

The spelling of 11020010000000 in words is "eleven trillion, twenty billion, ten million", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 15625 16000 20000 25000 31250 40000 50000 62500 78125 80000 100000 125000 156250 200000 250000 312500 400000 500000 625000 1000000 1102001 1250000 2000000 2204002 2500000 4408004 5000000 5510005 8816008 10000000 11020010 17632016 22040020 27550025 35264032 44080040 55100050 70528064 88160080 110200100 137750125 141056128 176320160 220400200 275500250 352640320 440800400 551000500 688750625 705280640 881600800 1102001000 1377501250 1763201600 2204002000 2755002500 3443753125 3526403200 4408004000 5510005000 6887506250 8816008000 11020010000 13775012500 17218765625 17632016000 22040020000 27550025000 34437531250 44080040000 55100050000 68875062500 86093828125 88160080000 110200100000 137750125000 172187656250 220400200000 275500250000 344375312500 440800400000 551000500000 688750625000 1102001000000 1377501250000 2204002000000 2755002500000 5510005000000 11020010000000