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10703110122 = 234235383653
BaseRepresentation
bin10011111011111010…
…00111111111101010
31000121220210022220000
421331331013333222
5133404444010442
64530020443430
7526142635455
oct117575077752
930556708800
1010703110122
1145a2699061
1220a8549576
131017578373
147376aa49c
15429996d4c
hex27df47fea

10703110122 has 160 divisors (see below), whose sum is σ = 25844531328. Its totient is φ = 3302792064.

The previous prime is 10703110063. The next prime is 10703110133. The reversal of 10703110122 is 22101130701.

It is a happy number.

It is a super-2 number, since 2×107031101222 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10703110095 and 10703110104.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16390348 + ... + 16391000.

Almost surely, 210703110122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10703110122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12922265664).

10703110122 is an abundant number, since it is smaller than the sum of its proper divisors (15141421206).

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

10703110122 is a wasteful number, since it uses less digits than its factorization.

10703110122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

Adding to 10703110122 its reverse (22101130701), we get a palindrome (32804240823).

The spelling of 10703110122 in words is "ten billion, seven hundred three million, one hundred ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 27 46 53 54 69 81 83 106 138 159 162 166 207 249 318 414 477 498 621 653 747 954 1219 1242 1306 1431 1494 1863 1909 1959 2241 2438 2862 3657 3726 3818 3918 4293 4399 4482 5727 5877 6723 7314 8586 8798 10971 11454 11754 13197 13446 15019 17181 17631 21942 26394 30038 32913 34362 34609 35262 39591 45057 51543 52893 54199 65826 69218 79182 90114 98739 101177 103086 103827 105786 108398 118773 135171 154629 162597 197478 202354 207654 237546 270342 303531 309258 311481 325194 356319 405513 487791 607062 622962 712638 796007 811026 910593 934443 975582 1216539 1246577 1463373 1592014 1821186 1868886 2388021 2433078 2493154 2731779 2803329 2872547 2926746 3739731 4390119 4776042 5463558 5606658 5745094 7164063 7479462 8195337 8617641 8780238 11219193 14328126 16390674 17235282 21492189 22438386 25852923 33657579 42984378 51705846 64476567 66068581 67315158 77558769 100972737 128953134 132137162 155117538 198205743 201945474 232676307 396411486 465352614 594617229 1189234458 1783851687 3567703374 5351555061 10703110122