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204114122143000 = 23534119072610589
BaseRepresentation
bin101110011010010000000101…
…101111100111010100011000
3222202201010020010021022000121
4232122100011233213110120
5203223201210232034000
62002040422213043024
760664521140452666
oct5632200557472430
9882633203238017
10204114122143000
115a045349784083
121aa86826626474
1389b7b575a0384
1438592677b3c36
15188e723e92b1a
hexb9a405be7518

204114122143000 has 128 divisors (see below), whose sum is σ = 489533242161600. Its totient is φ = 79612491648000.

The previous prime is 204114122142977. The next prime is 204114122143007. The reversal of 204114122143000 is 341221411402.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204114122143007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76881706 + ... + 79492294.

Almost surely, 2204114122143000 is an apocalyptic number.

204114122143000 is a gapful number since it is divisible by the number (20) 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 204114122143000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244766621080800).

204114122143000 is an abundant number, since it is smaller than the sum of its proper divisors (285419120018600).

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

204114122143000 is a wasteful number, since it uses less digits than its factorization.

204114122143000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2612558 (or 2612544 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 204114122143000 its reverse (341221411402), we get a palindrome (204455343554402).

The spelling of 204114122143000 in words is "two hundred four trillion, one hundred fourteen billion, one hundred twenty-two million, one hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 125 164 200 205 250 328 410 500 820 1000 1025 1640 1907 2050 3814 4100 5125 7628 8200 9535 10250 15256 19070 20500 38140 41000 47675 76280 78187 95350 156374 190700 238375 312748 381400 390935 476750 625496 781870 953500 1563740 1907000 1954675 2610589 3127480 3909350 5221178 7818700 9773375 10442356 13052945 15637400 19546750 20884712 26105890 39093500 52211780 65264725 78187000 104423560 107034149 130529450 214068298 261058900 326323625 428136596 522117800 535170745 652647250 856273192 1070341490 1305294500 2140682980 2610589000 2675853725 4281365960 4978393223 5351707450 9956786446 10703414900 13379268625 19913572892 21406829800 24891966115 26758537250 39827145784 49783932230 53517074500 99567864460 107034149000 124459830575 199135728920 204114122143 248919661150 408228244286 497839322300 622299152875 816456488572 995678644600 1020570610715 1244598305750 1632912977144 2041141221430 2489196611500 4082282442860 4978393223000 5102853053575 8164564885720 10205706107150 20411412214300 25514265267875 40822824428600 51028530535750 102057061071500 204114122143000