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103112102310 = 235710933713367
BaseRepresentation
bin110000000000111110…
…1011101000110100110
3100212011001121112001020
41200001331131012212
53142133144233220
6115211414112010
710310133260040
oct1400175350646
9325131545036
10103112102310
113a803103688
1217b9804b606
1399534b41b9
144dc24c8a90
152a37574040
hex1801f5d1a6

103112102310 has 128 divisors (see below), whose sum is σ = 286284810240. Its totient is φ = 23281219584.

The previous prime is 103112102293. The next prime is 103112102323. The reversal of 103112102310 is 13201211301.

It is a happy number.

It is a super-2 number, since 2×1031121023102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 103112102310.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7707247 + ... + 7720613.

It is an arithmetic number, because the mean of its divisors is an integer number (2236600080).

Almost surely, 2103112102310 is an apocalyptic number.

103112102310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103112102310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143142405120).

103112102310 is an abundant number, since it is smaller than the sum of its proper divisors (183172707930).

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

103112102310 is a wasteful number, since it uses less digits than its factorization.

103112102310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13830.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 103112102310 its reverse (13201211301), we get a palindrome (116313313611).

The spelling of 103112102310 in words is "one hundred three billion, one hundred twelve million, one hundred two thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 109 210 218 327 337 545 654 674 763 1011 1090 1526 1635 1685 2022 2289 2359 3270 3370 3815 4578 4718 5055 7077 7630 10110 11445 11795 13367 14154 22890 23590 26734 35385 36733 40101 66835 70770 73466 80202 93569 110199 133670 183665 187138 200505 220398 257131 280707 367330 401010 467845 514262 550995 561414 771393 935690 1101990 1285655 1403535 1457003 1542786 2571310 2807070 2914006 3856965 4371009 4504679 7285015 7713930 8742018 9009358 10199021 13514037 14570030 20398042 21855045 22523395 27028074 30597063 31532753 43710090 45046790 50995105 61194126 63065506 67570185 94598259 101990210 135140370 152985315 157663765 189196518 305970630 315327530 472991295 491010011 945982590 982020022 1473030033 2455050055 2946060066 3437070077 4910100110 6874140154 7365150165 10311210231 14730300330 17185350385 20622420462 34370700770 51556051155 103112102310