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243131114133 = 346744800279
BaseRepresentation
bin1110001001101110111…
…1100110001010010101
3212020120020002022010000
43202123233212022111
512440413031123013
6303405355321513
723365005241305
oct3423357461225
9766506068100
10243131114133
11941251a2676
123b154150299
1319c08ca189b
14baa6465605
1564cec9d973
hex389bbe6295

243131114133 has 20 divisors (see below), whose sum is σ = 368616703840. Its totient is φ = 159668190792.

The previous prime is 243131114129. The next prime is 243131114173. The reversal of 243131114133 is 331411131342.

243131114133 is a `hidden beast` number, since 243 + 1 + 3 + 1 + 1 + 1 + 413 + 3 = 666.

It is not a de Polignac number, because 243131114133 - 22 = 243131114129 is a prime.

It is a super-2 number, since 2×2431311141332 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 243131114097 and 243131114106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243131114173) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22394713 + ... + 22405566.

It is an arithmetic number, because the mean of its divisors is an integer number (18430835192).

Almost surely, 2243131114133 is an apocalyptic number.

It is an amenable number.

243131114133 is a deficient number, since it is larger than the sum of its proper divisors (125485589707).

243131114133 is an equidigital number, since it uses as much as digits as its factorization.

243131114133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44800358 (or 44800349 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 243131114133 its reverse (331411131342), we get a palindrome (574542245475).

The spelling of 243131114133 in words is "two hundred forty-three billion, one hundred thirty-one million, one hundred fourteen thousand, one hundred thirty-three".

Divisors: 1 3 9 27 67 81 201 603 1809 5427 44800279 134400837 403202511 1209607533 3001618693 3628822599 9004856079 27014568237 81043704711 243131114133