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1131220221311 = 31101719502499
BaseRepresentation
bin10000011101100001111…
…110101011110101111111
311000010212200102100001202
4100131201332223311333
5122013214334040221
62223401515130115
7144504456141635
oct20354176536577
94003780370052
101131220221311
113a6825362394
121632a344393b
138289abc48cb
143ca739c7355
151e65b7abd0b
hex10761fabd7f

1131220221311 has 16 divisors (see below), whose sum is σ = 1180915200000. Its totient is φ = 1082380692000.

The previous prime is 1131220221293. The next prime is 1131220221323.

1131220221311 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1131220221311 - 226 = 1131153112447 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 (1131220221361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1999940 + ... + 2502438.

It is an arithmetic number, because the mean of its divisors is an integer number (73807200000).

Almost surely, 21131220221311 is an apocalyptic number.

1131220221311 is a deficient number, since it is larger than the sum of its proper divisors (49694978689).

1131220221311 is a wasteful number, since it uses less digits than its factorization.

1131220221311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503350.

The product of its (nonzero) digits is 144, while the sum is 20.

It can be divided in two parts, 1131220 and 221311, that added together give a palindrome (1352531).

The spelling of 1131220221311 in words is "one trillion, one hundred thirty-one billion, two hundred twenty million, two hundred twenty-one thousand, three hundred eleven".

Divisors: 1 31 101 719 3131 22289 72619 502499 2251189 15577469 50752399 361296781 1573324369 11200200211 36490974881 1131220221311