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103340233122 = 237192311095077
BaseRepresentation
bin110000000111110001…
…1101101000110100010
3100212201221212202200120
41200033203231012202
53143120044424442
6115250203501110
710315603326330
oct1401743550642
9325657782616
10103340233122
113a90a95a745
1218040527796
13998b83a749
145004910b50
152a4c5d84ec
hex180f8ed1a2

103340233122 has 128 divisors (see below), whose sum is σ = 259733606400. Its totient is φ = 26726236416.

The previous prime is 103340233093. The next prime is 103340233133. The reversal of 103340233122 is 221332043301.

It is a junction number, because it is equal to n+sod(n) for n = 103340233092 and 103340233101.

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, 20352048 + ... + 20357124.

It is an arithmetic number, because the mean of its divisors is an integer number (2029168800).

Almost surely, 2103340233122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103340233122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129866803200).

103340233122 is an abundant number, since it is smaller than the sum of its proper divisors (156393373278).

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

103340233122 is a wasteful number, since it uses less digits than its factorization.

103340233122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6240.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 103340233122 its reverse (221332043301), we get a palindrome (324672276423).

The spelling of 103340233122 in words is "one hundred three billion, three hundred forty million, two hundred thirty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 19 21 23 38 42 46 57 69 114 133 138 161 266 322 399 437 483 798 874 966 1109 1311 2218 2622 3059 3327 5077 6118 6654 7763 9177 10154 15231 15526 18354 21071 23289 25507 30462 35539 42142 46578 51014 63213 71078 76521 96463 106617 116771 126426 147497 153042 178549 192926 213234 233542 289389 294994 350313 357098 442491 484633 535647 578778 675241 700626 817397 884982 969266 1071294 1350482 1453899 1634794 2025723 2218649 2452191 2907798 3392431 4051446 4437298 4904382 5630393 6655947 6784862 10177293 11260786 13311894 15530543 16891179 20354586 31061086 33782358 39412751 46591629 78825502 93183258 106977467 118238253 129499039 213954934 236476506 258998078 320932401 388497117 641864802 748842269 776994234 906493273 1497684538 1812986546 2246526807 2460481741 2719479819 4493053614 4920963482 5438959638 7381445223 14762890446 17223372187 34446744374 51670116561 103340233122