Search a number
-
+
320212123031301 = 34727169197712413
BaseRepresentation
bin100100011001110110011000…
…1110110001001011100000101
31112222202222110102022120120120
41020303230301312021130011
5313432323411444000201
63053011230223052153
7124306363626520404
oct11063546166113405
91488688412276516
10320212123031301
11930362205a1596
122bab7308141059
1310989b484b8107
1459104c6c5b63b
1527046bb0dd536
hex1233b31d89705

320212123031301 has 64 divisors (see below), whose sum is σ = 438759793115136. Its totient is φ = 207631034035200.

The previous prime is 320212123031267. The next prime is 320212123031327. The reversal of 320212123031301 is 103130321212023.

It is not a de Polignac number, because 320212123031301 - 213 = 320212123023109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320212123031341) 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 63 ways as a sum of consecutive naturals, for example, 25796507371 + ... + 25796519783.

It is an arithmetic number, because the mean of its divisors is an integer number (6855621767424).

Almost surely, 2320212123031301 is an apocalyptic number.

It is an amenable number.

320212123031301 is a deficient number, since it is larger than the sum of its proper divisors (118547670083835).

320212123031301 is a wasteful number, since it uses less digits than its factorization.

320212123031301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14402.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 320212123031301 its reverse (103130321212023), we get a palindrome (423342444243324).

The spelling of 320212123031301 in words is "three hundred twenty trillion, two hundred twelve billion, one hundred twenty-three million, thirty-one thousand, three hundred one".

Divisors: 1 3 47 141 271 691 813 977 2073 2931 12413 12737 32477 37239 38211 45919 97431 137757 187261 264767 561783 583411 675107 794301 1750233 2025321 3363923 8577383 8801267 10091769 12127501 12444049 25732149 26403801 31730029 36382503 37332147 95190087 158104381 182953997 403137001 474313143 548861991 569992547 1209411003 1709977641 2324470793 3286552771 6973412379 8380103191 8598837859 9859658313 25140309573 25796513577 109250127271 154467980237 327750381813 393864849977 463403940711 1181594549931 2271007964761 6813023894283 106737374343767 320212123031301