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1301381082468 = 223273495198281
BaseRepresentation
bin10010111100000000010…
…110110110110101100100
311121102002111002201012200
4102330000112312311210
5132310212024114333
62433502441014500
7163010302454025
oct22740026666544
94542074081180
101301381082468
11461a0476a965
12190271a84430
13959482813bc
1446db6b74c4c
1523cba2cec13
hex12f005b6d64

1301381082468 has 36 divisors (see below), whose sum is σ = 3334665230988. Its totient is φ = 427851313920.

The previous prime is 1301381082433. The next prime is 1301381082481. The reversal of 1301381082468 is 8642801831031.

1301381082468 is a `hidden beast` number, since 1 + 30 + 1 + 3 + 81 + 0 + 82 + 468 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 339926313024 + 961454769444 = 583032^2 + 980538^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 247596513 + ... + 247601768.

Almost surely, 21301381082468 is an apocalyptic number.

1301381082468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1301381082468 is an abundant number, since it is smaller than the sum of its proper divisors (2033284148520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1301381082468 is a wasteful number, since it uses less digits than its factorization.

1301381082468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495198364 (or 495198359 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 1301381082468 in words is "one trillion, three hundred one billion, three hundred eighty-one million, eighty-two thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2628 495198281 990396562 1485594843 1980793124 2971189686 4456784529 5942379372 8913569058 17827138116 36149474513 72298949026 108448423539 144597898052 216896847078 325345270617 433793694156 650690541234 1301381082468