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12131401743541 is a prime number
BaseRepresentation
bin1011000010001000111111…
…1001000011110010110101
31120221202021020122022001201
42300202033321003302311
53042230102321243131
641445031121252501
72361315305263513
oct260421771036265
946852236568051
1012131401743541
113957998023673
12143b191a94131
1369cca8b03662
142dd23d2d14b3
15160873d70761
hexb088fe43cb5

12131401743541 has 2 divisors, whose sum is σ = 12131401743542. Its totient is φ = 12131401743540.

The previous prime is 12131401743493. The next prime is 12131401743589. The reversal of 12131401743541 is 14534710413121.

12131401743541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (12131401743493) and next prime (12131401743589).

It can be written as a sum of positive squares in only one way, i.e., 7202535532516 + 4928866211025 = 2683754^2 + 2220105^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12131401743541 is a prime.

It is a super-2 number, since 2×121314017435412 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12131401743541.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12131401741541) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6065700871770 + 6065700871771.

It is an arithmetic number, because the mean of its divisors is an integer number (6065700871771).

Almost surely, 212131401743541 is an apocalyptic number.

It is an amenable number.

12131401743541 is a deficient number, since it is larger than the sum of its proper divisors (1).

12131401743541 is an equidigital number, since it uses as much as digits as its factorization.

12131401743541 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 12131401743541 in words is "twelve trillion, one hundred thirty-one billion, four hundred one million, seven hundred forty-three thousand, five hundred forty-one".