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11330213024 = 2513257105977
BaseRepresentation
bin10101000110101010…
…10101010010100000
31002020121210110100102
422203111111102200
5141201013304044
65112141441532
7550526136014
oct124325252240
932217713312
1011330213024
114894678819
1222425702a8
1310b7473380
14796aaa544
15464a6a24e
hex2a35554a0

11330213024 has 48 divisors (see below), whose sum is σ = 24115929768. Its totient is φ = 5208932352.

The previous prime is 11330213009. The next prime is 11330213039. The reversal of 11330213024 is 42031203311.

It is an interprime number because it is at equal distance from previous prime (11330213009) and next prime (11330213039).

It can be written as a sum of positive squares in 4 ways, for example, as 10604880400 + 725332624 = 102980^2 + 26932^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11330212987 and 11330213005.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53924 + ... + 159900.

Almost surely, 211330213024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11330213024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12057964884).

11330213024 is an abundant number, since it is smaller than the sum of its proper divisors (12785716744).

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

11330213024 is a wasteful number, since it uses less digits than its factorization.

11330213024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106257 (or 106249 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 11330213024 its reverse (42031203311), we get a palindrome (53361416335).

The spelling of 11330213024 in words is "eleven billion, three hundred thirty million, two hundred thirteen thousand, twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 257 416 514 1028 2056 3341 4112 6682 8224 13364 26728 53456 105977 106912 211954 423908 847816 1377701 1695632 2755402 3391264 5510804 11021608 22043216 27236089 44086432 54472178 108944356 217888712 354069157 435777424 708138314 871554848 1416276628 2832553256 5665106512 11330213024