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21003322211120 = 2459722777118831
BaseRepresentation
bin1001100011010001101111…
…00011110011101100110000
32202100220020122012202001002
410301220313203303230300
510223104300441223440
6112400443143101132
74265303622061424
oct461506743635460
982326218182032
1021003322211120
116768505918357
1224327021417a8
13b947b293a572
145287cd9c2b84
152665280db115
hex131a378f3b30

21003322211120 has 80 divisors (see below), whose sum is σ = 49338735535488. Its totient is φ = 8314282229760.

The previous prime is 21003322211021. The next prime is 21003322211149. The reversal of 21003322211120 is 2111222330012.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×210033222111202 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 21003322211092 and 21003322211101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176690105 + ... + 176808935.

Almost surely, 221003322211120 is an apocalyptic number.

21003322211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21003322211120 is an abundant number, since it is smaller than the sum of its proper divisors (28335413324368).

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

21003322211120 is a wasteful number, since it uses less digits than its factorization.

21003322211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141718 (or 141712 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 21003322211120 its reverse (2111222330012), we get a palindrome (23114544541132).

The spelling of 21003322211120 in words is "twenty-one trillion, three billion, three hundred twenty-two million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 194 388 485 776 970 1552 1940 3880 7760 22777 45554 91108 113885 118831 182216 227770 237662 364432 455540 475324 594155 911080 950648 1188310 1822160 1901296 2209369 2376620 4418738 4753240 8837476 9506480 11046845 11526607 17674952 22093690 23053214 35349904 44187380 46106428 57633035 88374760 92212856 115266070 176749520 184425712 230532140 461064280 922128560 2706613687 5413227374 10826454748 13533068435 21652909496 27066136870 43305818992 54132273740 108264547480 216529094960 262541527639 525083055278 1050166110556 1312707638195 2100332221112 2625415276390 4200664442224 5250830552780 10501661105560 21003322211120