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1054041205131 = 33191204390383
BaseRepresentation
bin11110101011010011100…
…00000110100110001011
310201202122221111002101000
433111221300012212023
5114232134022031011
62124115253030043
7136103060262645
oct17255160064613
93652587432330
101054041205131
1137701a8661a2
12150344325323
137851b3561b5
1439031775895
151c640cc0356
hexf569c0698b

1054041205131 has 16 divisors (see below), whose sum is σ = 1569718149120. Its totient is φ = 699015106440.

The previous prime is 1054041205121. The next prime is 1054041205141. The reversal of 1054041205131 is 1315021404501.

1054041205131 is a `hidden beast` number, since 1 + 0 + 5 + 404 + 120 + 5 + 131 = 666.

1054041205131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1054041205121) and next prime (1054041205141).

It is not a de Polignac number, because 1054041205131 - 25 = 1054041205099 is a prime.

It is a super-2 number, since 2×10540412051312 (a number of 25 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 = 1054041205095 and 1054041205104.

It is not an unprimeable number, because it can be changed into a prime (1054041205121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102190035 + ... + 102200348.

It is an arithmetic number, because the mean of its divisors is an integer number (98107384320).

Almost surely, 21054041205131 is an apocalyptic number.

1054041205131 is a deficient number, since it is larger than the sum of its proper divisors (515676943989).

1054041205131 is a wasteful number, since it uses less digits than its factorization.

1054041205131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204390583 (or 204390577 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 1054041205131 its reverse (1315021404501), we get a palindrome (2369062609632).

The spelling of 1054041205131 in words is "one trillion, fifty-four billion, forty-one million, two hundred five thousand, one hundred thirty-one".

Divisors: 1 3 9 27 191 573 1719 5157 204390383 613171149 1839513447 5518540341 39038563153 117115689459 351347068377 1054041205131