Search a number
-
+
11000020210000 = 245410273107077
BaseRepresentation
bin1010000000010010010001…
…0011000001000101010000
31102221120222022200110012221
42200010210103001011100
52420211020133210000
635221201200430424
72213503520025523
oct240044423010520
942846868613187
1011000020210000
11356109a702a98
121297a64618414
1361a3b367bc33
142a0592116bba
1514120834c61a
hexa01244c1150

11000020210000 has 100 divisors (see below), whose sum is σ = 26634990115492. Its totient is φ = 4399538688000.

The previous prime is 11000020209991. The next prime is 11000020210043. The reversal of 11000020210000 is 1202000011.

It can be written as a sum of positive squares in 10 ways, for example, as 10374016440384 + 626003769616 = 3220872^2 + 791204^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 102676462 + ... + 102783538.

Almost surely, 211000020210000 is an apocalyptic number.

11000020210000 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 11000020210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13317495057746).

11000020210000 is an abundant number, since it is smaller than the sum of its proper divisors (15634969905492).

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

11000020210000 is a wasteful number, since it uses less digits than its factorization.

11000020210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117378 (or 117357 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 11000020210000 its reverse (1202000011), we get a palindrome (11001222210011).

The spelling of 11000020210000 in words is "eleven trillion, twenty million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 10273 20546 41092 51365 82184 102730 107077 164368 205460 214154 256825 410920 428308 513650 535385 821840 856616 1027300 1070770 1284125 1713232 2054600 2141540 2568250 2676925 4109200 4283080 5136500 5353850 6420625 8566160 10273000 10707700 12841250 13384625 20546000 21415400 25682500 26769250 42830800 51365000 53538500 66923125 102730000 107077000 133846250 214154000 267692500 535385000 1070770000 1100002021 2200004042 4400008084 5500010105 8800016168 11000020210 17600032336 22000040420 27500050525 44000080840 55000101050 88000161680 110000202100 137500252625 220000404200 275000505250 440000808400 550001010500 687501263125 1100002021000 1375002526250 2200004042000 2750005052500 5500010105000 11000020210000