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123414043102300 = 22522952278141681
BaseRepresentation
bin11100000011111010010010…
…001100110000110001011100
3121011222021012212012012012101
4130003322102030300301130
5112134003430013233200
61114251343445014444
734665241015556416
oct3403722214606134
9534867185165171
10123414043102300
1136361668a2a955
1211a125753b4424
1353b2b81ab86a2
1422693b32219b6
15e4043858c26a
hex703e92330c5c

123414043102300 has 72 divisors (see below), whose sum is σ = 277096284858960. Its totient is φ = 47654230041600.

The previous prime is 123414043102253. The next prime is 123414043102303. The reversal of 123414043102300 is 3201340414321.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123414043102303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11087460 + ... + 19229140.

It is an arithmetic number, because the mean of its divisors is an integer number (3848559511930).

Almost surely, 2123414043102300 is an apocalyptic number.

123414043102300 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 123414043102300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138548142429480).

123414043102300 is an abundant number, since it is smaller than the sum of its proper divisors (153682241756660).

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

123414043102300 is a wasteful number, since it uses less digits than its factorization.

123414043102300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8146951 (or 8146944 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 123414043102300 its reverse (3201340414321), we get a palindrome (126615383516621).

The spelling of 123414043102300 in words is "one hundred twenty-three trillion, four hundred fourteen billion, forty-three million, one hundred two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 5227 10454 20908 26135 52270 104540 130675 151583 261350 303166 522700 606332 757915 1515830 3031660 3789575 7579150 8141681 15158300 16283362 32566724 40708405 81416810 162833620 203542025 236108749 407084050 472217498 814168100 944434996 1180543745 2361087490 4722174980 5902718725 11805437450 23610874900 42556566587 85113133174 170226266348 212782832935 425565665870 851131331740 1063914164675 1234140431023 2127828329350 2468280862046 4255656658700 4936561724092 6170702155115 12341404310230 24682808620460 30853510775575 61707021551150 123414043102300