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123102241400 = 23525323349843
BaseRepresentation
bin111001010100101110…
…1110010001001111000
3102202202012120210200002
41302221131302021320
54004103133211100
6132315152132132
711615405533655
oct1625135621170
9382665523602
10123102241400
1148231007a96
121ba36837048
13b7bab18678
145d5b364c2c
1533074e32d5
hex1ca9772278

123102241400 has 96 divisors (see below), whose sum is σ = 292870384560. Its totient is φ = 48103511040.

The previous prime is 123102241397. The next prime is 123102241411. The reversal of 123102241400 is 4142201321.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent 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, 2444879 + ... + 2494721.

Almost surely, 2123102241400 is an apocalyptic number.

123102241400 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 123102241400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146435192280).

123102241400 is an abundant number, since it is smaller than the sum of its proper divisors (169768143160).

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

123102241400 is a wasteful number, since it uses less digits than its factorization.

123102241400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50145 (or 50136 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 123102241400 its reverse (4142201321), we get a palindrome (127244442721).

The spelling of 123102241400 in words is "one hundred twenty-three billion, one hundred two million, two hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 200 212 233 265 424 466 530 932 1060 1165 1325 1864 2120 2330 2650 4660 5300 5825 9320 10600 11650 12349 23300 24698 46600 49396 49843 61745 98792 99686 123490 199372 246980 249215 308725 398744 493960 498430 617450 996860 1234900 1246075 1993720 2469800 2492150 2641679 4984300 5283358 9968600 10566716 11613419 13208395 21133432 23226838 26416790 46453676 52833580 58067095 66041975 92907352 105667160 116134190 132083950 232268380 264167900 290335475 464536760 528335800 580670950 615511207 1161341900 1231022414 2322683800 2462044828 3077556035 4924089656 6155112070 12310224140 15387780175 24620448280 30775560350 61551120700 123102241400