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313661454201 = 3244977619761
BaseRepresentation
bin1001001000001111010…
…11011111011101111001
31002222121121100210210100
410210013223133131321
520114334313013301
6400032153310013
731442552241024
oct4440753373571
91088547323710
10313661454201
11111028794017
1250958705309
1323769265014
14112776901bb
15825bc1c286
hex4907adf779

313661454201 has 12 divisors (see below), whose sum is σ = 454075607700. Its totient is φ = 208641914880.

The previous prime is 313661454187. The next prime is 313661454203. The reversal of 313661454201 is 102454166313.

313661454201 is a `hidden beast` number, since 3 + 1 + 36 + 614 + 5 + 4 + 2 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 72953469801 + 240707984400 = 270099^2 + 490620^2 .

It is not a de Polignac number, because 313661454201 - 26 = 313661454137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313661454203) 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 11 ways as a sum of consecutive naturals, for example, 38805840 + ... + 38813921.

It is an arithmetic number, because the mean of its divisors is an integer number (37839633975).

Almost surely, 2313661454201 is an apocalyptic number.

It is an amenable number.

313661454201 is a deficient number, since it is larger than the sum of its proper divisors (140414153499).

313661454201 is a wasteful number, since it uses less digits than its factorization.

313661454201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77620216 (or 77620213 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 313661454201 in words is "three hundred thirteen billion, six hundred sixty-one million, four hundred fifty-four thousand, two hundred one".

Divisors: 1 3 9 449 1347 4041 77619761 232859283 698577849 34851272689 104553818067 313661454201