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131303202221200 = 2452577568904689
BaseRepresentation
bin11101110110101101101000…
…101110011110110010010000
3122012220110111220220102200011
4131312231220232132302100
5114202232424232034300
61143131505224204304
736441225516624052
oct3566555056366220
9565813456812604
10131303202221200
113892341464a619
1212887534909694
135835ab9c18169
14245d174b4d8d2
15102a76e6a9eba
hex776b68b9ec90

131303202221200 has 60 divisors (see below), whose sum is σ = 316002661298020. Its totient is φ = 52430256046080.

The previous prime is 131303202221159. The next prime is 131303202221287. The reversal of 131303202221200 is 2122202303131.

It can be written as a sum of positive squares in 6 ways, for example, as 430608939264 + 130872593281936 = 656208^2 + 11439956^2 .

It is a super-2 number, since 2×1313032022212002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 284221545 + ... + 284683144.

Almost surely, 2131303202221200 is an apocalyptic number.

131303202221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131303202221200 is an abundant number, since it is smaller than the sum of its proper divisors (184699459076820).

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

131303202221200 is a wasteful number, since it uses less digits than its factorization.

131303202221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568905284 (or 568905273 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 131303202221200 its reverse (2122202303131), we get a palindrome (133425404524331).

The spelling of 131303202221200 in words is "one hundred thirty-one trillion, three hundred three billion, two hundred two million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 577 1154 2308 2885 4616 5770 9232 11540 14425 23080 28850 46160 57700 115400 230800 568904689 1137809378 2275618756 2844523445 4551237512 5689046890 9102475024 11378093780 14222617225 22756187560 28445234450 45512375120 56890468900 113780937800 227561875600 328258005553 656516011106 1313032022212 1641290027765 2626064044424 3282580055530 5252128088848 6565160111060 8206450138825 13130320222120 16412900277650 26260640444240 32825800555300 65651601110600 131303202221200