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13111033012 = 227111719912583
BaseRepresentation
bin11000011010111101…
…00111110010110100
31020211201201111010021
430031132213302310
5203322411024022
610004554534524
7642621641020
oct141536476264
936751644107
1013111033012
115618922180
12265aa37444
13130c3a92cc
148c53cd380
1551b0857c7
hex30d7a7cb4

13111033012 has 96 divisors (see below), whose sum is σ = 30443212800. Its totient is φ = 4783173120.

The previous prime is 13111033009. The next prime is 13111033021. The reversal of 13111033012 is 21033011131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1035673 + ... + 1048255.

It is an arithmetic number, because the mean of its divisors is an integer number (317116800).

Almost surely, 213111033012 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 13111033012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15221606400).

13111033012 is an abundant number, since it is smaller than the sum of its proper divisors (17332179788).

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

13111033012 is a wasteful number, since it uses less digits than its factorization.

13111033012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12821 (or 12819 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 13111033012 its reverse (21033011131), we get a palindrome (34144044143).

The spelling of 13111033012 in words is "thirteen billion, one hundred eleven million, thirty-three thousand, twelve".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 68 77 119 154 187 199 238 308 374 398 476 748 796 1309 1393 2189 2618 2786 3383 4378 5236 5572 6766 8756 12583 13532 15323 23681 25166 30646 37213 47362 50332 61292 74426 88081 94724 138413 148852 176162 213911 260491 276826 352324 427822 520982 553652 855644 968891 1041964 1497377 1937782 2353021 2504017 2994754 3875564 4706042 5008034 5989508 9412084 10016068 16471147 17528119 27544187 32942294 35056238 42568289 55088374 65884588 70112476 85136578 110176748 170273156 192809309 297978023 385618618 468251179 595956046 771237236 936502358 1191912092 1873004716 3277758253 6555516506 13111033012