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211212010012200 = 233521174329977009
BaseRepresentation
bin110000000001100010100000…
…110101000011111000101000
31000200211200010010112020212220
4300001202200311003320220
5210140444144030342300
62025113242523234040
762326364335052031
oct6001424065037050
91020750103466786
10211212010012200
116133156840337a
121b832376978920
1390b128cc60ba2
143a22a04343a88
151964198269da0
hexc018a0d43e28

211212010012200 has 96 divisors (see below), whose sum is σ = 654813010118400. Its totient is φ = 56318404469760.

The previous prime is 211212010012151. The next prime is 211212010012219. The reversal of 211212010012200 is 2210010212112.

It is a super-2 number, since 2×2112120100122002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 211212010012200.

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 23 ways as a sum of consecutive naturals, for example, 7942705 + ... + 22034304.

It is an arithmetic number, because the mean of its divisors is an integer number (6820968855400).

Almost surely, 2211212010012200 is an apocalyptic number.

211212010012200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211212010012200 is an abundant number, since it is smaller than the sum of its proper divisors (443601000106200).

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

211212010012200 is a wasteful number, since it uses less digits than its factorization.

211212010012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29988771 (or 29988762 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 211212010012200 its reverse (2210010212112), we get a palindrome (213422020224312).

The spelling of 211212010012200 in words is "two hundred eleven trillion, two hundred twelve billion, ten million, twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 11743 23486 35229 46972 58715 70458 93944 117430 140916 176145 234860 281832 293575 352290 469720 587150 704580 880725 1174300 1409160 1761450 2348600 3522900 7045800 29977009 59954018 89931027 119908036 149885045 179862054 239816072 299770090 359724108 449655135 599540180 719448216 749425225 899310270 1199080360 1498850450 1798620540 2248275675 2997700900 3597241080 4496551350 5995401800 8993102700 17986205400 352020016687 704040033374 1056060050061 1408080066748 1760100083435 2112120100122 2816160133496 3520200166870 4224240200244 5280300250305 7040400333740 8448480400488 8800500417175 10560600500610 14080800667480 17601000834350 21121201001220 26401501251525 35202001668700 42242402002440 52803002503050 70404003337400 105606005006100 211212010012200