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103123243340200 = 23524330893881863
BaseRepresentation
bin10111011100101001000000…
…010010011001000110101000
3111112010111010010200011120101
4113130221000102121012220
5102004032400243341300
61003154055230435144
730502260050411146
oct2734510022310650
9445114103604511
10103123243340200
112a94935a4a2516
12b695b85662ab4
134570631a94a05
141b67297abc596
15bdc713ac8b6a
hex5dca404991a8

103123243340200 has 96 divisors (see below), whose sum is σ = 245416876689600. Its totient is φ = 40276957916160.

The previous prime is 103123243340177. The next prime is 103123243340233. The reversal of 103123243340200 is 2043342321301.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24624469 + ... + 28506331.

It is an arithmetic number, because the mean of its divisors is an integer number (2556425798850).

Almost surely, 2103123243340200 is an apocalyptic number.

103123243340200 is a gapful number since it is divisible by the number (10) 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 103123243340200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122708438344800).

103123243340200 is an abundant number, since it is smaller than the sum of its proper divisors (142293633349400).

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

103123243340200 is a wasteful number, since it uses less digits than its factorization.

103123243340200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3885011 (or 3885002 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 103123243340200 its reverse (2043342321301), we get a palindrome (105166585661501).

The spelling of 103123243340200 in words is "one hundred three trillion, one hundred twenty-three billion, two hundred forty-three million, three hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 344 430 860 1075 1720 2150 3089 4300 6178 8600 12356 15445 24712 30890 61780 77225 123560 132827 154450 265654 308900 531308 617800 664135 1062616 1328270 2656540 3320675 3881863 5313080 6641350 7763726 13282700 15527452 19409315 26565400 31054904 38818630 77637260 97046575 155274520 166920109 194093150 333840218 388186300 667680436 776372600 834600545 1335360872 1669201090 3338402180 4173002725 6676804360 8346005450 11991074807 16692010900 23982149614 33384021800 47964299228 59955374035 95928598456 119910748070 239821496140 299776870175 479642992280 515616216701 599553740350 1031232433402 1199107480700 2062464866804 2398214961400 2578081083505 4124929733608 5156162167010 10312324334020 12890405417525 20624648668040 25780810835050 51561621670100 103123243340200