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11013100033 = 138910978677
BaseRepresentation
bin10100100000110111…
…01001001000000001
31001102112002110002211
422100123221020001
5140023323200113
65020452542121
7536625543235
oct122033511001
931375073084
1011013100033
114741676071
122174321941
131066863250
147669205c5
15446ccab3d
hex2906e9201

11013100033 has 16 divisors (see below), whose sum is σ = 12005839440. Its totient is φ = 10041394176.

The previous prime is 11013100031. The next prime is 11013100103. The reversal of 11013100033 is 33000131011.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3474866704 + 7538233329 = 58948^2 + 86823^2 .

It is a cyclic number.

It is not a de Polignac number, because 11013100033 - 21 = 11013100031 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11013099986 and 11013100022.

It is not an unprimeable number, because it can be changed into a prime (11013100031) 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, 1264891 + ... + 1273567.

It is an arithmetic number, because the mean of its divisors is an integer number (750364965).

Almost surely, 211013100033 is an apocalyptic number.

11013100033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11013100033 is a deficient number, since it is larger than the sum of its proper divisors (992739407).

11013100033 is a wasteful number, since it uses less digits than its factorization.

11013100033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9876.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 11013100033 its reverse (33000131011), we get a palindrome (44013231044).

The spelling of 11013100033 in words is "eleven billion, thirteen million, one hundred thousand, thirty-three".

Divisors: 1 13 89 1097 1157 8677 14261 97633 112801 772253 1269229 9518669 10039289 123742697 847161541 11013100033