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261316311311 = 111979101349449
BaseRepresentation
bin1111001101011110101…
…0100111100100001111
3220222111120202000220102
43303113222213210033
513240133433430221
6320014055241315
724610442666006
oct3632752474417
9828446660812
10261316311311
11a0907277450
124278a37923b
131b8466a57a3
14c90d6ddc3d
156be653a30b
hex3cd7aa790f

261316311311 has 64 divisors (see below), whose sum is σ = 308448000000. Its totient is φ = 218889216000.

The previous prime is 261316311301. The next prime is 261316311331. The reversal of 261316311311 is 113113613162.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 261316311311 - 222 = 261312117007 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 (261316311301) 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 63 ways as a sum of consecutive naturals, for example, 581996015 + ... + 581996463.

It is an arithmetic number, because the mean of its divisors is an integer number (4819500000).

Almost surely, 2261316311311 is an apocalyptic number.

261316311311 is a deficient number, since it is larger than the sum of its proper divisors (47131688689).

261316311311 is a wasteful number, since it uses less digits than its factorization.

261316311311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008.

The product of its digits is 1944, while the sum is 29.

Adding to 261316311311 its reverse (113113613162), we get a palindrome (374429924473).

The spelling of 261316311311 in words is "two hundred sixty-one billion, three hundred sixteen million, three hundred eleven thousand, three hundred eleven".

Divisors: 1 11 19 79 101 209 349 449 869 1111 1501 1919 3839 4939 6631 7979 8531 16511 21109 27571 35249 35471 45349 72941 87769 93841 151601 156701 303281 387739 390181 498839 523849 669731 673949 861631 1667611 1723711 2784671 2977319 3582571 5762339 7367041 7413439 9477941 12379379 15826801 30631381 32750509 39408281 52908749 68068849 136173169 174094811 235208201 300709219 581996239 748757339 1250317279 2587290211 3307801409 13753490069 23756028301 261316311311