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200012220100 = 225271131837923
BaseRepresentation
bin1011101001000110101…
…0000100011011000100
3201010021012021112022201
42322101222010123010
511234111112020400
6231515004004244
720310326551060
oct2722152043304
9633235245281
10200012220100
1177908758360
123291b830684
1315b26a0a3c4
149975982aa0
15530958a06a
hex2e91a846c4

200012220100 has 144 divisors (see below), whose sum is σ = 558580248576. Its totient is φ = 60330384000.

The previous prime is 200012220041. The next prime is 200012220101. The reversal of 200012220100 is 1022210002.

200012220100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (200012220101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180262 + ... + 657661.

It is an arithmetic number, because the mean of its divisors is an integer number (3879029504).

Almost surely, 2200012220100 is an apocalyptic number.

200012220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200012220100 is an abundant number, since it is smaller than the sum of its proper divisors (358568028476).

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

200012220100 is a wasteful number, since it uses less digits than its factorization.

200012220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837986 (or 837979 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 200012220100 its reverse (1022210002), we get a palindrome (201034430102).

The spelling of 200012220100 in words is "two hundred billion, twelve million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 31 35 44 50 55 62 70 77 100 110 124 140 154 155 175 217 220 275 308 310 341 350 385 434 550 620 682 700 770 775 868 1085 1100 1364 1540 1550 1705 1925 2170 2387 3100 3410 3850 4340 4774 5425 6820 7700 8525 9548 10850 11935 17050 21700 23870 34100 47740 59675 119350 238700 837923 1675846 3351692 4189615 5865461 8379230 9217153 11730922 16758460 18434306 20948075 23461844 25975613 29327305 36868612 41896150 46085765 51951226 58654610 64520071 83792300 92171530 103902452 117309220 129040142 129878065 146636525 181829291 184343060 230428825 258080284 259756130 285731743 293273050 322600355 363658582 460857650 519512260 571463486 586546100 645200710 649390325 727317164 909146455 921715300 1142926972 1290401420 1298780650 1428658715 1613001775 1818292910 2000122201 2597561300 2857317430 3226003550 3636585820 4000244402 4545732275 5714634860 6452007100 7143293575 8000488804 9091464550 10000611005 14286587150 18182929100 20001222010 28573174300 40002444020 50003055025 100006110050 200012220100