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10540110328 = 231110110711083
BaseRepresentation
bin10011101000011110…
…10101000111111000
31000012120002002012121
421310033111013320
5133041232012303
64501515051024
7522123313426
oct116417250770
930176062177
1010540110328
114519687990
122061a40a74
13cbc877397
1471db9a116
1541a4ea9bd
hex2743d51f8

10540110328 has 64 divisors (see below), whose sum is σ = 21978241920. Its totient is φ = 4698768000.

The previous prime is 10540110253. The next prime is 10540110337. The reversal of 10540110328 is 82301104501.

It is a super-2 number, since 2×105401103282 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 945475 + ... + 956557.

It is an arithmetic number, because the mean of its divisors is an integer number (343410030).

Almost surely, 210540110328 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 10540110328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10989120960).

10540110328 is an abundant number, since it is smaller than the sum of its proper divisors (11438131592).

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

10540110328 is a wasteful number, since it uses less digits than its factorization.

10540110328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11308 (or 11304 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

Adding to 10540110328 its reverse (82301104501), we get a palindrome (92841214829).

The spelling of 10540110328 in words is "ten billion, five hundred forty million, one hundred ten thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 22 44 88 101 107 202 214 404 428 808 856 1111 1177 2222 2354 4444 4708 8888 9416 10807 11083 21614 22166 43228 44332 86456 88664 118877 121913 237754 243826 475508 487652 951016 975304 1119383 1185881 2238766 2371762 4477532 4743524 8955064 9487048 12313213 13044691 24626426 26089382 49252852 52178764 98505704 104357528 119773981 239547962 479095924 958191848 1317513791 2635027582 5270055164 10540110328