Search a number
-
+
131012000122014 = 232111813655672753
BaseRepresentation
bin11101110010011110011011…
…101110101000010010011110
3122011212121212112210001222100
4131302132123232220102132
5114133000034012401024
61142350025412425530
736411206331623124
oct3562363356502236
9564777775701870
10131012000122014
1138820971658430
121283b0059182a6
1358144bca28c2b
14244d02c255914
151022dc95a67c9
hex77279bba849e

131012000122014 has 48 divisors (see below), whose sum is σ = 311375582494704. Its totient is φ = 39481265721600.

The previous prime is 131012000121967. The next prime is 131012000122019. The reversal of 131012000122014 is 410221000210131.

131012000122014 is a `hidden beast` number, since 1 + 310 + 120 + 0 + 0 + 1 + 220 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131012000122019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1827800539 + ... + 1827872214.

It is an arithmetic number, because the mean of its divisors is an integer number (6486991301973).

Almost surely, 2131012000122014 is an apocalyptic number.

131012000122014 is an abundant number, since it is smaller than the sum of its proper divisors (180363582372690).

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

131012000122014 is a wasteful number, since it uses less digits than its factorization.

131012000122014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3655672953 (or 3655672950 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 131012000122014 its reverse (410221000210131), we get a palindrome (541233000332145).

The spelling of 131012000122014 in words is "one hundred thirty-one trillion, twelve billion, one hundred twenty-two thousand, fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 181 198 362 543 1086 1629 1991 3258 3982 5973 11946 17919 35838 3655672753 7311345506 10967018259 21934036518 32901054777 40212400283 65802109554 80424800566 120637200849 241274401698 361911602547 661676768293 723823205094 1323353536586 1985030304879 3970060609758 5955090914637 7278444451223 11910181829274 14556888902446 21835333353669 43670666707338 65506000061007 131012000122014