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10542211553241 = 328396431463521
BaseRepresentation
bin1001100101101000110011…
…0001100101011111011001
31101022211021211221001021200
42121122030301211133121
52340210422124200431
634231005232224413
72135435554452564
oct231321461453731
941284254831250
1010542211553241
1133a4a21650205
12122319939b109
135b61845a3a24
142863625274db
151343617acee6
hex9968cc657d9

10542211553241 has 24 divisors (see below), whose sum is σ = 15412713135456. Its totient is φ = 6942739841280.

The previous prime is 10542211553227. The next prime is 10542211553257. The reversal of 10542211553241 is 14235511224501.

10542211553241 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 2 + 2 + 115 + 532 + 4 + 1 = 666.

It is not a de Polignac number, because 10542211553241 - 215 = 10542211520473 is a prime.

It is a super-2 number, since 2×105422115532412 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10542211553196 and 10542211553205.

It is not an unprimeable number, because it can be changed into a prime (10542211553221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6471561 + ... + 7935081.

It is an arithmetic number, because the mean of its divisors is an integer number (642196380644).

Almost surely, 210542211553241 is an apocalyptic number.

It is an amenable number.

10542211553241 is a deficient number, since it is larger than the sum of its proper divisors (4870501582215).

10542211553241 is a wasteful number, since it uses less digits than its factorization.

10542211553241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473253 (or 1473250 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 10542211553241 its reverse (14235511224501), we get a palindrome (24777722777742).

The spelling of 10542211553241 in words is "ten trillion, five hundred forty-two billion, two hundred eleven million, five hundred fifty-three thousand, two hundred forty-one".

Divisors: 1 3 9 83 249 747 9643 28929 86787 800369 1463521 2401107 4390563 7203321 13171689 121472243 364416729 1093250187 14112733003 42338199009 127014597027 1171356839249 3514070517747 10542211553241