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131403141404200 = 23524392957164371
BaseRepresentation
bin11101111000001010101101…
…100100001101011000101000
3122020021000110212002221200101
4131320022231210031120220
5114210402113144413300
61143245434135515144
736451364224643401
oct3570125544153050
9566230425087611
10131403141404200
1138961839716a36
12128a2986228ab4
135842355c52ac3
142463d35a9c9a8
15102d16d3ceb6a
hex7782ad90d628

131403141404200 has 96 divisors (see below), whose sum is σ = 312622506012960. Its totient is φ = 51338037139200.

The previous prime is 131403141404191. The next prime is 131403141404201. The reversal of 131403141404200 is 2404141304131.

It is not an unprimeable number, because it can be changed into a prime (131403141404201) 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, 799348015 + ... + 799512385.

It is an arithmetic number, because the mean of its divisors is an integer number (3256484437635).

Almost surely, 2131403141404200 is an apocalyptic number.

131403141404200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131403141404200 is an abundant number, since it is smaller than the sum of its proper divisors (181219364608760).

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

131403141404200 is a wasteful number, since it uses less digits than its factorization.

131403141404200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257387 (or 257378 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 131403141404200 its reverse (2404141304131), we get a palindrome (133807282708331).

The spelling of 131403141404200 in words is "one hundred thirty-one trillion, four hundred three billion, one hundred forty-one million, four hundred four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 344 430 860 1075 1720 2150 4300 8600 92957 164371 185914 328742 371828 464785 657484 743656 821855 929570 1314968 1643710 1859140 2323925 3287420 3718280 3997151 4109275 4647850 6574840 7067953 7994302 8218550 9295700 14135906 15988604 16437100 18591400 19985755 28271812 31977208 32874200 35339765 39971510 56543624 70679530 79943020 99928775 141359060 159886040 176698825 199857550 282718120 353397650 399715100 706795300 799430200 1413590600 15279435047 30558870094 61117740188 76397175235 122235480376 152794350470 305588700940 381985876175 611177401880 657015707021 763971752350 1314031414042 1527943504700 2628062828084 3055887009400 3285078535105 5256125656168 6570157070210 13140314140420 16425392675525 26280628280840 32850785351050 65701570702100 131403141404200