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313441103301221 = 7242159325622593
BaseRepresentation
bin100011101000100101011000…
…1100111101100101001100101
31112002210200021102010112101002
41013101022301213230221211
5312040404334421114341
63030344504403243045
7123010241510446100
oct10721126147545145
91462720242115332
10313441103301221
119096569746a145
122b1a2b9b379485
13105b84a521927c
1457588b7949737
1526384c81b029b
hex11d12b19eca65

313441103301221 has 24 divisors (see below), whose sum is σ = 366097570389144. Its totient is φ = 267573653544960.

The previous prime is 313441103301217. The next prime is 313441103301259. The reversal of 313441103301221 is 122103301144313.

It can be written as a sum of positive squares in 4 ways, for example, as 3529231890625 + 309911871410596 = 1878625^2 + 17604314^2 .

It is not a de Polignac number, because 313441103301221 - 22 = 313441103301217 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 (313441103301281) 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, 578300 + ... + 25044293.

It is an arithmetic number, because the mean of its divisors is an integer number (15254065432881).

Almost surely, 2313441103301221 is an apocalyptic number.

It is an amenable number.

313441103301221 is a deficient number, since it is larger than the sum of its proper divisors (52656467087923).

313441103301221 is a wasteful number, since it uses less digits than its factorization.

313441103301221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25623621 (or 25623614 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 313441103301221 its reverse (122103301144313), we get a palindrome (435544404445534).

The spelling of 313441103301221 in words is "three hundred thirteen trillion, four hundred forty-one billion, one hundred three million, three hundred one thousand, two hundred twenty-one".

Divisors: 1 7 49 421 593 2947 4151 20629 29057 249653 1747571 12232997 25622593 179358151 1255507057 10787111653 15194197649 75509781571 106359383543 528568470997 744515684801 6396757210229 44777300471603 313441103301221