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11310441324 = 22371313037949
BaseRepresentation
bin10101000100010011…
…11010001101101100
31002012020120221200020
422202021322031230
5141130433110244
65110154002140
7550166110410
oct124211721554
932166527606
1011310441324
1148844a3a76
122237a16350
1310b333cb40
14794200d40
15462e61d19
hex2a227a36c

11310441324 has 96 divisors (see below), whose sum is σ = 32510284800. Its totient is φ = 2980309248.

The previous prime is 11310441323. The next prime is 11310441341. The reversal of 11310441324 is 42314401311.

It is a junction number, because it is equal to n+sod(n) for n = 11310441294 and 11310441303.

It is not an unprimeable number, because it can be changed into a prime (11310441323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1418902 + ... + 1426850.

It is an arithmetic number, because the mean of its divisors is an integer number (338648800).

Almost surely, 211310441324 is an apocalyptic number.

11310441324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11310441324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16255142400).

11310441324 is an abundant number, since it is smaller than the sum of its proper divisors (21199843476).

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

11310441324 is a wasteful number, since it uses less digits than its factorization.

11310441324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9279 (or 9277 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 11310441324 its reverse (42314401311), we get a palindrome (53624842635).

The spelling of 11310441324 in words is "eleven billion, three hundred ten million, four hundred forty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 1303 2606 3909 5212 7818 7949 9121 15636 15898 16939 18242 23847 27363 31796 33878 36484 47694 50817 54726 55643 67756 95388 101634 103337 109452 111286 118573 166929 203268 206674 222572 237146 310011 333858 355719 413348 474292 620022 667716 711438 723359 1240044 1422876 1446718 2170077 2893436 4340154 8680308 10357547 20715094 31072641 41430188 62145282 72502829 124290564 134648111 145005658 217508487 269296222 290011316 403944333 435016974 538592444 807888666 870033948 942536777 1615777332 1885073554 2827610331 3770147108 5655220662 11310441324