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200012342000 = 2453307325753
BaseRepresentation
bin1011101001000110101…
…0100010001011110000
3201010021012111201112112
42322101222202023300
511234111124421000
6231515010344452
720310330566342
oct2722152421360
9633235451475
10200012342000
11779088309a9
123291b88b128
1315b26a50a33
1499759b5292
1553095b1235
hex2e91aa22f0

200012342000 has 80 divisors (see below), whose sum is σ = 485206673952. Its totient is φ = 79744089600.

The previous prime is 200012341993. The next prime is 200012342021. The reversal of 200012342000 is 243210002.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 451124 + ... + 776876.

Almost surely, 2200012342000 is an apocalyptic number.

200012342000 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 200012342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242603336976).

200012342000 is an abundant number, since it is smaller than the sum of its proper divisors (285194331952).

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

200012342000 is a wasteful number, since it uses less digits than its factorization.

200012342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326083 (or 326067 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 200012342000 its reverse (243210002), we get a palindrome (200255552002).

The spelling of 200012342000 in words is "two hundred billion, twelve million, three hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 307 400 500 614 1000 1228 1535 2000 2456 3070 4912 6140 7675 12280 15350 24560 30700 38375 61400 76750 122800 153500 307000 325753 614000 651506 1303012 1628765 2606024 3257530 5212048 6515060 8143825 13030120 16287650 26060240 32575300 40719125 65150600 81438250 100006171 130301200 162876500 200012342 325753000 400024684 500030855 651506000 800049368 1000061710 1600098736 2000123420 2500154275 4000246840 5000308550 8000493680 10000617100 12500771375 20001234200 25001542750 40002468400 50003085500 100006171000 200012342000