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10540044333 = 3271353242819
BaseRepresentation
bin10011101000011110…
…00101000000101101
31000012112221201200100
421310033011000231
5133041222404313
64501513421313
7522122620140
oct116417050055
930175851610
1010540044333
114519642345
122061a0a839
13cbc853330
1471db80057
1541a4d6173
hex2743c502d

10540044333 has 48 divisors (see below), whose sum is σ = 19091479680. Its totient is φ = 5454663552.

The previous prime is 10540044329. The next prime is 10540044367. The reversal of 10540044333 is 33344004501.

It is not a de Polignac number, because 10540044333 - 22 = 10540044329 is a prime.

It is a super-2 number, since 2×105400443332 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10540044297 and 10540044306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10540044233) 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, 78003 + ... + 164816.

It is an arithmetic number, because the mean of its divisors is an integer number (397739160).

Almost surely, 210540044333 is an apocalyptic number.

10540044333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10540044333 is a deficient number, since it is larger than the sum of its proper divisors (8551435347).

10540044333 is a wasteful number, since it uses less digits than its factorization.

10540044333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242898 (or 242895 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 10540044333 its reverse (33344004501), we get a palindrome (43884048834).

The spelling of 10540044333 in words is "ten billion, five hundred forty million, forty-four thousand, three hundred thirty-three".

Divisors: 1 3 7 9 13 21 39 53 63 91 117 159 273 371 477 689 819 1113 2067 3339 4823 6201 14469 43407 242819 728457 1699733 2185371 3156647 5099199 9469941 12869407 15297597 22096529 28409823 38608221 66289587 90085849 115824663 167302291 198868761 270257547 501906873 810772641 1171116037 1505720619 3513348111 10540044333