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11332430410 = 257299723197
BaseRepresentation
bin10101000110111011…
…10010101001001010
31002020202222010000211
422203131302221022
5141202100233120
65112301151334
7550554032500
oct124335625112
932222863024
1011332430410
114895952774
12224325b54a
1310b7a6b732
147970c6670
15464d5725a
hex2a3772a4a

11332430410 has 48 divisors (see below), whose sum is σ = 23753545704. Its totient is φ = 3881340288.

The previous prime is 11332430387. The next prime is 11332430443. The reversal of 11332430410 is 1403423311.

11332430410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7778005249 + 3554425161 = 88193^2 + 59619^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 476932 + ... + 500128.

Almost surely, 211332430410 is an apocalyptic number.

11332430410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11332430410 is an abundant number, since it is smaller than the sum of its proper divisors (12421115294).

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

11332430410 is a wasteful number, since it uses less digits than its factorization.

11332430410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24215 (or 24208 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 11332430410 its reverse (1403423311), we get a palindrome (12735853721).

The spelling of 11332430410 in words is "eleven billion, three hundred thirty-two million, four hundred thirty thousand, four hundred ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 997 1994 4985 6979 9970 13958 23197 34895 46394 48853 69790 97706 115985 162379 231970 244265 324758 488530 811895 1136653 1623790 2273306 5683265 11366530 23127409 46254818 115637045 161891863 231274090 323783726 809459315 1133243041 1618918630 2266486082 5666215205 11332430410