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1230397848289 = 1727129192
BaseRepresentation
bin10001111001111001011…
…011010011101011100001
311100121212112121210121101
4101321321123103223201
5130124323322121124
62341123103554401
7154615256102311
oct21717133235341
94317775553541
101230397848289
11434899566465
1217a5618bba01
138c045219b9c
14437a1737441
1522013700644
hex11e796d3ae1

1230397848289 has 27 divisors (see below), whose sum is σ = 1327143916371. Its totient is φ = 1140469001280.

The previous prime is 1230397848287. The next prime is 1230397848293. The reversal of 1230397848289 is 9828487930321.

It is a happy number.

The square root of 1230397848289 is 1109233.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 957922200225 + 272475648064 = 978735^2 + 521992^2 .

It is not a de Polignac number, because 1230397848289 - 21 = 1230397848287 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1230397848289.

It is not an unprimeable number, because it can be changed into a prime (1230397848287) 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 26 ways as a sum of consecutive naturals, for example, 1338843772 + ... + 1338844690.

Almost surely, 21230397848289 is an apocalyptic number.

1230397848289 is the 1109233-rd square number.

1230397848289 is the 554617-th centered octagonal number.

It is an amenable number.

1230397848289 is a deficient number, since it is larger than the sum of its proper divisors (96746068082).

1230397848289 is an frugal number, since it uses more digits than its factorization.

1230397848289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 64.

Multiplying 1230397848289 by its sum of digits (64), we get a square (78745462290496 = 88738642).

The spelling of 1230397848289 in words is "one trillion, two hundred thirty billion, three hundred ninety-seven million, eight hundred forty-eight thousand, two hundred eighty-nine".

Divisors: 1 17 71 289 919 1207 5041 15623 20519 65249 85697 265591 844561 1109233 1456849 4632679 14357537 18856961 59963831 78755543 244078129 1019385127 1338844231 4257432001 17329547159 72376344017 1230397848289