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10104040024200 = 233352107113154753
BaseRepresentation
bin1001001100001000011110…
…1101110110100010001000
31022202221021220220002102000
42103002013231312202020
52311021033221233300
633253422031511000
72061664350065103
oct223020755664210
938687256802360
1010104040024200
1132461102000a1
121172292688460
13583a64961215
1426d07696173a
15127c68babc00
hex93087b76888

10104040024200 has 384 divisors, whose sum is σ = 35439161212800. Its totient is φ = 2645590671360.

The previous prime is 10104040024181. The next prime is 10104040024219. The reversal of 10104040024200 is 242004040101.

10104040024200 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 40 + 400 + 24 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (10104040024181) and next prime (10104040024219).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65214024 + ... + 65368776.

It is an arithmetic number, because the mean of its divisors is an integer number (92289482325).

Almost surely, 210104040024200 is an apocalyptic number.

10104040024200 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 10104040024200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17719580606400).

10104040024200 is an abundant number, since it is smaller than the sum of its proper divisors (25335121188600).

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

10104040024200 is a wasteful number, since it uses less digits than its factorization.

10104040024200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154998 (or 154983 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10104040024200 its reverse (242004040101), we get a palindrome (10346044064301).

The spelling of 10104040024200 in words is "ten trillion, one hundred four billion, forty million, twenty-four thousand, two hundred".