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200121120200 = 235217105156003
BaseRepresentation
bin1011101001100000100…
…1011111010111001000
3201010112210012020011202
42322120021133113020
511234322001321300
6231533454043332
720313121312061
oct2723011372710
9633483166152
10200121120200
1177964178641
12329501a9548
1315b43448c31
14998620d568
155313debad5
hex2e9825f5c8

200121120200 has 96 divisors (see below), whose sum is σ = 493128660960. Its totient is φ = 75266688000.

The previous prime is 200121120181. The next prime is 200121120211. The reversal of 200121120200 is 2021121002.

It is a happy number.

200121120200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 3545399 + ... + 3601401.

It is an arithmetic number, because the mean of its divisors is an integer number (5136756885).

Almost surely, 2200121120200 is an apocalyptic number.

200121120200 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 200121120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246564330480).

200121120200 is an abundant number, since it is smaller than the sum of its proper divisors (293007540760).

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

200121120200 is a wasteful number, since it uses less digits than its factorization.

200121120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57087 (or 57078 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 200121120200 its reverse (2021121002), we get a palindrome (202142241202).

The spelling of 200121120200 in words is "two hundred billion, one hundred twenty-one million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1051 1700 2102 3400 4204 5255 8408 10510 17867 21020 26275 35734 42040 52550 56003 71468 89335 105100 112006 142936 178670 210200 224012 280015 357340 446675 448024 560030 714680 893350 952051 1120060 1400075 1786700 1904102 2240120 2800150 3573400 3808204 4760255 5600300 7616408 9520510 11200600 19041020 23801275 38082040 47602550 58859153 95205100 117718306 190410200 235436612 294295765 470873224 588591530 1000605601 1177183060 1471478825 2001211202 2354366120 2942957650 4002422404 5003028005 5885915300 8004844808 10006056010 11771830600 20012112020 25015140025 40024224040 50030280050 100060560100 200121120200