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10540445301 = 3319113349521
BaseRepresentation
bin10011101000100001…
…00110111001110101
31000012120201002201000
421310100212321311
5133041323222201
64501530153513
7522126210141
oct116420467165
930176632630
1010540445301
114519896621
122061b82899
13cbc9639a9
1471dc46221
1541a564d86
hex274426e75

10540445301 has 64 divisors (see below), whose sum is σ = 16662240000. Its totient is φ = 6566676480.

The previous prime is 10540445291. The next prime is 10540445303. The reversal of 10540445301 is 10354404501.

It is a happy number.

10540445301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10540445301 - 25 = 10540445269 is a prime.

It is a super-2 number, since 2×105404453012 (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (10540445303) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 20230921 + ... + 20231441.

It is an arithmetic number, because the mean of its divisors is an integer number (260347500).

Almost surely, 210540445301 is an apocalyptic number.

It is an amenable number.

10540445301 is a deficient number, since it is larger than the sum of its proper divisors (6121794699).

10540445301 is a wasteful number, since it uses less digits than its factorization.

10540445301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 10540445301 its reverse (10354404501), we get a palindrome (20894849802).

The spelling of 10540445301 in words is "ten billion, five hundred forty million, four hundred forty-five thousand, three hundred one".

Divisors: 1 3 9 19 27 57 113 171 339 349 513 521 1017 1047 1563 2147 3051 3141 4689 6441 6631 9423 9899 14067 19323 19893 29697 39437 57969 58873 59679 89091 118311 176619 179037 181829 267273 354933 529857 545487 749303 1064799 1118587 1589571 1636461 2247909 3355761 3454751 4909383 6743727 10067283 10364253 20231181 20546677 30201849 31092759 61640031 93278277 184920093 390386863 554760279 1171160589 3513481767 10540445301