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2908971454201 is a prime number
BaseRepresentation
bin101010010101001100001…
…101011100111011111001
3101022002120020000000201221
4222111030031130323321
5340130033143013301
610104210225512041
7420111011245531
oct52251415347371
911262506000657
102908971454201
11a21762604a3a
123ab9407a2621
131814128b7657
14a0b1b57a4c1
1550a07e47da1
hex2a54c35cef9

2908971454201 has 2 divisors, whose sum is σ = 2908971454202. Its totient is φ = 2908971454200.

The previous prime is 2908971454189. The next prime is 2908971454211. The reversal of 2908971454201 is 1024541798092.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2317458182400 + 591513271801 = 1522320^2 + 769099^2 .

It is a cyclic number.

It is not a de Polignac number, because 2908971454201 - 213 = 2908971446009 is a prime.

It is a super-2 number, since 2×29089714542012 (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2908971454211) 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, 1454485727100 + 1454485727101.

It is an arithmetic number, because the mean of its divisors is an integer number (1454485727101).

Almost surely, 22908971454201 is an apocalyptic number.

It is an amenable number.

2908971454201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2908971454201 is an equidigital number, since it uses as much as digits as its factorization.

2908971454201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1451520, while the sum is 52.

The spelling of 2908971454201 in words is "two trillion, nine hundred eight billion, nine hundred seventy-one million, four hundred fifty-four thousand, two hundred one".