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10533030400 = 2952822893
BaseRepresentation
bin10011100111101000…
…10100101000000000
31000012001202101101001
421303310110220000
5133032423433100
64501103221344
7522006165304
oct116364245000
930161671331
1010533030400
114515691702
12205b5a7854
13cbb268989
1471cc75d04
15419a9cd6a
hex273d14a00

10533030400 has 60 divisors (see below), whose sum is σ = 26096437422. Its totient is φ = 4213207040.

The previous prime is 10533030397. The next prime is 10533030407. The reversal of 10533030400 is 403033501.

It can be written as a sum of positive squares in 3 ways, for example, as 6919577856 + 3613452544 = 83184^2 + 60112^2 .

It is a super-2 number, since 2×105330304002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10533030407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 398647 + ... + 424246.

Almost surely, 210533030400 is an apocalyptic number.

10533030400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10533030400 is an abundant number, since it is smaller than the sum of its proper divisors (15563407022).

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

10533030400 is an frugal number, since it uses more digits than its factorization.

10533030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822921 (or 822900 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 19.

Adding to 10533030400 its reverse (403033501), we get a palindrome (10936063901).

The spelling of 10533030400 in words is "ten billion, five hundred thirty-three million, thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1280 1600 2560 3200 6400 12800 822893 1645786 3291572 4114465 6583144 8228930 13166288 16457860 20572325 26332576 32915720 41144650 52665152 65831440 82289300 105330304 131662880 164578600 210660608 263325760 329157200 421321216 526651520 658314400 1053303040 1316628800 2106606080 2633257600 5266515200 10533030400