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10540115334 = 233737753619
BaseRepresentation
bin10011101000011110…
…10110010110000110
31000012120002100002000
421310033112112012
5133041232142314
64501515130130
7522123334140
oct116417262606
930176070060
1010540115334
114519690721
122061a43946
13cbc879748
1471db9bc90
1541a4ec209
hex2743d6586

10540115334 has 64 divisors (see below), whose sum is σ = 27492057600. Its totient is φ = 2930066784.

The previous prime is 10540115329. The next prime is 10540115363. The reversal of 10540115334 is 43351104501.

It is a happy number.

10540115334 is a `hidden beast` number, since 1 + 0 + 540 + 115 + 3 + 3 + 4 = 666.

10540115334 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105401153342 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10540115298 and 10540115307.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 362824 + ... + 390795.

It is an arithmetic number, because the mean of its divisors is an integer number (429563400).

Almost surely, 210540115334 is an apocalyptic number.

10540115334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10540115334 is an abundant number, since it is smaller than the sum of its proper divisors (16951942266).

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

10540115334 is a wasteful number, since it uses less digits than its factorization.

10540115334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753674 (or 753668 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 10540115334 its reverse (43351104501), we get a palindrome (53891219835).

The spelling of 10540115334 in words is "ten billion, five hundred forty million, one hundred fifteen thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 37 42 54 63 74 111 126 189 222 259 333 378 518 666 777 999 1554 1998 2331 4662 6993 13986 753619 1507238 2260857 4521714 5275333 6782571 10550666 13565142 15825999 20347713 27883903 31651998 40695426 47477997 55767806 83651709 94955994 142433991 167303418 195187321 250955127 284867982 390374642 501910254 585561963 752865381 1171123926 1505730762 1756685889 3513371778 5270057667 10540115334