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104202003024 = 24327374875737
BaseRepresentation
bin110000100001011101…
…1000110001001010000
3100221222000110012202100
41201002323012021100
53201401203044044
6115511510320400
710346136261120
oct1410273061120
9327860405670
10104202003024
1140212350179
1218241059100
139a9823a072
145087158c80
152a9d0b2869
hex1842ec6250

104202003024 has 240 divisors, whose sum is σ = 343051241728. Its totient is φ = 28902832128.

The previous prime is 104202003023. The next prime is 104202003043. The reversal of 104202003024 is 420300202401.

104202003024 is a `hidden beast` number, since 10 + 420 + 200 + 30 + 2 + 4 = 666.

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 = 104202002988 and 104202003006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104202003023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18160284 + ... + 18166020.

Almost surely, 2104202003024 is an apocalyptic number.

104202003024 is a gapful number since it is divisible by the number (14) 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 104202003024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171525620864).

104202003024 is an abundant number, since it is smaller than the sum of its proper divisors (238849238704).

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

104202003024 is a wasteful number, since it uses less digits than its factorization.

104202003024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6282 (or 6273 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 104202003024 its reverse (420300202401), we get a palindrome (524502205425).

The spelling of 104202003024 in words is "one hundred four billion, two hundred two million, three thousand, twenty-four".