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211312000201220 = 22541257697561221
BaseRepresentation
bin110000000010111111101000…
…101101010111001000000100
31000201012020012121201010222222
4300002333220231113020010
5210144113434022414340
62025231220500111512
762336534232456062
oct6002775055271004
91021166177633888
10211312000201220
116136aa09248326
121b849821395598
1390ba836716ac9
143a277abd6d032
151966a9b6b78b5
hexc02fe8b57204

211312000201220 has 24 divisors (see below), whose sum is σ = 454578497995608. Its totient is φ = 82463219590400.

The previous prime is 211312000201189. The next prime is 211312000201273. The reversal of 211312000201220 is 22102000213112.

It can be written as a sum of positive squares in 4 ways, for example, as 7185230358784 + 204126769842436 = 2680528^2 + 14287294^2 .

It is a super-2 number, since 2×2113120002012202 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128848779791 + ... + 128848781430.

It is an arithmetic number, because the mean of its divisors is an integer number (18940770749817).

Almost surely, 2211312000201220 is an apocalyptic number.

211312000201220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211312000201220 is an abundant number, since it is smaller than the sum of its proper divisors (243266497794388).

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

211312000201220 is a wasteful number, since it uses less digits than its factorization.

211312000201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257697561271 (or 257697561269 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 211312000201220 its reverse (22102000213112), we get a palindrome (233414000414332).

The spelling of 211312000201220 in words is "two hundred eleven trillion, three hundred twelve billion, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 257697561221 515395122442 1030790244884 1288487806105 2576975612210 5153951224420 10565600010061 21131200020122 42262400040244 52828000050305 105656000100610 211312000201220