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131301310222000 = 2453152714299041
BaseRepresentation
bin11101110110101011110111…
…111101000100111010110000
3122012220021122001202220200201
4131312223313331010322300
5114202220040404101000
61143130553400124544
736441130604116312
oct3566536775047260
9565807561686621
10131301310222000
1138922633669616
12128870a7166754
135835877c561c9
14245d0357697b2
15102a6ad52c96a
hex776af7f44eb0

131301310222000 has 80 divisors (see below), whose sum is σ = 317507432134464. Its totient is φ = 52517072640000.

The previous prime is 131301310221997. The next prime is 131301310222001. The reversal of 131301310222000 is 222013103131.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (131301310222001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28392480 + ... + 32691520.

Almost surely, 2131301310222000 is an apocalyptic number.

131301310222000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131301310222000 is an abundant number, since it is smaller than the sum of its proper divisors (186206121912464).

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

131301310222000 is a wasteful number, since it uses less digits than its factorization.

131301310222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4314335 (or 4314319 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 131301310222000 its reverse (222013103131), we get a palindrome (131523323325131).

The spelling of 131301310222000 in words is "one hundred thirty-one trillion, three hundred one billion, three hundred ten million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 15271 30542 61084 76355 122168 152710 244336 305420 381775 610840 763550 1221680 1527100 1908875 3054200 3817750 4299041 6108400 7635500 8598082 15271000 17196164 21495205 30542000 34392328 42990410 68784656 85980820 107476025 171961640 214952050 343923280 429904100 537380125 859808200 1074760250 1719616400 2149520500 4299041000 8598082000 65650655111 131301310222 262602620444 328253275555 525205240888 656506551110 1050410481776 1313013102220 1641266377775 2626026204440 3282532755550 5252052408880 6565065511100 8206331888875 13130131022200 16412663777750 26260262044400 32825327555500 65650655111000 131301310222000