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243132104105 = 511173229241463
BaseRepresentation
bin1110001001101111001…
…1010111110110101001
3212020120021221121002122
43202123303113312221
512440413304312410
6303405432441025
723365016533442
oct3423363276651
9766507847078
10243132104105
1194125809430
123b154549175
1319c0925a377
14baa66422c9
1564cede6e55
hex389bcd7da9

243132104105 has 64 divisors (see below), whose sum is σ = 323551134720. Its totient is φ = 173930803200.

The previous prime is 243132104101. The next prime is 243132104107. The reversal of 243132104105 is 501401231342.

It is a happy number.

It is not a de Polignac number, because 243132104105 - 22 = 243132104101 is a prime.

It is a super-2 number, since 2×2431321041052 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (243132104101) 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 63 ways as a sum of consecutive naturals, for example, 525123104 + ... + 525123566.

It is an arithmetic number, because the mean of its divisors is an integer number (5055486480).

Almost surely, 2243132104105 is an apocalyptic number.

It is an amenable number.

243132104105 is a deficient number, since it is larger than the sum of its proper divisors (80419030615).

243132104105 is a wasteful number, since it uses less digits than its factorization.

243132104105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122.

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 243132104105 its reverse (501401231342), we get a palindrome (744533335447).

The spelling of 243132104105 in words is "two hundred forty-three billion, one hundred thirty-two million, one hundred four thousand, one hundred five".

Divisors: 1 5 11 55 173 229 241 463 865 1145 1205 1903 2315 2519 2651 5093 9515 12595 13255 25465 39617 41693 55189 80099 106027 111583 198085 208465 275945 400495 435787 458623 530135 557915 607079 881089 1166297 1227413 2178935 2293115 3035395 4405445 5831485 6137065 9547697 18342671 19303859 25552507 47738485 91713355 96519295 105024667 127762535 201769381 212342449 281077577 525123335 1008846905 1061712245 1405387885 4420583711 22102918555 48626420821 243132104105