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13110101334 = 23211611915683
BaseRepresentation
bin11000011010110110…
…00100010101010110
31020211122222011002200
430031123010111112
5203322141220314
610004522545330
7642611010531
oct141533042526
936748864080
1013110101334
1156183461a0
12265a668246
13130c141215
148c5229a18
1551ae4e709
hex30d6c4556

13110101334 has 96 divisors (see below), whose sum is σ = 31665973248. Its totient is φ = 3886488000.

The previous prime is 13110101321. The next prime is 13110101339. The reversal of 13110101334 is 43310101131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13110101339) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2304057 + ... + 2309739.

It is an arithmetic number, because the mean of its divisors is an integer number (329853888).

Almost surely, 213110101334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13110101334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15832986624).

13110101334 is an abundant number, since it is smaller than the sum of its proper divisors (18555871914).

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

13110101334 is a wasteful number, since it uses less digits than its factorization.

13110101334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5954 (or 5951 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13110101334 its reverse (43310101131), we get a palindrome (56420202465).

The spelling of 13110101334 in words is "thirteen billion, one hundred ten million, one hundred one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 61 66 99 122 183 191 198 366 382 549 573 671 1098 1146 1342 1719 2013 2101 3438 4026 4202 5683 6039 6303 11366 11651 12078 12606 17049 18909 23302 34098 34953 37818 51147 62513 69906 102294 104859 125026 128161 187539 209718 256322 346663 375078 384483 562617 693326 768966 1039989 1085453 1125234 1153449 2079978 2170906 2306898 3119967 3256359 3813293 6239934 6512718 7626586 9769077 11439879 11939983 19538154 22879758 23879966 34319637 35819949 66212633 68639274 71639898 107459847 132425266 198637899 214919694 397275798 595913697 728338963 1191827394 1456677926 2185016889 4370033778 6555050667 13110101334