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4104022301120 = 265753269128509
BaseRepresentation
bin111011101110001010110…
…010101001100111000000
3112112100012101000010000102
4323232022302221213000
51014220014202113440
612421210052541532
7602335332660050
oct73561262514700
915470171003012
104104022301120
111342562663075
125634789218a8
1323a013a374c1
141028c867b560
1571b4d3c2b15
hex3bb8aca99c0

4104022301120 has 224 divisors, whose sum is σ = 11421927676800. Its totient is φ = 1375401590784.

The previous prime is 4104022301089. The next prime is 4104022301191. The reversal of 4104022301120 is 211032204014.

4104022301120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×41040223011203 (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4104022301092 and 4104022301101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31871426 + ... + 31999934.

Almost surely, 24104022301120 is an apocalyptic number.

4104022301120 is a gapful number since it is divisible by the number (40) 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 4104022301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5710963838400).

4104022301120 is an abundant number, since it is smaller than the sum of its proper divisors (7317905375680).

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

4104022301120 is a wasteful number, since it uses less digits than its factorization.

4104022301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128855 (or 128845 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 4104022301120 its reverse (211032204014), we get a palindrome (4315054505134).

The spelling of 4104022301120 in words is "four trillion, one hundred four billion, twenty-two million, three hundred one thousand, one hundred twenty".