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124314213400 = 235213234334801
BaseRepresentation
bin111001111000110110…
…1000101110000011000
3102212212200010100200221
41303301231011300120
54014043414312100
6133035325005424
711660423244016
oct1636155056030
9385780110627
10124314213400
11487a3150543
12201146b3874
13b951c42170
1460342cd8b6
153378ae601a
hex1cf1b45c18

124314213400 has 192 divisors, whose sum is σ = 325614784320. Its totient is φ = 43794432000.

The previous prime is 124314213389. The next prime is 124314213421. The reversal of 124314213400 is 4312413421.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25891000 + ... + 25895800.

It is an arithmetic number, because the mean of its divisors is an integer number (1695910335).

Almost surely, 2124314213400 is an apocalyptic number.

124314213400 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 124314213400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162807392160).

124314213400 is an abundant number, since it is smaller than the sum of its proper divisors (201300570920).

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

124314213400 is a wasteful number, since it uses less digits than its factorization.

124314213400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5286 (or 5277 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 124314213400 its reverse (4312413421), we get a palindrome (128626626821).

The spelling of 124314213400 in words is "one hundred twenty-four billion, three hundred fourteen million, two hundred thirteen thousand, four hundred".