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1305135015397 = 37311173132517
BaseRepresentation
bin10010111111100000000…
…110111110010111100101
311121202210002210021002121
4102333200012332113211
5132340404030443042
62435323140505541
7163202314405633
oct22774006762745
94552702707077
101305135015397
11463560767274
12190b3b0ab2b1
13960c5c095a5
1447251554353
1523e39b4b367
hex12fe01be5e5

1305135015397 has 8 divisors (see below), whose sum is σ = 1309806016376. Its totient is φ = 1300470282432.

The previous prime is 1305135015389. The next prime is 1305135015413. The reversal of 1305135015397 is 7935105315031.

It can be written as a sum of positive squares in 4 ways, for example, as 88153172836 + 1216981842561 = 296906^2 + 1103169^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1305135015397 - 23 = 1305135015389 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305135015367) 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 7 ways as a sum of consecutive naturals, for example, 1149618 + ... + 1982899.

It is an arithmetic number, because the mean of its divisors is an integer number (163725752047).

Almost surely, 21305135015397 is an apocalyptic number.

It is an amenable number.

1305135015397 is a deficient number, since it is larger than the sum of its proper divisors (4671000979).

1305135015397 is a wasteful number, since it uses less digits than its factorization.

1305135015397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3134007.

The product of its (nonzero) digits is 212625, while the sum is 43.

The spelling of 1305135015397 in words is "one trillion, three hundred five billion, one hundred thirty-five million, fifteen thousand, three hundred ninety-seven".

Divisors: 1 373 1117 416641 3132517 1168428841 3499021489 1305135015397