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11000202000021 = 32133732053122777
BaseRepresentation
bin1010000000010010111100…
…1000011111011010010101
31102221121102222202100020200
42200010233020133122111
52420211403203000041
635221231213051113
72213511155150553
oct240045710373225
942847388670220
1011000202000021
113561183288583
121297ab5486a99
1361a41222b7b0
142a05ac318bd3
151412192ab1b6
hexa012f21f695

11000202000021 has 48 divisors (see below), whose sum is σ = 17165797464816. Its totient is φ = 6747863251968.

The previous prime is 11000201999957. The next prime is 11000202000023. The reversal of 11000202000021 is 12000020200011.

It can be written as a sum of positive squares in 8 ways, for example, as 2637197363025 + 8363004636996 = 1623945^2 + 2891886^2 .

It is not a de Polignac number, because 11000202000021 - 26 = 11000201999957 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11000201999967 and 11000202000012.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89533585 + ... + 89656361.

It is an arithmetic number, because the mean of its divisors is an integer number (357620780517).

Almost surely, 211000202000021 is an apocalyptic number.

It is an amenable number.

11000202000021 is a deficient number, since it is larger than the sum of its proper divisors (6165595464795).

11000202000021 is a wasteful number, since it uses less digits than its factorization.

11000202000021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125222 (or 125219 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 11000202000021 its reverse (12000020200011), we get a palindrome (23000222200032).

The spelling of 11000202000021 in words is "eleven trillion, two hundred two million, twenty-one", and thus it is an aban number.

Divisors: 1 3 9 13 39 117 373 1119 2053 3357 4849 6159 14547 18477 26689 43641 80067 122777 240201 368331 765769 1104993 1596101 2297307 4788303 6891921 9954997 14364909 29864991 45795821 89594973 137387463 252061181 412162389 595345673 756183543 1786037019 2268550629 3276795353 5358111057 9830386059 29491158177 94018820513 282056461539 846169384617 1222244666669 3666734000007 11000202000021