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11000202000020 = 2251105814973821
BaseRepresentation
bin1010000000010010111100…
…1000011111011010010100
31102221121102222202100020122
42200010233020133122110
52420211403203000040
635221231213051112
72213511155150552
oct240045710373224
942847388670218
1011000202000020
113561183288582
121297ab5486a98
1361a41222b7ac
142a05ac318bd2
151412192ab1b5
hexa012f21f694

11000202000020 has 24 divisors (see below), whose sum is σ = 23100637744968. Its totient is φ = 4400040124800.

The previous prime is 11000201999957. The next prime is 11000202000023. The reversal of 11000202000020 is 2000020200011.

It can be written as a sum of positive squares in 4 ways, for example, as 4377618860176 + 6622583139844 = 2092276^2 + 2573438^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11000201999971 and 11000202000007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000202000023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 275291 + ... + 4698530.

It is an arithmetic number, because the mean of its divisors is an integer number (962526572707).

Almost surely, 211000202000020 is an apocalyptic number.

11000202000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000202000020 is an abundant number, since it is smaller than the sum of its proper divisors (12100435744948).

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

11000202000020 is a wasteful number, since it uses less digits than its factorization.

11000202000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5084411 (or 5084409 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 11000202000020 its reverse (2000020200011), we get a palindrome (13000222200031).

The spelling of 11000202000020 in words is "eleven trillion, two hundred two million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 110581 221162 442324 552905 1105810 2211620 4973821 9947642 19895284 24869105 49738210 99476420 550010100001 1100020200002 2200040400004 2750050500005 5500101000010 11000202000020