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1310032122311 = 111929509424639
BaseRepresentation
bin10011000100000011111…
…111111101000111000111
311122020102101120001212202
4103010003333331013013
5132430421210403221
62441453114505115
7163434550211363
oct23040377750707
94566371501782
101310032122311
11465643a87170
12191a8713519b
13966c66508a3
1447597ab02a3
1524124a2ad0b
hex13103ffd1c7

1310032122311 has 32 divisors (see below), whose sum is σ = 1559278080000. Its totient is φ = 1087209164160.

The previous prime is 1310032122299. The next prime is 1310032122317. The reversal of 1310032122311 is 1132212300131.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1310032122311 - 238 = 1035154215367 is a prime.

It is a super-2 number, since 2×13100321223112 (a number of 25 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 (1310032122317) 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 31 ways as a sum of consecutive naturals, for example, 2872730 + ... + 3297368.

It is an arithmetic number, because the mean of its divisors is an integer number (48727440000).

Almost surely, 21310032122311 is an apocalyptic number.

1310032122311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1310032122311 is a deficient number, since it is larger than the sum of its proper divisors (249245957689).

1310032122311 is a wasteful number, since it uses less digits than its factorization.

1310032122311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425207.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1310032122311 its reverse (1132212300131), we get a palindrome (2442244422442).

The spelling of 1310032122311 in words is "one trillion, three hundred ten billion, thirty-two million, one hundred twenty-two thousand, three hundred eleven".

Divisors: 1 11 19 29 209 319 509 551 5599 6061 9671 14761 106381 162371 280459 424639 3085049 4671029 8068141 12314531 88749551 135459841 216141251 233976089 2377553761 2573736979 4106683769 6268096279 45173521459 68949059069 119093829301 1310032122311