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1000201200 = 243521276563
BaseRepresentation
bin111011100111011…
…101101111110000
32120201001111002220
4323213131233300
54022022414300
6243125441040
733533366325
oct7347355760
92521044086
101000201200
11473650a69
1223ab70180
1312c2aa93b
1496ba0b4c
155cc20da0
hex3b9ddbf0

1000201200 has 120 divisors (see below), whose sum is σ = 3229698048. Its totient is φ = 264579840.

The previous prime is 1000201193. The next prime is 1000201229. The reversal of 1000201200 is 21020001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149119 + ... + 155681.

Almost surely, 21000201200 is an apocalyptic number.

1000201200 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 1000201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614849024).

1000201200 is an abundant number, since it is smaller than the sum of its proper divisors (2229496848).

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

1000201200 is a wasteful number, since it uses less digits than its factorization.

1000201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6711 (or 6700 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 1000201200 is about 31625.9576930091. The cubic root of 1000201200 is about 1000.0670621692.

Adding to 1000201200 its reverse (21020001), we get a palindrome (1021221201).

The spelling of 1000201200 in words is "one billion, two hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 127 150 200 240 254 300 381 400 508 600 635 762 1016 1200 1270 1524 1905 2032 2540 3048 3175 3810 5080 6096 6350 6563 7620 9525 10160 12700 13126 15240 19050 19689 25400 26252 30480 32815 38100 39378 50800 52504 65630 76200 78756 98445 105008 131260 152400 157512 164075 196890 262520 315024 328150 393780 492225 525040 656300 787560 833501 984450 1312600 1575120 1667002 1968900 2500503 2625200 3334004 3937800 4167505 5001006 6668008 7875600 8335010 10002012 12502515 13336016 16670020 20004024 20837525 25005030 33340040 40008048 41675050 50010060 62512575 66680080 83350100 100020120 125025150 166700200 200040240 250050300 333400400 500100600 1000201200