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21144113400 = 2335235240189
BaseRepresentation
bin10011101100010010…
…011001000011111000
32000120120101020210010
4103230102121003320
5321300343112100
613414035421520
71345653666324
oct235422310370
960516336703
1021144113400
118a70334393
1241211548a0
131cbc732507
141048228984
1583b417750
hex4ec4990f8

21144113400 has 48 divisors (see below), whose sum is σ = 65546753400. Its totient is φ = 5638430080.

The previous prime is 21144113399. The next prime is 21144113407. The reversal of 21144113400 is 431144112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21144113407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17619495 + ... + 17620694.

Almost surely, 221144113400 is an apocalyptic number.

21144113400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21144113400 is an abundant number, since it is smaller than the sum of its proper divisors (44402640000).

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

21144113400 is a wasteful number, since it uses less digits than its factorization.

21144113400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35240208 (or 35240199 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 21144113400 its reverse (431144112), we get a palindrome (21575257512).

The spelling of 21144113400 in words is "twenty-one billion, one hundred forty-four million, one hundred thirteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 35240189 70480378 105720567 140960756 176200945 211441134 281921512 352401890 422882268 528602835 704803780 845764536 881004725 1057205670 1409607560 1762009450 2114411340 2643014175 3524018900 4228822680 5286028350 7048037800 10572056700 21144113400