Search a number
-
+
201221202011200 = 2652717966178751
BaseRepresentation
bin101101110000001001110110…
…010001000110010001000000
3222101110120002112122221011221
4231300021312101012101000
5202333302010203324300
61551543424414444424
760245515653200350
oct5560116621062100
9871416075587157
10201221202011200
115912a483789248
121a69a025503714
13883810229b237
14379922dd28b60
15183e35a2cc31a
hexb70276446440

201221202011200 has 84 divisors (see below), whose sum is σ = 565862765972992. Its totient is φ = 68990126400000.

The previous prime is 201221202011189. The next prime is 201221202011237. The reversal of 201221202011200 is 2110202122102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8983078176 + ... + 8983100575.

Almost surely, 2201221202011200 is an apocalyptic number.

201221202011200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201221202011200 is an abundant number, since it is smaller than the sum of its proper divisors (364641563961792).

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

201221202011200 is a wasteful number, since it uses less digits than its factorization.

201221202011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17966178780 (or 17966178765 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 201221202011200 its reverse (2110202122102), we get a palindrome (203331404133302).

The spelling of 201221202011200 in words is "two hundred one trillion, two hundred twenty-one billion, two hundred two million, eleven thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 140 160 175 200 224 280 320 350 400 448 560 700 800 1120 1400 1600 2240 2800 5600 11200 17966178751 35932357502 71864715004 89830893755 125763251257 143729430008 179661787510 251526502514 287458860016 359323575020 449154468775 503053005028 574917720032 628816256285 718647150040 898308937550 1006106010056 1149835440064 1257632512570 1437294300080 1796617875100 2012212020112 2515265025140 2874588600160 3144081281425 3593235750200 4024424040224 5030530050280 5749177200320 6288162562850 7186471500400 8048848080448 10061060100560 12576325125700 14372943000800 20122120201120 25152650251400 28745886001600 40244240402240 50305300502800 100610601005600 201221202011200