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13311331122 = 23293714231453
BaseRepresentation
bin11000110010110101…
…01100101100110010
31021100200121200110210
430121122230230302
5204230200043442
610040512004550
7650603306355
oct143132545462
937320550423
1013311331122
115710999101
1226b5b30756
131341a391bb
14903c4c29c
1552d94d19c
hex3196acb32

13311331122 has 64 divisors (see below), whose sum is σ = 28324385280. Its totient is φ = 4162523904.

The previous prime is 13311331097. The next prime is 13311331147. The reversal of 13311331122 is 22113311331.

It is a happy number.

13311331122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13311331097) and next prime (13311331147).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9160548 + ... + 9162000.

It is an arithmetic number, because the mean of its divisors is an integer number (442568520).

Almost surely, 213311331122 is an apocalyptic number.

13311331122 is an abundant number, since it is smaller than the sum of its proper divisors (15013054158).

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

13311331122 is a wasteful number, since it uses less digits than its factorization.

13311331122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2947.

The product of its digits is 324, while the sum is 21.

Adding to 13311331122 its reverse (22113311331), we get a palindrome (35424642453).

The spelling of 13311331122 in words is "thirteen billion, three hundred eleven million, three hundred thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 29 37 58 74 87 111 174 222 1073 1423 1453 2146 2846 2906 3219 4269 4359 6438 8538 8718 41267 42137 52651 53761 82534 84274 105302 107522 123801 126411 157953 161283 247602 252822 315906 322566 1526879 1559069 2067619 3053758 3118138 4135238 4580637 4677207 6202857 9161274 9354414 12405714 59960951 76501903 119921902 153003806 179882853 229505709 359765706 459011418 2218555187 4437110374 6655665561 13311331122