Search a number
-
+
131231344140102 = 23417927164138873
BaseRepresentation
bin11101110101101010101101…
…101001101001111101000110
3122012122121001000020200201010
4131311222231221221331012
5114200043243044440402
61143034503000143050
736433103021204253
oct3565525551517506
9565577030220633
10131231344140102
11388a599a633738
121287561b767a86
13582c0a785604b
1424598b946242a
151028965dbba6c
hex775aada69f46

131231344140102 has 128 divisors (see below), whose sum is σ = 273705601720320. Its totient is φ = 41914589184000.

The previous prime is 131231344140059. The next prime is 131231344140103. The reversal of 131231344140102 is 201041443132131.

It is a self number, because there is not a number n which added to its sum of digits gives 131231344140102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131231344140103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3375880138 + ... + 3375919010.

It is an arithmetic number, because the mean of its divisors is an integer number (2138325013440).

Almost surely, 2131231344140102 is an apocalyptic number.

131231344140102 is an abundant number, since it is smaller than the sum of its proper divisors (142474257580218).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131231344140102 is a wasteful number, since it uses less digits than its factorization.

131231344140102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39910.

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 131231344140102 its reverse (201041443132131), we get a palindrome (332272787272233).

The spelling of 131231344140102 in words is "one hundred thirty-one trillion, two hundred thirty-one billion, three hundred forty-four million, one hundred forty thousand, one hundred two".

Divisors: 1 2 3 6 41 79 82 123 158 237 246 271 474 542 641 813 1282 1626 1923 3239 3846 6478 9717 11111 19434 21409 22222 26281 33333 38873 42818 50639 52562 64227 66666 77746 78843 101278 116619 128454 151917 157686 173711 233238 303834 347422 521133 877769 1042266 1593793 1755538 2076199 2633307 3070967 3187586 4152398 4781379 5266614 6141934 6228597 7122151 9212901 9562758 10534583 12457194 13723169 14244302 18425802 21069166 21366453 24917593 27446338 31603749 41169507 42732906 49835186 63207498 74752779 82339014 125909647 149505558 251819294 377728941 431917903 562649929 755457882 832232057 863835806 1021621313 1125299858 1295753709 1664464114 1687949787 1968489847 2043242626 2496696171 2591507418 3064863939 3375899574 3936979694 4993392342 5905469541 6129727878 6752667703 11810939082 13505335406 20258003109 34121514337 40516006218 68243028674 80708083727 102364543011 161416167454 204729086022 242124251181 276859375823 484248502362 533460748537 553718751646 830578127469 1066921497074 1600382245611 1661156254938 3200764491222 21871890690017 43743781380034 65615672070051 131231344140102