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10104033420 = 22335132532089
BaseRepresentation
bin10010110100011111…
…10101000010001100
3222002011112002011000
421122033311002030
5131143113032140
64350340300300
7505246603245
oct113217650214
928064462130
1010104033420
114315510948
121b5b9a1690
13c50413b00
146bbcc3ccc
153e20aca30
hex25a3f508c

10104033420 has 288 divisors, whose sum is σ = 34697678400. Its totient is φ = 2439051264.

The previous prime is 10104033413. The next prime is 10104033497. The reversal of 10104033420 is 2433040101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10104033393 and 10104033402.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4835736 + ... + 4837824.

It is an arithmetic number, because the mean of its divisors is an integer number (120478050).

Almost surely, 210104033420 is an apocalyptic number.

10104033420 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 10104033420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17348839200).

10104033420 is an abundant number, since it is smaller than the sum of its proper divisors (24593644980).

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

10104033420 is a wasteful number, since it uses less digits than its factorization.

10104033420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2186 (or 2165 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10104033420 its reverse (2433040101), we get a palindrome (12537073521).

The spelling of 10104033420 in words is "ten billion, one hundred four million, thirty-three thousand, four hundred twenty".