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31454364635153 is a prime number
BaseRepresentation
bin1110010011011100010100…
…01110110001000000010001
311010101000012202100011102122
413021232022032301000101
513110322014321311103
6150521534032424025
76424334322665645
oct711561216610021
9133330182304378
1031454364635153
11a0277a2906389
1236400970a8015
131472198115c95
147aa583c36c25
15398300a7db38
hex1c9b8a3b1011

31454364635153 has 2 divisors, whose sum is σ = 31454364635154. Its totient is φ = 31454364635152.

The previous prime is 31454364635147. The next prime is 31454364635167. The reversal of 31454364635153 is 35153646345413.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24970328809024 + 6484035826129 = 4997032^2 + 2546377^2 .

It is a cyclic number.

It is not a de Polignac number, because 31454364635153 - 24 = 31454364635137 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 31454364635095 and 31454364635104.

It is not a weakly prime, because it can be changed into another prime (31454364635053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15727182317576 + 15727182317577.

It is an arithmetic number, because the mean of its divisors is an integer number (15727182317577).

Almost surely, 231454364635153 is an apocalyptic number.

It is an amenable number.

31454364635153 is a deficient number, since it is larger than the sum of its proper divisors (1).

31454364635153 is an equidigital number, since it uses as much as digits as its factorization.

31454364635153 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 23328000, while the sum is 53.

The spelling of 31454364635153 in words is "thirty-one trillion, four hundred fifty-four billion, three hundred sixty-four million, six hundred thirty-five thousand, one hundred fifty-three".