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10340111012 = 22711234333371
BaseRepresentation
bin10011010000101000…
…11001001010100100
3222200121202001201112
421220110121022210
5132134032023022
64430012244152
7514144331150
oct115024311244
928617661645
1010340111012
1144267a54a0
122006a70658
13c8a2c04aa
147013b8060
15407b918e2
hex2685192a4

10340111012 has 96 divisors (see below), whose sum is σ = 23602489344. Its totient is φ = 3843417600.

The previous prime is 10340110993. The next prime is 10340111017. The reversal of 10340111012 is 21011104301.

It is a super-3 number, since 3×103401110123 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (10340111017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3065687 + ... + 3069057.

It is an arithmetic number, because the mean of its divisors is an integer number (245859264).

Almost surely, 210340111012 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 10340111012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11801244672).

10340111012 is an abundant number, since it is smaller than the sum of its proper divisors (13262378332).

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

10340111012 is a wasteful number, since it uses less digits than its factorization.

10340111012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3849 (or 3847 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10340111012 its reverse (21011104301), we get a palindrome (31351215313).

The spelling of 10340111012 in words is "ten billion, three hundred forty million, one hundred eleven thousand, twelve".

Divisors: 1 2 4 7 11 14 22 23 28 44 46 77 92 154 161 253 308 322 433 506 644 866 1012 1732 1771 3031 3371 3542 4763 6062 6742 7084 9526 9959 12124 13484 19052 19918 23597 33341 37081 39836 47194 66682 69713 74162 77533 94388 109549 133364 139426 148324 155066 219098 259567 278852 310132 438196 519134 542731 766843 852863 1038268 1085462 1459643 1533686 1705726 2170924 2919286 3067372 3411452 5838572 5970041 10217501 11940082 16056073 20435002 23880164 32112146 33571789 40870004 64224292 67143578 112392511 134287156 224785022 235002523 369289679 449570044 470005046 738579358 940010092 1477158716 2585027753 5170055506 10340111012