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315453212023041 = 3217101109187281833
BaseRepresentation
bin100011110111001110010110…
…0101001010101100100000001
31112100221000212201200011222200
41013232130230221111210001
5312321341134234214131
63034525112140223413
7123305512444420131
oct10756345451254401
91470830781604880
10315453212023041
1191570a5737a944
122b468b4253ab69
13107031582c07a1
1457c8034638ac1
1526709de2372e6
hex11ee72ca55901

315453212023041 has 48 divisors (see below), whose sum is σ = 491704709530320. Its totient is φ = 194173803417600.

The previous prime is 315453212022983. The next prime is 315453212023069. The reversal of 315453212023041 is 140320212354513.

315453212023041 is a `hidden beast` number, since 3 + 1 + 5 + 4 + 5 + 321 + 20 + 2 + 304 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 164416608830016 + 151036603193025 = 12822504^2 + 12289695^2 .

It is not a de Polignac number, because 315453212023041 - 213 = 315453212014849 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 315453212022987 and 315453212023005.

It is not an unprimeable number, because it can be changed into a prime (315453212023441) 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 in 47 ways as a sum of consecutive naturals, for example, 91956540 + ... + 95325293.

It is an arithmetic number, because the mean of its divisors is an integer number (10243848115215).

Almost surely, 2315453212023041 is an apocalyptic number.

It is an amenable number.

315453212023041 is a deficient number, since it is larger than the sum of its proper divisors (176251497507279).

315453212023041 is a wasteful number, since it uses less digits than its factorization.

315453212023041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187282066 (or 187282063 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 315453212023041 its reverse (140320212354513), we get a palindrome (455773424377554).

The spelling of 315453212023041 in words is "three hundred fifteen trillion, four hundred fifty-three billion, two hundred twelve million, twenty-three thousand, forty-one".

Divisors: 1 3 9 17 51 101 109 153 303 327 909 981 1717 1853 5151 5559 11009 15453 16677 33027 99081 187153 561459 1684377 187281833 561845499 1685536497 3183791161 9551373483 18915465133 20413719797 28654120449 56746395399 61241159391 170239186197 183723478173 321562907261 347033236549 964688721783 1041099709647 2061785699497 2894066165349 3123299128941 6185357098491 18556071295473 35050356891449 105151070674347 315453212023041