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1230222332313 = 321371831784273
BaseRepresentation
bin10001111001101110111…
…101110001000110011001
311100121102022100122221200
4101321232331301012121
5130123443404113223
62341053434024413
7154611025201032
oct21715675610631
94317368318850
101230222332313
11434809486737
1217a512b78109
138c017a55c90
14437862c9a89
15220030d0a43
hex11e6ef71199

1230222332313 has 48 divisors (see below), whose sum is σ = 1964014625664. Its totient is φ = 737403932160.

The previous prime is 1230222332291. The next prime is 1230222332419. The reversal of 1230222332313 is 3132332220321.

1230222332313 is a `hidden beast` number, since 1 + 2 + 302 + 2 + 23 + 323 + 13 = 666.

It is not a de Polignac number, because 1230222332313 - 25 = 1230222332281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1230222232313) 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, 202656 + ... + 1581617.

It is an arithmetic number, because the mean of its divisors is an integer number (40916971368).

Almost surely, 21230222332313 is an apocalyptic number.

1230222332313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1230222332313 is a deficient number, since it is larger than the sum of its proper divisors (733792293351).

1230222332313 is a wasteful number, since it uses less digits than its factorization.

1230222332313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1784446 (or 1784443 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 1230222332313 its reverse (3132332220321), we get a palindrome (4362554552634).

The spelling of 1230222332313 in words is "one trillion, two hundred thirty billion, two hundred twenty-two million, three hundred thirty-two thousand, three hundred thirteen".

Divisors: 1 3 9 13 39 71 83 117 213 249 639 747 923 1079 2769 3237 5893 8307 9711 17679 53037 76609 229827 689481 1784273 5352819 16058457 23195549 69586647 126683383 148094659 208759941 380050149 444283977 1140150447 1332851931 1646883979 1925230567 4940651937 5775691701 10514720789 14821955811 17327075103 31544162367 94632487101 136691370257 410074110771 1230222332313