Search a number
-
+
153311302035553 is a prime number
BaseRepresentation
bin100010110110111110010001…
…101100101010100001100001
3202002211102021020102222202011
4202312332101230222201201
5130043323021310114203
61302022123450352521
744202242661514114
oct4266762154524141
9662742236388664
10153311302035553
1144938a5a1aa892
1215240910a2b741
1367712698834cc
1429c04414a857b
1512acea368376d
hex8b6f91b2a861

153311302035553 has 2 divisors, whose sum is σ = 153311302035554. Its totient is φ = 153311302035552.

The previous prime is 153311302035517. The next prime is 153311302035607. The reversal of 153311302035553 is 355530203113351.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 114088738400289 + 39222563635264 = 10681233^2 + 6262792^2 .

It is a cyclic number.

It is not a de Polignac number, because 153311302035553 - 225 = 153311268481121 is a prime.

It is not a weakly prime, because it can be changed into another prime (153311302035053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 76655651017776 + 76655651017777.

It is an arithmetic number, because the mean of its divisors is an integer number (76655651017777).

Almost surely, 2153311302035553 is an apocalyptic number.

It is an amenable number.

153311302035553 is a deficient number, since it is larger than the sum of its proper divisors (1).

153311302035553 is an equidigital number, since it uses as much as digits as its factorization.

153311302035553 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 303750, while the sum is 40.

The spelling of 153311302035553 in words is "one hundred fifty-three trillion, three hundred eleven billion, three hundred two million, thirty-five thousand, five hundred fifty-three".