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12311135104 = 27536832657
BaseRepresentation
bin10110111011100110…
…10000001110000000
31011202222120110110211
423131303100032000
5200203122310404
65353342203504
7614036631112
oct133563201600
934688513424
1012311135104
115248351024
122476b83594
131212760a38
1484b08d3b2
154c0c2db04
hex2ddcd0380

12311135104 has 64 divisors (see below), whose sum is σ = 25034851440. Its totient is φ = 6028312576.

The previous prime is 12311135093. The next prime is 12311135117. The reversal of 12311135104 is 40153111321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4632144 + ... + 4634800.

Almost surely, 212311135104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12311135104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12517425720).

12311135104 is an abundant number, since it is smaller than the sum of its proper divisors (12723716336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12311135104 is an equidigital number, since it uses as much as digits as its factorization.

12311135104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3407 (or 3395 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

Adding to 12311135104 its reverse (40153111321), we get a palindrome (52464246425).

The spelling of 12311135104 in words is "twelve billion, three hundred eleven million, one hundred thirty-five thousand, one hundred four".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 424 683 848 1366 1696 2657 2732 3392 5314 5464 6784 10628 10928 21256 21856 36199 42512 43712 72398 85024 87424 140821 144796 170048 281642 289592 340096 563284 579184 1126568 1158368 1814731 2253136 2316736 3629462 4506272 4633472 7258924 9012544 14517848 18025088 29035696 58071392 96180743 116142784 192361486 232285568 384722972 769445944 1538891888 3077783776 6155567552 12311135104