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243351532053 = 32728911354869
BaseRepresentation
bin1110001010100011100…
…0011011001000010101
3212021010120211200122200
43202220320123020111
512441340443011203
6303443311515113
723403322615200
oct3425070331025
9767116750580
10243351532053
1194228660943
123b1b5b28a99
1319c428575a6
14bac7840937
1564e42dc9a3
hex38a8e1b215

243351532053 has 72 divisors (see below), whose sum is σ = 417157954200. Its totient is φ = 136276310016.

The previous prime is 243351532013. The next prime is 243351532093. The reversal of 243351532053 is 350235153342.

243351532053 is a `hidden beast` number, since 2 + 43 + 35 + 1 + 532 + 0 + 53 = 666.

It is an interprime number because it is at equal distance from previous prime (243351532013) and next prime (243351532093).

It can be written as a sum of positive squares in 4 ways, for example, as 25754472324 + 217597059729 = 160482^2 + 466473^2 .

It is not a de Polignac number, because 243351532053 - 210 = 243351531029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 243351531999 and 243351532017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243351532013) 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 71 ways as a sum of consecutive naturals, for example, 4407703 + ... + 4462571.

It is an arithmetic number, because the mean of its divisors is an integer number (5793860475).

Almost surely, 2243351532053 is an apocalyptic number.

It is an amenable number.

243351532053 is a deficient number, since it is larger than the sum of its proper divisors (173806422147).

243351532053 is a wasteful number, since it uses less digits than its factorization.

243351532053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55091 (or 55081 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 36.

Adding to 243351532053 its reverse (350235153342), we get a palindrome (593586685395).

The spelling of 243351532053 in words is "two hundred forty-three billion, three hundred fifty-one million, five hundred thirty-two thousand, fifty-three".

Divisors: 1 3 7 9 21 49 63 89 113 147 267 339 441 623 791 801 1017 1869 2373 4361 5537 5607 7119 10057 13083 16611 30171 39249 49833 54869 70399 90513 164607 211197 384083 492793 493821 633591 1152249 1478379 2688581 3456747 4435137 4883341 6200197 8065743 14650023 18600591 24197229 34183387 43401379 43950069 55801773 102550161 130204137 239283709 303809653 307650483 390612411 551817533 717851127 911428959 1655452599 2153553381 2734286877 3862722731 4966357797 11588168193 27039059117 34764504579 81117177351 243351532053