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316801248201 = 34625392
BaseRepresentation
bin1001001110000101101…
…00110110101111001001
31010021201102102212110000
410213002310312233021
520142302104420301
6401311514113213
731613426115264
oct4470264665711
91107642385400
10316801248201
1111239a055799
125149411b809
1323b498b3ba9
1411494685cdb
1583926c6786
hex49c2d36bc9

316801248201 has 15 divisors (see below), whose sum is σ = 473253876381. Its totient is φ = 211197455028.

The previous prime is 316801248191. The next prime is 316801248251. The reversal of 316801248201 is 102842108613.

The square root of 316801248201 is 562851.

It is a perfect power (a square), and thus also a powerful number.

316801248201 is a `hidden beast` number, since 3 + 168 + 0 + 12 + 482 + 0 + 1 = 666.

316801248201 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 316801248201 - 27 = 316801248073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (316801248251) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5034390 + ... + 5096928.

Almost surely, 2316801248201 is an apocalyptic number.

316801248201 is the 562851-st square number.

316801248201 is the 281426-th centered octagonal number.

It is an amenable number.

316801248201 is a deficient number, since it is larger than the sum of its proper divisors (156452628180).

316801248201 is an frugal number, since it uses more digits than its factorization.

316801248201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125090 (or 62542 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Multiplying 316801248201 by its sum of digits (36), we get a square (11404844935236 = 33771062).

The spelling of 316801248201 in words is "three hundred sixteen billion, eight hundred one million, two hundred forty-eight thousand, two hundred one".

Divisors: 1 3 9 27 81 62539 187617 562851 1688553 5065659 3911126521 11733379563 35200138689 105600416067 316801248201