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103421243112 = 233111741295581
BaseRepresentation
bin110000001010001100…
…0101110111011101000
3100212221121022111111120
41200110120232323220
53143301314234422
6115302220055240
710320606030135
oct1402430567350
9325847274446
10103421243112
113a951660750
1218063694520
1399a2562755
14501159b58c
152a5478b45c
hex181462eee8

103421243112 has 128 divisors (see below), whose sum is σ = 298775433600. Its totient is φ = 29483827200.

The previous prime is 103421243111. The next prime is 103421243141. The reversal of 103421243112 is 211342124301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (103421243111) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 18528162 + ... + 18533742.

It is an arithmetic number, because the mean of its divisors is an integer number (2334183075).

Almost surely, 2103421243112 is an apocalyptic number.

103421243112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103421243112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149387716800).

103421243112 is an abundant number, since it is smaller than the sum of its proper divisors (195354190488).

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

103421243112 is a wasteful number, since it uses less digits than its factorization.

103421243112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9747 (or 9743 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 103421243112 its reverse (211342124301), we get a palindrome (314763367413).

The spelling of 103421243112 in words is "one hundred three billion, four hundred twenty-one million, two hundred forty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 748 1122 1496 2244 4129 4488 5581 8258 11162 12387 16516 16743 22324 24774 33032 33486 44648 45419 49548 61391 66972 70193 90838 94877 99096 122782 133944 136257 140386 181676 184173 189754 210579 245564 272514 280772 284631 363352 368346 379508 421158 491128 545028 561544 569262 736692 759016 772123 842316 1043647 1090056 1138524 1473384 1544246 1684632 2087294 2277048 2316369 3088492 3130941 4174588 4632738 6176984 6261882 8349176 9265476 12523764 18530952 23043949 25047528 46087898 69131847 92175796 138263694 184351592 253483439 276527388 391747133 506966878 553054776 760450317 783494266 1013933756 1175241399 1520900634 1566988532 2027867512 2350482798 3041801268 3133977064 4309218463 4700965596 6083602536 8618436926 9401931192 12927655389 17236873852 25855310778 34473747704 51710621556 103421243112