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2315401263351 = 3211237151380557
BaseRepresentation
bin100001101100011000101…
…010110111100011110111
322012100110021222010020100
4201230120222313203313
5300413420210411401
64531403004405143
7326165542003011
oct41543052674367
98170407863210
102315401263351
11812a57718200
123148a72467b3
1313a4590a3657
14800cd2291b1
1540367813b86
hex21b18ab78f7

2315401263351 has 72 divisors (see below), whose sum is σ = 3800520100832. Its totient is φ = 1356301584000.

The previous prime is 2315401263341. The next prime is 2315401263377. The reversal of 2315401263351 is 1533621045132.

2315401263351 is a `hidden beast` number, since 2 + 3 + 1 + 5 + 4 + 0 + 12 + 633 + 5 + 1 = 666.

It is not a de Polignac number, because 2315401263351 - 213 = 2315401255159 is a prime.

It is a super-2 number, since 2×23154012633512 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2315401263311) 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 71 ways as a sum of consecutive naturals, for example, 5893965 + ... + 6274521.

Almost surely, 22315401263351 is an apocalyptic number.

2315401263351 is a deficient number, since it is larger than the sum of its proper divisors (1485118837481).

2315401263351 is a wasteful number, since it uses less digits than its factorization.

2315401263351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380773 (or 380759 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

It can be divided in two parts, 2315401 and 263351, that added together give a palindrome (2578752).

The spelling of 2315401263351 in words is "two trillion, three hundred fifteen billion, four hundred one million, two hundred sixty-three thousand, three hundred fifty-one".

Divisors: 1 3 9 11 33 37 99 111 121 151 333 363 407 453 1089 1221 1359 1661 3663 4477 4983 5587 13431 14949 16761 18271 40293 50283 54813 61457 164439 184371 380557 553113 676027 1141671 2028081 3425013 4186127 6084243 12558381 14080609 37675143 42241827 46047397 57464107 126725481 138142191 154886699 172392321 414426573 464660097 517176963 632105177 1393980291 1703753689 1896315531 2126171959 5111261067 5688946593 6378515877 6953156947 15333783201 19135547631 20859470841 23387891549 62578412523 70163674647 210491023941 257266807039 771800421117 2315401263351