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4023042100 = 22527211101739
BaseRepresentation
bin1110111111001010…
…1100000000110100
3101101101001201021021
43233302230000310
531214344321400
61503111430524
7201460202500
oct35762540064
911341051237
104023042100
1117849a2090
12943385444
134c162b6ac
142a2431300
151882c771a
hexefcac034

4023042100 has 216 divisors, whose sum is σ = 11203345440. Its totient is φ = 1239840000.

The previous prime is 4023042097. The next prime is 4023042131. The reversal of 4023042100 is 12403204.

4023042100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5443531 + ... + 5444269.

It is an arithmetic number, because the mean of its divisors is an integer number (51867340).

Almost surely, 24023042100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4023042100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5601672720).

4023042100 is an abundant number, since it is smaller than the sum of its proper divisors (7180303340).

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

4023042100 is a wasteful number, since it uses less digits than its factorization.

4023042100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 4023042100 is about 63427.4554116748. The cubic root of 4023042100 is about 1590.4433055804.

Adding to 4023042100 its reverse (12403204), we get a palindrome (4035445304).

It can be divided in two parts, 402304 and 2100, that added together give a palindrome (404404).

The spelling of 4023042100 in words is "four billion, twenty-three million, forty-two thousand, one hundred".