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20123243400 = 233521317279113
BaseRepresentation
bin10010101111011100…
…000101001110001000
31220221102102200102010
4102233130011032020
5312203022242100
613124450535520
71311446514051
oct225734051610
956842380363
1020123243400
118597056677
123a972975a0
131b89098c20
14d8c807728
157cb9b2750
hex4af705388

20123243400 has 576 divisors, whose sum is σ = 72907833600. Its totient is φ = 4562288640.

The previous prime is 20123243377. The next prime is 20123243411. The reversal of 20123243400 is 434232102.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 178081744 + ... + 178081856.

It is an arithmetic number, because the mean of its divisors is an integer number (126576100).

Almost surely, 220123243400 is an apocalyptic number.

20123243400 is a gapful number since it is divisible by the number (20) 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 20123243400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36453916800).

20123243400 is an abundant number, since it is smaller than the sum of its proper divisors (52784590200).

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

20123243400 is a wasteful number, since it uses less digits than its factorization.

20123243400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 20123243400 its reverse (434232102), we get a palindrome (20557475502).

The spelling of 20123243400 in words is "twenty billion, one hundred twenty-three million, two hundred forty-three thousand, four hundred".