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1420330601313 = 321337328096697
BaseRepresentation
bin10100101010110010010…
…011010000101101100001
312000210010021121100110200
4110222302103100231201
5141232314113220223
63004254010015413
7204421054625121
oct24526223205541
95023107540420
101420330601313
114a83a4661a38
121ab329a17569
13a3c23935190
144ca5c78cc81
1526e2ce31a43
hex14ab24d0b61

1420330601313 has 24 divisors (see below), whose sum is σ = 2269116763368. Its totient is φ = 850426636032.

The previous prime is 1420330601299. The next prime is 1420330601369. The reversal of 1420330601313 is 3131060330241.

1420330601313 is a `hidden beast` number, since 1 + 4 + 20 + 3 + 3 + 0 + 601 + 31 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 56277123984 + 1364053477329 = 237228^2 + 1167927^2 .

It is not a de Polignac number, because 1420330601313 - 24 = 1420330601297 is a prime.

It is a super-2 number, since 2×14203306013132 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1420330601813) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164044020 + ... + 164052677.

It is an arithmetic number, because the mean of its divisors is an integer number (94546531807).

Almost surely, 21420330601313 is an apocalyptic number.

1420330601313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1420330601313 is a deficient number, since it is larger than the sum of its proper divisors (848786162055).

1420330601313 is a wasteful number, since it uses less digits than its factorization.

1420330601313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328096753 (or 328096750 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 1420330601313 its reverse (3131060330241), we get a palindrome (4551390931554).

The spelling of 1420330601313 in words is "one trillion, four hundred twenty billion, three hundred thirty million, six hundred one thousand, three hundred thirteen".

Divisors: 1 3 9 13 37 39 111 117 333 481 1443 4329 328096697 984290091 2952870273 4265257061 12139577789 12795771183 36418733367 38387313549 109256200101 157814511257 473443533771 1420330601313