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10541036022 = 2311238383663
BaseRepresentation
bin10011101000100101…
…10111000111110110
31000012121211010000120
421310102313013312
5133042001123042
64501550552410
7522134220306
oct116422670766
930177733016
1010541036022
11451a15a420
122062208706
13cbcb0c82a
1471dd5b606
1541a62edec
hex2744b71f6

10541036022 has 64 divisors (see below), whose sum is σ = 24287993856. Its totient is φ = 3018524960.

The previous prime is 10541036021. The next prime is 10541036027. The reversal of 10541036022 is 22063014501.

It is a super-3 number, since 3×105410360223 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10541035983 and 10541036001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10541036021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84163 + ... + 167825.

It is an arithmetic number, because the mean of its divisors is an integer number (379499904).

Almost surely, 210541036022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10541036022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12143996928).

10541036022 is an abundant number, since it is smaller than the sum of its proper divisors (13746957834).

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

10541036022 is a wasteful number, since it uses less digits than its factorization.

10541036022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83785.

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 10541036022 in words is "ten billion, five hundred forty-one million, thirty-six thousand, twenty-two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 83 138 166 249 253 498 506 759 913 1518 1826 1909 2739 3818 5478 5727 11454 20999 41998 62997 83663 125994 167326 250989 501978 920293 1840586 1924249 2760879 3848498 5521758 5772747 6944029 11545494 13888058 20832087 21166739 41664174 42333478 63500217 76384319 127000434 152768638 159712667 229152957 319425334 458305914 479138001 958276002 1756839337 3513678674 5270518011 10541036022