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21020122011200 = 2652131010582789
BaseRepresentation
bin1001100011110001000001…
…11001111101011001000000
32202102111121110000000021212
410301320200321331121000
510223343202213324300
6112412302153105252
74266440135033414
oct461704071753100
982374543000255
1021020122011200
116774646977854
122435a103b8228
13b9625c306680
14529544c6ad44
15266bace19935
hex131e20e7d640

21020122011200 has 84 divisors (see below), whose sum is σ = 55701302219220. Its totient is φ = 7761275811840.

The previous prime is 21020122011173. The next prime is 21020122011221. The reversal of 21020122011200 is 211022102012.

It can be written as a sum of positive squares in 6 ways, for example, as 8423414945344 + 12596707065856 = 2902312^2 + 3549184^2 .

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, 505270595 + ... + 505312194.

It is an arithmetic number, because the mean of its divisors is an integer number (663110740705).

Almost surely, 221020122011200 is an apocalyptic number.

21020122011200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21020122011200 is an abundant number, since it is smaller than the sum of its proper divisors (34681180208020).

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

21020122011200 is a wasteful number, since it uses less digits than its factorization.

21020122011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010582824 (or 1010582809 counting only the distinct ones).

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

Adding to 21020122011200 its reverse (211022102012), we get a palindrome (21231144113212).

The spelling of 21020122011200 in words is "twenty-one trillion, twenty billion, one hundred twenty-two million, eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 130 160 200 208 260 320 325 400 416 520 650 800 832 1040 1300 1600 2080 2600 4160 5200 10400 20800 1010582789 2021165578 4042331156 5052913945 8084662312 10105827890 13137576257 16169324624 20211655780 25264569725 26275152514 32338649248 40423311560 50529139450 52550305028 64677298496 65687881285 80846623120 101058278900 105100610056 131375762570 161693246240 202116557800 210201220112 262751525140 323386492480 328439406425 404233115600 420402440224 525503050280 656878812850 808466231200 840804880448 1051006100560 1313757625700 1616932462400 2102012201120 2627515251400 4204024402240 5255030502800 10510061005600 21020122011200