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133712780753 is a prime number
BaseRepresentation
bin111110010000111100…
…1110001110111010001
3110210010200012001100002
41330201321301313101
54142320432441003
6141232104535345
712442345612016
oct1744171616721
9423120161302
10133712780753
1151786419282
1221ab8181555
13c7bc151916
14668661570d
153728ca1a88
hex1f21e71dd1

133712780753 has 2 divisors, whose sum is σ = 133712780754. Its totient is φ = 133712780752.

The previous prime is 133712780699. The next prime is 133712780767. The reversal of 133712780753 is 357087217331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 118275463744 + 15437317009 = 343912^2 + 124247^2 .

It is a cyclic number.

It is not a de Polignac number, because 133712780753 - 214 = 133712764369 is a prime.

It is a super-3 number, since 3×1337127807533 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133712780698 and 133712780707.

It is not a weakly prime, because it can be changed into another prime (133712780783) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66856390376 + 66856390377.

It is an arithmetic number, because the mean of its divisors is an integer number (66856390377).

Almost surely, 2133712780753 is an apocalyptic number.

It is an amenable number.

133712780753 is a deficient number, since it is larger than the sum of its proper divisors (1).

133712780753 is an equidigital number, since it uses as much as digits as its factorization.

133712780753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 740880, while the sum is 47.

The spelling of 133712780753 in words is "one hundred thirty-three billion, seven hundred twelve million, seven hundred eighty thousand, seven hundred fifty-three".