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313041244210401 = 378311871119713513
BaseRepresentation
bin100011100101101011001100…
…0001010010100010011100001
31112001101110011112201002102210
41013023112120022110103201
5312012331432004213101
63025441055015232333
7122636324566323030
oct10713263012242341
91461343145632383
10313041244210401
119082105642aa13
122b1395a73786a9
131058987cb46055
1457433c4386717
15262cdc3d4c7d6
hex11cb5982944e1

313041244210401 has 64 divisors (see below), whose sum is σ = 483248019437568. Its totient is φ = 176547801512448.

The previous prime is 313041244210393. The next prime is 313041244210421. The reversal of 313041244210401 is 104012442140313.

It is a happy number.

It is not a de Polignac number, because 313041244210401 - 23 = 313041244210393 is a prime.

It is a super-3 number, since 3×3130412442104013 (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (313041244210421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23165925621 + ... + 23165939133.

It is an arithmetic number, because the mean of its divisors is an integer number (7550750303712).

Almost surely, 2313041244210401 is an apocalyptic number.

It is an amenable number.

313041244210401 is a deficient number, since it is larger than the sum of its proper divisors (170206775227167).

313041244210401 is a wasteful number, since it uses less digits than its factorization.

313041244210401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25990.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 313041244210401 its reverse (104012442140313), we get a palindrome (417053686350714).

The spelling of 313041244210401 in words is "three hundred thirteen trillion, forty-one billion, two hundred forty-four million, two hundred ten thousand, four hundred one".

Divisors: 1 3 7 21 83 249 581 1187 1743 3561 8309 11197 13513 24927 33591 40539 78379 94591 98521 235137 283773 295563 689647 929351 1121579 2068941 2788053 3364737 6505457 7851053 13290839 16039931 19516371 23553159 39872517 48119793 93035873 112279517 151305061 279107619 336838551 453915183 1059135427 1103139637 1331314273 3177406281 3309418911 3993942819 7721977459 9319199911 12558320063 23165932377 27957599733 37674960189 87908240441 179599107407 263724721323 538797322221 1257193751849 3771581255547 14906725914781 44720177744343 104347081403467 313041244210401