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153840358124261 is a prime number
BaseRepresentation
bin100010111110101010111111…
…111001011110101011100101
3202011200222212001210221111022
4202332222333321132223211
5130131010023134434021
61303105141310420525
744255412326205404
oct4276527771365345
9664628761727438
10153840358124261
1145022369607836
1215307360801745
1367ac111666a83
1429dbcad62963b
1512bbb1a0dd1ab
hex8beabfe5eae5

153840358124261 has 2 divisors, whose sum is σ = 153840358124262. Its totient is φ = 153840358124260.

The previous prime is 153840358124221. The next prime is 153840358124293. The reversal of 153840358124261 is 162421853048351.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 115047204712036 + 38793153412225 = 10726006^2 + 6228415^2 .

It is a cyclic number.

It is not a de Polignac number, because 153840358124261 - 218 = 153840357862117 is a prime.

It is a super-2 number, since 2×1538403581242612 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (153840358124221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 76920179062130 + 76920179062131.

It is an arithmetic number, because the mean of its divisors is an integer number (76920179062131).

Almost surely, 2153840358124261 is an apocalyptic number.

It is an amenable number.

153840358124261 is a deficient number, since it is larger than the sum of its proper divisors (1).

153840358124261 is an equidigital number, since it uses as much as digits as its factorization.

153840358124261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5529600, while the sum is 53.

The spelling of 153840358124261 in words is "one hundred fifty-three trillion, eight hundred forty billion, three hundred fifty-eight million, one hundred twenty-four thousand, two hundred sixty-one".