Search a number
-
+
211010202012200 = 23522416967628363
BaseRepresentation
bin101111111110100110100100…
…001000101000101000101000
31000200010101012210011122122112
4233332212210020220220220
5210124142343203342300
62024440425405341452
762305661341261013
oct5776464410505050
91020111183148575
10211010202012200
1161263a19013aa8
121b7bb235867888
13909823b1b0536
143a16d3c0a637a
15195dcd620be35
hexbfe9a4228a28

211010202012200 has 96 divisors (see below), whose sum is σ = 492705892810560. Its totient is φ = 84041658086400.

The previous prime is 211010202012193. The next prime is 211010202012227. The reversal of 211010202012200 is 2210202010112.

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, 335495219 + ... + 336123581.

It is an arithmetic number, because the mean of its divisors is an integer number (5132353050110).

Almost surely, 2211010202012200 is an apocalyptic number.

211010202012200 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 211010202012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246352946405280).

211010202012200 is an abundant number, since it is smaller than the sum of its proper divisors (281695690798360).

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

211010202012200 is a wasteful number, since it uses less digits than its factorization.

211010202012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635587 (or 635578 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 211010202012200 its reverse (2210202010112), we get a palindrome (213220404022312).

The spelling of 211010202012200 in words is "two hundred eleven trillion, ten billion, two hundred two million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 241 482 964 1205 1928 2410 4820 6025 6967 9640 12050 13934 24100 27868 34835 48200 55736 69670 139340 174175 278680 348350 628363 696700 1256726 1393400 1679047 2513452 3141815 3358094 5026904 6283630 6716188 8395235 12567260 13432376 15709075 16790470 25134520 31418150 33580940 41976175 62836300 67161880 83952350 125672600 151435483 167904700 302870966 335809400 605741932 757177415 1211483864 1514354830 3028709660 3785887075 4377805021 6057419320 7571774150 8755610042 15143548300 17511220084 21889025105 30287096600 35022440168 43778050210 87556100420 109445125525 175112200840 218890251050 437780502100 875561004200 1055051010061 2110102020122 4220204040244 5275255050305 8440408080488 10550510100610 21101020201220 26376275251525 42202040402440 52752550503050 105505101006100 211010202012200