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131020142001149 is a prime number
BaseRepresentation
bin11101110010100110000001…
…000001011011101111111101
3122011220101212222011101110102
4131302212001001123233331
5114133113222323014044
61142353453341250445
736411615154511102
oct3562460101335775
9564811788141412
10131020142001149
113882436a520765
12128406b8563a25
1358151b97867ab
14244d5a16d2aa9
15102320427a24e
hex77298105bbfd

131020142001149 has 2 divisors, whose sum is σ = 131020142001150. Its totient is φ = 131020142001148.

The previous prime is 131020142001121. The next prime is 131020142001169. The reversal of 131020142001149 is 941100241020131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92167584156025 + 38852557845124 = 9600395^2 + 6233182^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131020142001149 is a prime.

It is a super-3 number, since 3×1310201420011493 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131020142001169) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65510071000574 + 65510071000575.

It is an arithmetic number, because the mean of its divisors is an integer number (65510071000575).

Almost surely, 2131020142001149 is an apocalyptic number.

It is an amenable number.

131020142001149 is a deficient number, since it is larger than the sum of its proper divisors (1).

131020142001149 is an equidigital number, since it uses as much as digits as its factorization.

131020142001149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 29.

The spelling of 131020142001149 in words is "one hundred thirty-one trillion, twenty billion, one hundred forty-two million, one thousand, one hundred forty-nine".