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10541323137 = 347891515563
BaseRepresentation
bin10011101000100111…
…11101001110000001
31000012122100200212110
421310103331032001
5133042034320022
64502001045533
7522136524342
oct116423751601
930178320773
1010541323137
11451a336104
1220623268a9
13cbcbb0417
1471ddd40c9
1541a68a00c
hex2744fd381

10541323137 has 32 divisors (see below), whose sum is σ = 14614179840. Its totient is φ = 6754492800.

The previous prime is 10541323109. The next prime is 10541323141. The reversal of 10541323137 is 73132314501.

10541323137 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 10541323137 - 26 = 10541323073 is a prime.

It is a super-2 number, since 2×105413231372 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10541323337) 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 31 ways as a sum of consecutive naturals, for example, 1892118 + ... + 1897680.

It is an arithmetic number, because the mean of its divisors is an integer number (456693120).

Almost surely, 210541323137 is an apocalyptic number.

It is an amenable number.

10541323137 is a deficient number, since it is larger than the sum of its proper divisors (4072856703).

10541323137 is a wasteful number, since it uses less digits than its factorization.

10541323137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5853.

The product of its (nonzero) digits is 7560, while the sum is 30.

Adding to 10541323137 its reverse (73132314501), we get a palindrome (83673637638).

The spelling of 10541323137 in words is "ten billion, five hundred forty-one million, three hundred twenty-three thousand, one hundred thirty-seven".

Divisors: 1 3 47 89 141 151 267 453 4183 5563 7097 12549 13439 16689 21291 40317 261461 495107 631633 784383 840013 1485321 1894899 2520039 23270029 39480611 69810087 74761157 118441833 224283471 3513774379 10541323137