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21220411032200 = 2352617171964433
BaseRepresentation
bin1001101001100110000110…
…00011111100001010001000
32210010122120221010111001202
410310303003003330022020
510240133400211012300
6113044304450003332
74320060365442302
oct464630303741210
983118527114052
1021220411032200
1168415868a3786
1224687a8876548
13bac0cb47b293
145351054a4972
1526bed192ead5
hex134cc30fc288

21220411032200 has 48 divisors (see below), whose sum is σ = 49417419398580. Its totient is φ = 8474407208960.

The previous prime is 21220411032199. The next prime is 21220411032239. The reversal of 21220411032200 is 223011402212.

It can be written as a sum of positive squares in 6 ways, for example, as 1578123862756 + 19642287169444 = 1256234^2 + 4431962^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85858817 + ... + 86105616.

Almost surely, 221220411032200 is an apocalyptic number.

21220411032200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21220411032200 is an abundant number, since it is smaller than the sum of its proper divisors (28197008366380).

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

21220411032200 is a wasteful number, since it uses less digits than its factorization.

21220411032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171965066 (or 171965057 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 21220411032200 its reverse (223011402212), we get a palindrome (21443422434412).

The spelling of 21220411032200 in words is "twenty-one trillion, two hundred twenty billion, four hundred eleven million, thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 617 1234 2468 3085 4936 6170 12340 15425 24680 30850 61700 123400 171964433 343928866 687857732 859822165 1375715464 1719644330 3439288660 4299110825 6878577320 8598221650 17196443300 34392886600 106102055161 212204110322 424408220644 530510275805 848816441288 1061020551610 2122041103220 2652551379025 4244082206440 5305102758050 10610205516100 21220411032200