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131424330320200 = 23522399327388057
BaseRepresentation
bin11101111000011110011100…
…100001100000100101001000
3122020100001011112210102002001
4131320132130201200211020
5114211224012030221300
61143303300455520344
736453044264522611
oct3570363441404510
9566301145712061
10131424330320200
113896a822271165
12128a6aba3890b4
135844351a40b18
142464d85c2ac08
15102d9ad6e716a
hex77879c860948

131424330320200 has 48 divisors (see below), whose sum is σ = 305574314598180. Its totient is φ = 52567539164160.

The previous prime is 131424330320113. The next prime is 131424330320203. The reversal of 131424330320200 is 2023033424131.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 5067082036324 + 126357248283876 = 2251018^2 + 11240874^2 .

It is a super-2 number, since 2×1314243303202002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131424330320203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8895429 + ... + 18492628.

Almost surely, 2131424330320200 is an apocalyptic number.

131424330320200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131424330320200 is an abundant number, since it is smaller than the sum of its proper divisors (174149984277980).

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

131424330320200 is a wasteful number, since it uses less digits than its factorization.

131424330320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27412066 (or 27412057 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 131424330320200 its reverse (2023033424131), we get a palindrome (133447363744331).

The spelling of 131424330320200 in words is "one hundred thirty-one trillion, four hundred twenty-four billion, three hundred thirty million, three hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 23993 47986 95972 119965 191944 239930 479860 599825 959720 1199650 2399300 4798600 27388057 54776114 109552228 136940285 219104456 273880570 547761140 684701425 1095522280 1369402850 2738805700 5477611400 657121651601 1314243303202 2628486606404 3285608258005 5256973212808 6571216516010 13142433032020 16428041290025 26284866064040 32856082580050 65712165160100 131424330320200